Robust chaos suppression for the family of nonlinear chaotic systems with noise perturbation

DOI10.1016/J.NA.2007.04.036zbMath1153.34336OpenAlexW2049084381MaRDI QIDQ928572

Teh-Lu Liao, Jun-Juh Yan, Yi-You Hou

Publication date: 18 June 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.04.036

zbMATH Keywords

linear matrix inequalityrobust chaos suppressionthe family of Rössler systems

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Ordinary differential equations and systems with randomness (34F05) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Optimal nonlinear observers for chaotic synchronization with message embedded ⋮ Synchronization of unified chaotic system by sliding mode/mixed \(H _{2}/H _{\infty }\) control ⋮ INTERPLAY BETWEEN CHAOS AND EXTERNAL NOISE IN AN EXTENDED SYSTEM: IMPROVED FORECASTING DUE TO INTRINSIC STOCHASTIC RESONANT PHENOMENA ⋮ Quadratic optimal synchronization of uncertain chaotic systems ⋮ Synchronisation of uncertain chaotic systems via fuzzy-regulated adaptive optimal control approach

Cites Work

• Unnamed Item
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• Lag synchronization of structurally nonequivalent chaotic systems with time delays
• Controlling chaotic Lu systems using impulsive control
• Dynamic modeling of chaos and turbulence
• Impulsive control and synchronization of Chua's oscillators
• Chaos synchronization of Lü dynamical system
• \(H_{\infty}\) controlling hyperchaos of the Rössler system with input nonlinearity
• On an optimal control design for Rössler system
• \(H_{\infty }\) non-fragile observer-based controls of dynamical systems via LMI optimization approach
• Adaptive robust PID controller design based on a sliding mode for uncertain chaotic systems
• Chaos control for the family of Rössler systems using feedback controllers
• Linear Matrix Inequalities in System and Control Theory
• Parametric absolute stability of Lur'e systems
• An observer-based approach for chaotic synchronization with applications to secure communications
• FUZZY CHAOS SYNCHRONIZATION VIA SAMPLED DRIVING SIGNALS

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