Stabilizability of discrete chaotic systems via unified impulsive control

DOI10.1016/j.physleta.2009.10.065zbMath1235.70138OpenAlexW2025868435MaRDI QIDQ763816

Honglei Xu, Kok Lay Teo

Publication date: 2 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11937/24260

zbMATH Keywords

stability analysisnonlinear dynamicschaotic systemsimpulsive control

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Stability of solutions to ordinary differential equations (34D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05) Impulsive optimal control problems (49N25) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (12)

Robust Exponential Stability of Discrete-Time Delay Impulsive Systems with Parametric Uncertainties ⋮ Unnamed Item ⋮ Stabilization of a discrete-time system via nonlinear impulsive control ⋮ Set-stabilization of discrete chaotic systems via impulsive control ⋮ Asymptotic stability of a genetic network under impulsive control ⋮ Discrete-time chaotic systems synchronization based on vector norms approach ⋮ Impulsive consensus problem of second-order multi-agent systems with switching topologies ⋮ Exponential stability analysis for discrete-time impulsive delay neural networks with and without uncertainty ⋮ Stability of impulsive piecewise linear systems ⋮ Exponential stability of impulsive discrete systems with time delays ⋮ Impulsive generalized synchronization for a class of nonlinear discrete chaotic systems ⋮ A Lie algebraic condition for exponential stability of discrete hybrid systems and application to hybrid synchronization

Cites Work

• Unnamed Item
• Impulsive control of a class of vibro-impact systems
• An exploration of the Hénon quadratic map
• Impulsive control of Lorenz system
• Chaotic synchronization and controlling chaos based on contraction mappings
• Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch
• Impulsively synchronizing chaotic systems with delay and applications to secure communication
• IMPULSIVE CONTROL OF CHAOTIC SYSTEM
• Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks
• Uniform stability of discrete impulsive systems
• Impulsive control for the stabilization and synchronization of Lorenz systems
• Impulsive control theory

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