⎯A novel framework for chaos and its impulsive control in Chua’s oscillator via time-delay feedback is presented. The exponential stability of impulsive control Chua’s oscillator via time-delay feedback is considered, and some novel conditions are obtained. Then a novel impulsive controller design procedure is proposed. Simulation experiments are provided to demonstrate the feasibility and effe...

Chaos synchronization in coupled chaotic oscillator systems with diffusive and gradient couplings forced by only one local feedback injection signal (boundary pinning control) is studied. By using eigenvalue analysis, we obtain controllable regions directly in control parameter space for different types of coupling links (including diagonal coupling and nondiagonal couplings). The effects of bo...

This research deals with the optimization of the control of chaos by means of evolutionary algorithms. The main aim of this work is to show that powerful optimizing tools like evolutionary algorithms can in reality be used for the optimization of deterministic chaos control. This work is aimed on an explanation of how to use evolutionary algorithms (EAs) and how to properly define the advanced ...

We demonstrate the control of chaos in a nonlinear circuit constructed from readily available electronic components. Control is achieved using recursive proportional feedback, which is applicable to chaotic dynamics in highly dissipative systems and can be implemented using experimental data in the absence of model equations. The application of recursive proportional feedback to a simple electr...

Transient chaos is a common phenomenon in nonlinear dynamics of many physical, biological, and engineering systems. In applications it is often desirable to maintain sustained chaos even in parameter regimes of transient chaos. We address how to sustain transient chaos in deterministic flows. We utilize a simple and practical method, based on extracting the fundamental dynamics from time series...

Chaos is a kind of nonlinear system response that has a dense set of unstable periodic orbits (UPOs) embedded in a chaotic attractor. The idea of the chaos control is to explore the UPO stabilization obtaining dynamical systems that may quickly react to some new situation, changing conditions and their response. The OGY (Ott-GrebogiYorke) method achieves system stabilization by using small pert...

An approach is proposed for making chaotic a given stable Takagi–Sugeno (TS) fuzzy system using state feedback control of arbitrarily small magnitude. The feedback controller chosen among several candidates is a simple sinusoidal function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, and satisfy the chaotic mec...

This paper presents some simple feedback control laws to study global stabilization and global synchronization for a special chaotic system described in the generalized Lorenz canonical form (GLCF) when s = 1 (which, for convenience, we call Shimizu–Morioka system, or simply SM system). For an arbitrarily given equilibrium point, a simple feedback controller is designed to globally, exponential...

In this paper, a periodic parametric perturbation was designed for controlling chaos and generating chaos (chaotification) from a three-dimensional autonomous system. When we added the small periodic parametric perturbations, the system became a non-autonomous system, which has abundant dynamics behavior. Periodic, chaotic and hyperchaos behaviors were identified by the Lyapunov exponents and b...

This paper presents a fuzzy controller to solve a master-slave chaos synchronization problem. At first, the method of traditional sliding mode control is considered, which utilizes the discontinuous sign function to make the system state reaching a sliding surface. Next, fuzzy rules are determined according to the Lyapunov theorem, and the fuzzy controller is designed for chaos synchronization....