Shikha Mittal

University of Delhi | DU · Jesus and Mary College

This paper examines mixed tracking control and projective synchronization of two identical 6D hyperchaotic systems via active control technique. The designed control functions for the mixed tracking enable each of the system state variables to stabilize at different chosen positions as well as control each state variables of the system to track diffe...

In this manuscript, hybrid function projective synchronization of Bhalekar–Gejji and Pehlivan chaotic systems is established by applying adaptive control technique where the system parameters are unknown. In this manuscript both the master and slave system are chosen in such a way that none of them can be derived from the member of the unified chao...

This chapter presents the multi-switching synchronization of nonlinear hyperchaotic systems via active backstepping control. The multi-switching complete synchronization scheme has been examined such that the state variables of slave system synchronize with different state variables of master system. The controllers are computed via active backstep...

Jerk chaotic systems have many applications in science and engineering. In the past few decades, significant attention has been paid on the modeling of new jerk differential equations arising in engineering. An important model of a plasma torch jerk differential equation exhibiting chaos was reported by Ghorui et al. (2000). The Ghorui jerk system...

Nature has given us a large amount of energy in different forms because the law of energy conversion declares that it is already there and neither created nor destroyed, rather transformed and transferred only in another form. Scientists in the field are conducting numerous studies on sustainable resources to compensate for traditional fuels runnin...

This book chapter presents two novel maximum power point tracking (MPPT) techniques for photovoltaic (PV) panels. The two corresponding techniques are a fractional-order proportional integral derivative (FOPID) controller with compensation. The second one is a fractional-order terminal sliding mode control (FOTSMC) for MPPT purposes. The first part...

This chapter presents a dynamic neural-wavelet network with online parameter adjusting by a dissipation approach for the solar irradiation and solar daily hours forecast. The main idea of the results shown in this study is based on the design of a dynamic wavelet neural network considered a discrete dynamic system to ensure stability and accuracy i...

This manuscript focuses on the synchronization of the nonlinear fractional order system by multi-switching combination. Two master systems and two slave systems are considered for combination-combination multiple-switch synchronization technology and various master systems are syncing with different slave systems. The Lorenz method of the nonlinear...

This paper describes multi-switching synchronization schemes between three similar chaotic fractional-order systems. The Rössler fractional system is considered to apply the technique. With multi-switch combination synchronization, two drive system state variables are synchronized with different response system state variables at the same time. The...

This manuscript investigates the synchronization between a novel integer order hyperchaotic system and a fractional order hyperchaotic system. The controllers are constructed using the technique of tracking controller and the stability theory of the linear fractional order system. Chaotic analysis of the introduced novel integer order hyperchaotic...

In this manuscript, we investigate the methodology of combination-combination anti-synchronization of four identical fractional order hyperchaotic system. The methodology is implemented by considering a 4D fractional order hyperchaotic system. The controllers are constructed using adaptive control technique to ensure the combination-combination ant...

Chaos is a bounded unstable dynamic behavior that exhibits sensitive dependence on initial conditions and includes infinite unstable periodic motions. This article examines the controlling of a chaotic system via optimal control technique which is based on the Pontryagin minimum principle. A 3D chaotic system is considered to apply this scheme whic...

Chaos theory deals with the behavior of dynamical systems that are highly sensitive to initial conditions. Chaotic systems are characterized by the property that small changes in the initial conditions result in widely diverging responses. In this paper, new control schemes of synchronization for different arbitrary incommensurate and commensurate...

This manuscript investigates a novel 3D autonomous chaotic system which generates two strange attractors. The Lyapunov exponent, bifurcation diagram, Poincaré section, Kaplan–Yorke dimension, equilibria and phase portraits are given to justify the chaotic nature of the system. The novel system displays fixed orbit, periodic orbit, chaotic orbit as...

This paper investigates the multi-switching master–slave synchronization of non-identical chaotic systems in which state variables of a master system are synchronized with different state variables of a slave system using the sliding mode control technique. To design the appropriate controllers via sliding mode control for different switches, Lyapu...

In this manuscript, the methodology to achieve combination‐combination synchronization of time‐delay chaotic system via robust adaptive sliding mode control is introduced. The methodology is implemented by taking identical multiple time‐delay Lorenz chaotic system. By using rigorous mathematical theory, the sufficient condition is drawn for the sta...

This chapter announces a new four-dimensional hyperchaotic system having two positive Lyapunov exponents, a zero Lyapunov exponent, and a negative Lyapunov exponent. Since the sum of the Lyapunov exponents of the new hyperchaotic system is shown to be negative, it is a dissipative system. The phase portraits of the new hyperchaotic system are displ...

This chapter investigates the multi-switching combination synchronization of three non-identical chaotic systems via active control technique. In recent years, some advances have been made with the idea of multi-switching combination synchronization. The different states of the master systems are synchronized with the desired state of the slave sys...

This manuscript examines a novel 4D continuous autonomous hyperchaotic system with two scroll attractor. This system does not produce any equilibrium point so, it generates hidden hyperchaotic attractor. The Lyapunov exponent, bifurcation diagram, Poincaré section, Kaplan–Yorke dimension and phase portraits are given to justify the hyperchaotic nat...

Based on stability theory of linear fractional order systems and stability theory of linear integer order systems, the problem of coexistence of various types of synchronization between different dimensional fractional chaotic systems is investigated in this paper. Numerical and simulation results have clearly shown the effectiveness of the novel a...

This manuscript investigates the combination synchronization of identical Genesio time-delay chaotic system via robust adaptive sliding mode control. For this purpose the corresponding methodology is also developed. The stability of error dynamics is established by using Lyapunov stability theory and detailed mathematical theory. Finally, numerical...

In this paper, the methodology to achieve combination synchronization of time-delay chaotic system via robust adaptive sliding mode control is introduced. The methodology is implemented by taking identical time-delay Lorenz chaotic system. The selection of switching surface and the design of control law is also discussed, which is an important issu...