The optimal control of Chen chaotic dynamical system.

DOI10.1016/S0096-3003(01)00137-0zbMath1042.49002OpenAlexW2088207812MaRDI QIDQ1855777

M. T. Yassen

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00137-0

zbMATH Keywords

stabilityoptimal controlequilibrium pointsasymptotic stabilityLorenz systemchaotic systemRossler system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (10)

A numerical scheme for solutions of the Chen system ⋮ Hybrid chaos control of continuous unified chaotic systems using discrete rippling sliding mode control ⋮ Attractivity of unstable equilibria for a controlled Chen system via small output feedback ⋮ Bursting phenomena as well as the bifurcation mechanism in controlled Lorenz oscillator with two time scales ⋮ Comparing numerical methods for the solutions of the Chen system ⋮ Controllability and stability of the perturbed Chen chaotic dynamical system ⋮ Application of multistage homotopy-perturbation method for the solutions of the Chen system ⋮ Adaptive variable structure control for chaos suppression of unified chaotic systems ⋮ Adaptive chattering-free sliding mode control of chaotic systems with unknown input nonlinearity via smooth hyperbolic tangent function ⋮ Robust synchronization of a class of uncertain chaotic systems based on quadratic optimal theory and adaptive strategy

Cites Work

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• Synchronization of two Lorenz systems using active control.
• Synchronization of Rössler and Chen chaotic dynamical systems using active control
• YET ANOTHER CHAOTIC ATTRACTOR
• Adaptive control and synchronization of Lorenz systems.
• Optimal control and synchronization of Lotka-Volterra model

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