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Publications related to Control Theory (10,000)
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In this article, we study the strong well-posedness, stability and optimal control of an incompressible magneto-viscoelastic fluid model in two dimensions. The model consists of an incompressible Navier–Stokes equation for the velocity field, an evolution equation for the deformation tensor, and a gradient flow equation for the magnetization vector...
Article
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We formulate an age-structured SEIR epidemic model using vaccination and treatment as control measures. Using the method of characteristics and fixed point arguments, we prove the existence of a unique positive solution to our proposed nonlinear model. We use a suitable objective functional and prove the existence of optimal control variables. Depe...
Article
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Environmental management optimizing a long‐run objective is an ergodic control problem whose resolution can be achieved by solving an associated non‐local Hamilton–Jacobi–Bellman (HJB) equation having an effective Hamiltonian. Focusing on sediment storage management as a modern engineering problem, we formulate, analyze, and compute a new ergodic c...
Article
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Brushless DC motors (BLDCM) are utilized in various applications, including electric cars, medical and industrial equipment, where high-efficiency speed control is necessary to meet load and tracking reference fluctuations. In this study, the optimal parameters of proportional-integral (PI) and sliding mode controller (SMC) for BLDC motor speed con...
Article
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This analysis of data collected from a nationwide survey in 2021 focused on the prevalence and importance of different forms of social control particularly semiformal social control in community order maintenance within rural China. Scholars have a growing interest in China’s semiformal control. However, prior studies lack quantitative research on...
Article
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The subject of this paper is the geometry of orbits of a family of smooth vector fields defined on a smooth manifold and singular foliations generated by the orbits. As is well known, the geometry of orbits of vector fields is one of the main subjects of investigation in geometry and control theory. Here we propose several author’s results on this...
Article
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All open quantum systems are affected by environmental noises due to their interactions with the external environment and inevitably suffer from decoherence. Hence, it is fundamentally important and necessary to investigate decoherence suppression for open quantum systems via proper control strategies. Inspired by feed-forward control in the classi...
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In this article, the problem of fuzzy adaptive fixed-time control is addressed for nonstrict-feedback nonlinear systems with input saturation and dead zone. The universal approximation properties of fuzzy logic systems are employed to model the unknown nonlinear functions. A command filter-based fixed-time adaptive fuzzy control strategy is present...
Preprint
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We describe a reformulation (following Hales (2017)) of a 1934 conjecture of Reinhardt on pessimal packings of convex domains in the plane as a problem in optimal control theory. Several structural results of this problem including its Hamiltonian structure and Lax pair formalism are presented. General solutions of this problem for constant control...
Article
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In recent years, the agricultural applications of unmanned vehicles have garnered significant attention thanks to the rapid development of global positioning systems, inertial navigation technology, and control theory. In this study, a novel sliding mode controller for farm vehicles lateral path tracking control in the presence of unknown disturban...
Article
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Examination misconduct is as old as education in Nigeria itself and its effect on the sector and the nation as a whole is crippling and retrogressive. This paper developed deterministic model for reducing examination misconducts. The model, which consists of four ordinary differential equations, was analyzed strictly. The model was extended and opt...
Article
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Artificial intelligence is becoming an increasingly popular tool in more and more areas of technology. New challenges in control systems design and application are related to increased productivity, control flexibility, and processing of big data. Some kinds of systems require autonomy in real-time decision-making, while the other ones may serve as...
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We consider an optimal robust investment and reinsurance problem for a general insurance company which holds shares of an insurance company and a reinsurance company. It is assumed that the decision-maker is ambiguity-averse and does not have perfect information in drift terms of the investment and insurance risks. To capture the ambiguity aversion...
Article
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Electroencephalogram (EEG)-based brain–computer interfaces (BCIs) provide a novel approach for controlling external devices. BCI technologies can be important enabling technologies for people with severe mobility impairment. Endogenous paradigms, which depend on user-generated commands and do not need external stimuli, can provide intuitive control...
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What are similarities and differences between violent and nonviolent terrorist suspects? Our study aims to answer this question by comparing violent terrorist suspects (VTS) ( n = 57) to nonviolent terrorist suspects (NVTS) ( n = 292) in the Netherlands. Guided by social control theories and using register data from the Dutch Public Prosecution Ser...
Preprint
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The maximum-tolerated dose principle, the highest possible drug dose in the shortest possible time period, has been the standard care for cancer treatment. Although it is appealing in a homogeneous tumor setting, tumor heterogeneity and adaptation play a significant role in driving treatment failure. They are still major obstacles in cancer treatme...
Article
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In this work, we present a numerical algorithm to solve the inverse problem of volumetric sources from measurements on the boundary of a non-homogeneous conductive medium, which is made of conductive layers with constant conductivity in each layer. This inverse problem is ill-posed since there is more than one source that can generate the same meas...
Preprint
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In this paper, the problem of non-fragile finite-time stabilization for linear discrete mean-field stochastic systems is studied. The uncertain characteristics in control parameters are assumed to be random satisfying the Bernoulli distribution. A new approach called the ``state transition matrix method" is introduced and some necessary and suffici...
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We consider a Hamilton–Jacobi equation where the Hamiltonian is periodic in space and coercive and convex in momentum. Combining the representation formula from optimal control theory and a theorem of Alexander, originally proved in the context of first-passage percolation, we find a rate of homogenization which is within a log-factor of optimal an...
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Investigating the dynamical behavior of a system is an effective method to predict and control its future behavior. Studying the dynamic behavior of a virus can prevent the pathogenicity of a virus and save human lives during the disease epidemic. If the transmission of information from the virus genome to the environment is locked, the pathogenici...
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There is limited empirical efficacy evidence on the confluence of artificial intelligence (AI) and organisational and life coaching. Coaching "works" but is often unavailable or unaffordable. AI could scale coaching to reach a wider audience, however, we do not yet know how well AI coaching "works". This replication randomised controlled trial long...
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The concept of a fractional derivative is not at all intuitive, starting with not having a clear geometrical interpretation. Many different definitions have appeared, to the point that the need for order has arisen in the field. The diversity of potential applications is even more overwhelming. When modeling a problem, one must think carefully abou...
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Time series classification (TSC) has been addressed and analysed through a wide spectrum of algorithms. Nevertheless, few have considered the notion of spiking or non-spiking neural networks (NNs) and their performance in TSC tasks. Seminal Reservoir Computing (s-RC) with random connected recurrent neural networks is categorized among the fastest a...
Article
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Autonomic computing investigates how systems can achieve (user) specified “control” outcomes on their own, without the intervention of a human operator. Autonomic computing fundamentals have been substantially influenced by those of control theory for closed and open-loop systems. In practice, complex systems may exhibit a number of concurrent and...
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Today supply chains must internalize the impact of transport on the environment in their cost models. Therefore, managers must reduce green house gas emissions while striving to increase cost efficiency and satisfy demand. Our multi-echelon supply chain model minimizes pollution and cost while trying to achieve the best match between supply and dem...
Article
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Synchronization of chaotic systems is considered to be a common engineering problem. However, the proposed laws of synchronization control do not always provide robustness toward the parametric perturbations. The purpose of this article is to show the use of synergy-cybernetic approach for the construction of robust law for Arneodo chaotic systems...
Article
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In this work, optimal control theory is used for mathematical model presenting the interactions between cancerous cells, immune system and chemotherapy intervention. Assuming that the total amount of chemotherapy drug during the therapy period is known and by applying techniques from optimal control theory, we aim to include an isoperimetric constr...
Article
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In this paper, a new class of periodic self-triggered intermittent control with sampled-data (PSICS) is designed to tackle the stabilization issue for stochastic complex networks with time delays and Lévy noise (SCNTL). Therein, the self-triggered scheme is propounded with regard to intermittent control which is periodic judgment, and there exists...
Chapter
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The control field in the Industry 4.0 creates a twin of an object or a business process for managing it. An automated system is a tool for optimization because the digital twin allows offline optimization, improving the process's efficiency. Thus, modeling and characterization become a fundamental part of the control processes but determining the m...
Article
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A key challenge of DC–DC converters is designing an appropriate controller for reaching the output voltage to steady-state in a limited time with small variation. In addition, the parameters of converters may be affected by different factors that can make difficulties to voltage regulation. Robust control theory is a significant method to deal with...
Article
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In recent years, public–private partnership (PPP) mode has been developed greatly in China's infrastructure and public services, which can effectively solve the financial difficulties of local governments. This article selects the residual value risk (RVR) as an important index in the risk control of PPP project and constructs and verifies the pre-...
Preprint
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We present some new convergence results for two-timescale gradient descent ascent (GDA) applied to approximately solve the nonconvex-concave minimax problems in the form of $\min_\x \max_{\y \in \YCal} f(\x, \y)$, where the objective function $f(\x, \y)$ is nonconvex in $\x$ but concave in $\y$ and $\YCal \subseteq \br^n$ is a convex and bounded se...
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Determining the risk and protective factors of youth prescription drug use across racial/ethnic groups is still an important area of inquiry, as most studies have only been conducted with White, African American, and Latinx adolescents. General strain theory, social control theory, and social learning theory guided the selection of the risk and pro...
Article
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Infectious diseases drive countries to provide vaccines to individuals. Due to the limited supply of vaccines, individuals prioritize receiving vaccinations worldwide. Although, priority groups are formed based on age groupings due to the restricted decision-making time. Governments usually ordain different health protocols such as lockdown policy,...
Preprint
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This paper addresses the problem of optimal robust stabilization of a discrete-time minimum-phase plant in the framework of robust control theory in the $\ell_1$ setup and under poor a priori information. Coefficients of the transfer function of the plant nominal model with stable zeros are unknown and belong to a known bounded polyhedron in the sp...
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Five years ago, we reviewed the state of memorable message scholarship in communication, with special attention to the utility of memorable message research in health communication. Since then, works advancing the theoretical and practical applicability of the construct have continued to emerge. In this article, we discuss the trends in published m...
Article
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This work aims to avoid the complex control process caused by complex coupling and serious interference of control variables in traditional greenhouse environmental control and achieve the adaptive control of agricultural greenhouse. This work studies smart agricultural greenhouses' adaptive control and supply chain management based on the intellig...
Conference Paper
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A third of the Dutch highways is monitored and controlled by roadside units. These RSUs are safety-critical systems, as they safeguard roadworks and accidents. Therefore, it is essential to have guarantees on the correctness of the roadside unit controller. Using supervisory control theory, a correct-by-construction supervisor is obtained from a mo...
Research Proposal
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Message from the Guest Editor This Special Issue focuses on causal inference models for heterogeneous data of (not only) the described heterogeneous nature. As working approaches and tools to be selected here is information theory, probability and to them related machine learning tools. Information theory here is to be interpreted broadly, includin...
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In this paper, we propose a new definition of sustainability that includes dynamics and equity. We propose a theoretical framework that allows finding a fair and sustainable strategy for all stakeholders. More precisely, the framework allows calculating a strategy which ensures that in the long run the interests of all the stakeholders are reconcil...
Article
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The assessment of the bounded-input bounded output (BIBO) stability of a dynamic system is of paramount importance in the process control theory and practice. In this paper, we have developed a BIBO stability analysis method for linear time-invariant systems on the basis of Howland’s eigenvalue separation theorem, which involves the matrix sign fun...
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U.S. Air Force enlisted professional military education shifted traditionally in-person leadership interventions online due to the COVID-19 pandemic. Air Force guidance stated that pre-service faculty training focused on in-person instruction was sufficient for teaching online and that instructors did not require training that included online teach...
Preprint
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Driven by the necessity to combat climate change, Electric Vehicles (EV) are being deployed to take advantage of their ability in reducing emissions generated by the transportation sector. This deployment has left the power grid vulnerable to attacks through the EV infrastructure. This paper is written from an attacker\'s perspective and proposes a...
Article
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The VSC-HVDC system can damp the inter-area low-frequency oscillation effectively. To enhance the ability of the VSC-HVDC supplementary control, this article proposes a unified low-frequency oscillation controller design using the robustness theory. The unified control strategy uses both the active power control and reactive power control loop of t...
Article
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The autonomous landing of an unmanned aerial vehicle (UAV) on a moving platform is an essential functionality in various UAV-based applications. It can be added to a teleoperation UAV system or part of an autonomous UAV control system. Various robust and predictive control systems based on the traditional control theory are used for operating a UAV...
Article
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This article is devoted to the study of lower semicontinuous solutions of Hamilton-Jacobi equations with convex Hamiltonians in a gradient variable. Such Hamiltonians appear in the optimal control theory. We present a necessary and sufficient condition for a reduction of a Hamiltonian satisfying optimality conditions to the case when the Hamiltonia...
Article
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Gray system theory is a new field of control theory, which is the product of applying cybernetics and methods to social and economic systems, and is also the product of the combination of control theory and operations research. It takes the gray system as the research object. Whitening, desalination, quantification, modeling, and optimization are t...
Preprint
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We present possible design concepts for a tractor atom interferometer (TAI) based on three-dimensional confinement and transport of ultracold atoms. The confinement reduces device size and wave-packet dispersion, enables arbitrary holding times, and facilitates control to create complex trajectories that allow for optimization to cancel unwanted se...
Article
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The automated manufacturing systems (AMS) can be regarded as a resource allocation system which can be abstracted as discrete event systems (DES) for analysis. Once an effective computational method is put forward to the DES, the corresponding real AMS, connected by networks or sensors, can be indirectly controlled. Supervisory control theory (SCT)...
Conference Paper
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Environmental uncertainties and hyperconnectivity force techno-socioeconomic systems to introspect and adapt to succeed and survive. Current practice is chiefly intuition-driven which is inconsistent with the need for precision and rigor. We propose that this can be addressed through the use of digital twins by combining results from Modelling & Si...
Article
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The original pharmacokinetics (PK) two‐compartment model illustrates the change law of the drug in the central and peripheral chambers after administration, respectively. Although this deterministic model has derived many practical conclusions, it is based on simplifications and neglects noise, which is inherent to pharmacological processes. The ac...
Article
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This paper is devoted to studying the passivity-based sliding mode control for nonlinear systems and its application to dock cranes through an adaptive neural network approach, where the system suffers from time-varying delay, external disturbance and unknown nonlinearity. First, relying on the generalized Lagrange formula, the mathematical model f...
Article
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Muscle spindles are encapsulated sensory organs found in most of our muscles. Prevalent models of sensorimotor control assume the role of spindles is to reliably encode limb posture and movement. Here, I argue that the traditional view of spindles is outdated. Spindle organs can be tuned by spinal γ motor neurons that receive top-down and periphera...
Article
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This paper investigates the Pareto optimal strategy of discrete-time stochastic systems under H∞ constraint, in which the weighting matrices of the weighted sum cost function can be indefinite. Combining the H∞ control theory with the indefinite LQ control theory, the generalized difference Riccati equations (GDREs) are obtained. By means of the so...
Article
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Fibromyalgia (FM) is an unsolved central pain processing disturbance. We aim to provide a unifying model for FM pathogenesis based on a loop network involving thalamocortical regions, i.e., the ventroposterior lateral thalamus (VPL), the somatosensory cortex (SC), and the thalamic reticular nucleus (TRN). The dynamics of the loop have been describe...
Article
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One of the crucial problems in control theory is the tracking of exogenous signals by controlled systems. In general, such exogenous signals are generated by exosystems. These tracking problems are formulated as optimal regulation problems for designing optimal tracking control laws. For such a class of optimal regulation problems, we derive a redu...
Article
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In this present paper, the principles of optimal control theory is applied to a non-linear mathematical model for the population dynamics of criminal gangs with variability in the sub-population. To decrease (minimize) the progression rate of susceptible populations with no access to crime prevention programs from joining criminal gangs and increas...
Article
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As is often the case in practice, classical control theory does not fully provide sufficient tools for solving applied problems of a certain specific class. Such problems include automatic control of waste heat boilers where physical restrictions are imposed on controls, namely, they must belong to the class of non-negative functions with restricti...
Article
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Animosity towards mathematics is a very common worldwide problem and it is usually caused by wrong information, low participation, low challenge tolerance, falling further behind, being unemployed, and avoiding the advanced math classes needed for success in many careers. In this study, we have considered and formulated the new SEATS compartmental...
Article
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Smart heating controls are being introduced in the domestic sector with the aim of reducing heating demand in buildings. However, the impact of controls on heat demand is not fully understood. This study set out to add empirical evidence to Kempton’s theory on mental models of home heat controls. With this purpose, radiator setpoint records from sm...
Preprint
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We propose a mathematical spatiotemporal epidemic SICA model with a control strategy. The spatial behavior is modeled by adding a diffusion term with the Laplace operator, which is justified and interpreted both mathematically and physically. By applying semigroup theory on the ordinary differential equations, we prove existence and uniqueness of t...
Article
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In this paper, an Optimized Synergetic Nonlinear Controller (OSNC) is proposed to efficiently determine the maximum power point of a Photovoltaic Generator matched to the load through a DC-DC boost converter. The dynamic equation of the conventional synergetic controller is modified to adjust the Manifold in such a way that the optimum maximum powe...