Control Theory - Science topic

Dear Colleagues, Optimal control theory is a fundamental area of mathematics that has profound implications across numerous disciplines, including engineering, economics, biology, and more. By providing a framework for determining control strategies that optimize a given performance criterion, optimal control has become an essential tool for solvi...

Dear Colleagues, Mathematical modelling has become an essential tool in practically all technical fields nowadays. Applications in all areas of research appear every day: the fields of medicine, engineering, ecology, life sciences, social sciences, economy, psychology, etc., benefit from the emergence of novel mathematical techniques and the appli...

The subject of nonlinear analysis is of interest in its own right, and it also serves as a foundation for various fields of pure and applied mathematics. Researchers worldwide are actively analyzing and developing mathematical theories that can be applied to real-world problems. Through this conference, recent progress and advancements in different...

In recent years, along with some ground-breaking advances made by artificial intelligence (AI) in Go, chess, video games, computer vision, natural language processing, and the analysis and prediction of protein struc- tures, the inherent barriers of traditional disciplines are gradually being broken, and a cross-discipline wave is stead- ily underw...

For gas reservoirs with edge water, water easily transport into the gas reservoir along the water invasion dominant channel, which results that the water production is higher than expected during the development of gas wells, and then affects the production of gas wells. We had derived a water invasion unit numerical simulation model of oil–water t...

New probability models of inherently embodied cognition derived from the asymptotic limit theorems of information and control theories show, where the Weber–Fechner, Stevens, Hick–Hyman, and Pieron’s psychophysics laws—and analogous processes of sensory data rate compression—operate, that sufficient arousal will engender the classic Yerkes–Dodson e...

Contemporary dynamical models of human postural control propose an intermittent controller regulating the postural centre of pressure (CoP) about a stable saddle-shaped manifold along anatomical anteroposterior (AP) and mediolateral (ML) axes, releasing CoP in an outwards spiral when inactive. Experimental manipulations can evoke this saddle-type t...

Action control theories assume that stimulus and response features are integrated or bound into short term episodic traces. A repetition of any of these features results in a retrieval of the entire episodic trace, and can thus facilitate or interfere with future actions. Along with stimuli features, features of the response and any other irrelevan...

Optimal control theory is an extension of the calculus of variations. It is a mathematical optimization method for deriving control strategies for a dynamic system. In this paper, the system of differential equations for which we aim to utilize control theory is TikTok, which is one of the most attractive internet platforms. TikTok has garnered imm...

ECE 560 Modern Control Theory ABSTRACT This paper focuses on the development and implementation of Speed-Distance Braking in Autonomous Vehicles (SDBAV) utilizing MATLAB/SIMULINK. The study involves the creation of a plant model and control logic to comprehend the system's functionality. Through extensive data collection and simulation, the model c...

Employment transitions necessitate a degree of uncertainty and lack of control, which may present a challenge to succeeding and belonging at a new organization. The present research tests ideas derived from compensatory control theory which posits that people may seek external structure to help exert control over their lives when they experience a...

Bioprocesses are often characterised by nonlinear and uncertain dynamics, posing particular challenges for model predictive control (MPC) algorithms due to their computational demands when applied to nonlinear systems. Recent advances in optimal control theory have demonstrated that concepts from convex optimisation, tube MPC, and differences of co...

We systematically introduce an approach to the analysis and (numerical) solution of a broad class of nonlinear unconstrained optimal control problems, involving ordinary and distributed systems. Our approach relies on exact representations of the increments of the objective functional, drawing inspiration from the classical Weierstrass formula in C...

To solve the uncertainty of the parameters of the manipulator dynamics model, the control accuracy and convergence rate of the system affected by the joint friction and external interference, a compound control strategy based on the manipulator dynamics model is proposed. Firstly, a modified power-of-two convergence law is used and combined with an...

The Editorial Committee of Scientific Online Letters on the Atmosphere (SOLA) presents the SOLA Award to one or two outstanding papers published each year. We are pleased to announce that The SOLA Award in 2024 will be given to the paper by Dr. Yohei Sawada, entitled "Ensemble Kalman Filter Meets Model Predictive Control in Chaotic Systems" (Sawada...

We have introduced a novel approach to competency-based education in mechatronics from the undergraduate to the postgraduate level. What distinguishes this approach is the integration of modeling and control of sampled systems right from the beginning of the undergraduate education. It is achieved by changing the structure of the first-semester Cal...

This study aimed to analyze methods for modeling and controlling the output of nonlinear systems using feedback, analytical methods, mathematical modeling, and differential equation theory. Key findings include the mathematical characterization of equations and the analysis of system stability and asymptotic behavior. The study explored various met...

The dynamic partial differential equation (PDE) model governing longitudinal oscillations in magnetizable piezoelectric beams exhibits exponentially stable solutions when subjected to two boundary state feedback controllers. An analytically established exponential decay rate by the Lyapunov approach ensures rapid stabilization of the system to equi...

Given the importance of promoting a greener and more sustainable future, it is crucial to promptly tackle and improve the issues surrounding carbon emissions and inefficiency linked to traditional energy sources. This study presents a new optimization method for PV systems. It combines an IGWO Algorithm with PID-type SMC to enhance the effectivenes...

Load frequency control is necessary for power system management. The power system must maintain a frequency range to ensure power supply stability. System faults and demand fluctuations may cause frequencies to change quickly. System stability and integrity suffer. We are optimizing the two-degree-of-freedom (2-DOF) proportional-integral-derivative...

Heating districts have become one of the key infrastructures to efficiently and sustainably supply heat to consumers. With the current climate change crisis, not only are heating districts of the essence but their efficient and optimized operation as well. To analyze and achieve such an optimization, transient simulations of heating districts are n...

The time-delayed (TD) of velocity and position are employed throughout this investigation to lessen the nonlinear vibration of an exciting Van der Pol-Duffing oscillator (VdPD). The issue encompasses multiple real-world elements such as feedback lags, signal transmission delays, and delayed responses in mechanical, electrical, or biological systems...

Africa still faces significant challenges due to malaria, which calls for creative methods to disease modeling and control measures. In order to capture the non-local and memory effects that are inherent in the disease transmission process, we present a novel mathematical framework in this study that integrates treatment and vaccine as control meth...

The analysis of dynamic stability is a fundamental and an important concept in systemdynamics. Its focus is on the ability of a dynamical system to return to an equilibrium stateunder structured perturbations. The study of dynamic stability plays critical role in various fields,for instance, engineering, control theory, and economics. The analysis...

We investigate maximum power and efficiency protocols for cyclic heat engines based on a generally damped Brownian particle confined in a harmonic potential, subject to experimentally motivated constraints on the potential stiffness and bath temperature. These constraints render traditional geometric and mass transport methods inapplicable, as they...

Anxiety is known to significantly impair cognitive function, particularly attentional control. While exercise has been demonstrated to alleviate these cognitive deficits, the precise neural mechanisms underlying these effects remain poorly understood. This study examines the effects of exercise on attentional control in individuals with high trait...

While cloud environments and auto-scaling solutions have been widely applied to traditional monolithic applications, they face significant limitations when it comes to microservices-based architectures. Microservices introduce additional challenges due to their dynamic and spatiotemporal characteristics, which require more efficient and specialized...

The main burden in treating human immunodeficiency virus (HIV) infection currently, is the side effects of the antiretroviral therapy (ART) used, because each treatment is toxic to the liver. This study uses optimal control theory applied to a mathematical model that describes the dynamics of HIV infection in the liver. The optimal controls are pre...

The paper presents an approach to studying optimal control problems in the space of nonnegative measures with dynamics given by a nonlocal balance law. This approach relies on transforming the balance law into a continuity equation in the space of probabilities, and subsequently into an ODE in a Hilbert space. The main result is a version of Pontry...

In the paper [H. Kubo, Global existence for exterior problems of semilinear wave equations with the null condition in 2D, Evol. Equ. Control Theory 2 (2013), no. 2, 319-335], for the 2-D semilinear wave equation system $(\partial_t^2-\Delta)v^I=Q^I(\partial_tv, \nabla_xv)$ ($1\le I\le M$) in the exterior domain with Dirichlet boundary condition, it...

The area of research includes: control theory, dynamic systems, parameters of the external environment, mode, integral indicators, strategy. The general problem of assessing the state of large economic objects (enterprises) is revealed. There is no unified assessment a control of through strategic planning. The article proposes an integral indicato...

This survey provides a comprehensive overview of the solutions to the matrix equation AXB=C over real numbers, complex numbers, quaternions, dual quaternions, dual split quaternions, and dual generalized commutative quaternions, including various special solutions. Additionally, we summarize the numerical algorithms for these special solutions. Thi...

Background/Objectives: Cancer is a dynamic and complex disease that remains largely untreated despite major advances in oncology and treatment. In this context, we aimed here to investigate optimal control techniques in the management of tumor growth inhibition, with a particular focus on cancer chemotherapy treatment strategies. Methods: Using bot...

The area of research includes control theory, dynamic systems, parameters of the external environment, mode, integral indicators, British standards. The main idea of the article is information security. The activity of a large-scale object (enterprise) is considered. The activity of the enterprise is presented as a multidimensional dynamic system a...

Good sleep is essential for a healthy life. While airflow improves sleep in a hot environment, it may cause an excessive drop in body temperature because thermal-adaptive behavior is inactive during sleep. This study aims to propose an airflow control theory that prevents the excessive drop in body temperature while maintaining good sleep. The theo...

In recent years, continuous efforts have been made for the modelling and stability analysis of converter-dominated grids. Ensuring stability in converter-dominated grids presents a unique challenge, primarily due to the manufacturers’ intellectual property (IP) protections. Determining the robust stability boundary of a grid incorporating converter...

Real-time dynamic capture of a single moving target is one of the most crucial and representative tasks in UAV capture problems. This paper proposes a multi-UAV real-time dynamic capture strategy based on a differential game model to address this challenge. In this paper, the dynamic capture problem is divided into two parts: pursuit and capture. F...

The precise position control of a DC servo motor is a major concern in today's control theory. This work presents position following and forecast of DC servo engine utilizing an alternate control technique. Control technique is required to limit and diminish the consistent state error. A model predictive controller MPC is utilized to plan and actua...

This paper offers several new sufficient conditions of the partial moment stability of linear hybrid stochastic systems with delay. Despite its potential applications in economics, biology and physics, this problem seems to have not been addressed before. A number of general theorems on the partial moment stability of stochastic hybrid systems are...

This article presents recent advances in the theory of generalised Gronwall's inequality, underscoring its pivotal role in the analysis of initial-value problems, the stability of solutions, and the asymptotic behaviour of both ordinary and partial differential equations. We discuss extended forms of the inequality, including non-linear and discret...

For decades power systems academics have proclaimed the need for real time prices to create a more efficient grid. The rationale is economics 101: proper price signals will lead to an efficient outcome. This talk surveys the many reasons why this conclusion is not observed in practice. Most significant today is that the standard model of consumer...

Bang–bang dynamical decoupling protects an open quantum system from decoherence due to its interaction with the surrounding bath/environment. In its standard form, this is achieved by strongly kicking the system with cycles of unitary operations, which average out the interaction Hamiltonian. In this paper, we generalize the notion of dynamical dec...

The financial trading landscape has evolved significantly with the advent of algorithmic trading, machine learning, and quantitative finance. This paper introduces a novel framework for trading that integrates concepts from mathematical finance, optimal control theory, and machine learning. We present an approach that incorporates market data, risk...

Neuropsychiatric disorders are caused by many factors and produce a wide range of symptomatic maladaptive behaviors in patients. Despite this great variance in causes and resulting behavior, we believe the maladaptive behaviors that characterize neuropsychiatric disorders are most proximally determined by networks of neurons and that this forms a c...

Can a micron-sized sack of interacting molecules autonomously learn an internal model of a complex and fluctuating environment? We draw insights from control theory, machine learning theory, chemical reaction network theory and statistical physics to develop a general architecture whereby a broad class of chemical systems can autonomously learn com...

We consider a nonlinear system of coupled ordinary differential equations (representing the excitatory, inhibitory, and T-cell potentials) based on the Gate Control Theory of Pain, initially proposed by R. Melzack and P.D. Wall in 1965, and later mathematically modeled by N.F. Britton and S.M. Skevington in 1988.

Methods were initiated by Mark Kac and Richard Feynman to evaluate random functionals of the form $\int^t_0V(X_s)ds$ for a nonnegative $V$ and a Markov process $X_t$. Their results evolved into the well known Feynman Kac formula. Functionals of this type appear in both theoretical and applied applications in partial differential equations, quantum...

This paper extends the theoretical framework of neural network operators activated by perturbed hyperbolic tangent functions, focusing on dynamic systems and adaptive control. By incorporating advanced perturbation techniques, differential geometry, and variational methods, we establish robust operators with enhanced convergence and stability prope...

Refractory angina pectoris (RAP) is a clinical syndrome characterized by persistent chest pain caused by myocardial ischemia that is unresponsive to optimal pharmacological therapy and revascularization procedures. Spinal cord stimulation (SCS) has emerged as a promising therapeutic option for managing RAP, offering significant symptom relief and i...

This article used control theory to derive a non-linear exergoeconomic model for a bench-scale pyrolysis unit. A combination of an autoregressive model with an exogenous input model was involved to investigate the energy system. The economic prospects of the unit were also examined by assigning the cost to the exergy content of the energy stream. T...

Authors are invited to submit original research articles, review papers, and technical notes covering, but not limited to, thefollowing topics: • Fractional order control design and synthesis. • Fractional order modeling and simulation. • Applications of fractional order systems in robotics, automotive, aerospace, and more. • Fractional order o...

In the Kolmogorov Theory of Consciousness, algorithmic agents utilize inferred compressive models to track coarse-grained data produced by simplified world models, capturing regularities that structure subjective experience and guide action planning. Here, we study the dynamical aspects of this framework by examining how the requirement of tracking...

Using the low-voltage and low-current platform (220 VAC-10 A), this paper selected the Mayr arc theoretical model and the improved control theory model as a theoretical basis and built a single-phase low-voltage AC series arc model based on Simulink. The simulation results showed that arc dissipation power directly determined arc voltage amplitude,...

This study addresses the limitations of conventional lighting systems, which often fail to adapt to dynamic changes in occupancy, daylight availability, and user preferences, resulting in significant energy waste and compromised user comfort. To address these shortcomings, this study presents a cost-effective & highly efficient real-time IoT-enable...

The enduring availability of high‐caloric, tempting food in consumer environments has been identified as a major cause driving the obesity epidemic. The severity of the problem tends to hide the important fact that many consumers often resist food temptations. This article aims at designing consumption reduction strategies that build on the spontan...

Heat engines transform thermal energy into useful work, operating in a cyclic manner. For centuries, they have played a key role in industrial and technological development. Historically, only gases and liquids have been used as working substances, but the technical advances achieved in recent decades allow for expanding the experimental possibilit...

In the field of industrial automation control systems, PID control algorithms are widely used in various control fields such as temperature, speed and position. Among them, fuzzy PID control can improve control accuracy and stability, can significantly improve product quality and production efficiency, in food processing, chemical engineering, phar...

Recently, many research works have been devoted to adapt fundamental concepts of control theory to conformable fractional systems. In this direction, the paper addresses the questions of the stability and the stabilizability of these systems in an infinite-dimensional state space setting. First, we state a sufficient condition for the exponential s...

Fractional order polynomials, which expand the notion of integer order polynomials, have substantial applications in many domains including control theory, signal processing, and complex dynamic systems. The roots of these polynomials, defined as the variable values that nullify the polynomial, are essential for comprehending their behavior and app...

Network control theory (NCT) has recently been utilized in neuroscience to facilitate our understanding of brain stimulation effects. A particularly useful branch of NCT is optimal control, which focuses on applying theoretical and computational principles of control theory to design optimal strategies to achieve specific goals in neural processes....

Artificial neural networks and their applications in deep learning have recently made an incursion into the field of control. Deep learning techniques in control are often related to optimal control, which relies on the Pontryagin maximum principle or the Hamilton-Jacobi-Bellman equation. They imply control schemes that are tedious to implement. We...

Artificial neural networks and their applications in deep learning have recently made an incursion into the field of control. Deep learning techniques in control are often related to optimal control, which relies on Pontryagin maximum principle or the Hamilton-Jacobi-Bellman equation. They imply control schemes that are tedious to implement. We sho...

Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask what is the best way to change in time its controllable parameters in order to maximize, on average, a certain re...

This research introduces a new approach utilizing optimal control theory (OCT) to assess the Social Optimum (SO) of a vaccination game, navigating the intricate considerations of cost, availability, and distribution policies. By integrating an SIRS/V epidemic model with a behavior model, the study analyzes individual vaccination strategies. A uniqu...

In this paper, the optimal control theory is applied to a temperature optimization problem by coupling finite element and finite volume codes. The optimality system is split into the state and adjoint system. The direct problem is solved by the widely adopted finite volume OpenFOAM code and the adjoint-control equation using a variational formulati...

The rapid advancements in synthetic biology and biotechnology have opened up unprecedented opportunities to engineer biological systems for applications in medicine, environmental sustainability, and industrial production. However, the complexity of these systems demands a rigorous mathematical foundation to design, analyze, and optimize them effec...

The steady droplet-jet electrospinning mode is a preferred mode for the production of fine nanofibers. However, it can only be achieved within a narrow range of operating parameters. The experimental findings on the range are not universally applicable due to the coupled interactions among solution properties, electric field configurations, and ope...

Given that the network topology can accurately describe the intricate connections between many individuals, this paper studies the dynamic behavior of the Susceptible-Infected-Recovery (SIR) model with network structure, and obtains the necessary conditions for the system to have Turing bifurcation in homogeneous networks and heterogeneous networks...

This paper focuses on a class of fractional-order systems with state delays and studies the design problem of the finite-time bounded tracking controller. The error system method in preview control theory is first used. By taking fractional-order derivatives of the state equations and error signals, a fractional-order error system is constructed. T...