Contraction theory based adaptive synchronization of chaotic systems

DOI10.1016/J.CHAOS.2008.09.031zbMath1198.93197OpenAlexW2084576597MaRDI QIDQ602584

B. B. Sharma, Indra Narayan Kar

Publication date: 5 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.09.031

Mathematics Subject Classification ID

Adaptive or robust stabilization (93D21) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (7)

Unknown input nonlinear observer design for continuous and discrete time systems with input recovery scheme ⋮ Synchronization of Lurie system based on contraction analysis ⋮ Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique ⋮ Chaotic synchronization in a small network of a class of power systems via contraction analysis ⋮ Adaptive single input sliding mode control for hybrid-synchronization of uncertain hyperchaotic Lu systems ⋮ Novel adaptive feedback synchronization scheme for a class of chaotic systems with and without parametric uncertainty ⋮ Uncertain master-slave synchronization with implicit minimum saturation level

Cites Work

• Unnamed Item
• Periodic entrainment of chaotic logistic map dynamics
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• On contraction analysis for non-linear systems
• Controlling and synchronizing chaotic Genesio system via nonlinear feedback control.
• Synchronization of chaotic systems via nonlinear control
• Feedback and adaptive control for the synchronization of Chen system via a single variable
• Linearly coupled synchronization of the unified chaotic systems and the Lorenz systems
• Adaptive feedback synchronization of a unified chaotic system
• Adaptive control for anti-synchronization of Chua's chaotic system
• Controlling chaos and synchronization for new chaotic system using linear feedback control
• Nonlinear performance of a PI controlled missile: an explanation
• Controlling chaos
• An observer-based approach for chaotic synchronization with applications to secure communications
• On robust chaos suppression in a class of nondriven oscillators: application to the Chua's circuit
• Taming chaos. II. Control
• Synchronization in chaotic systems
• A Lyapunov approach to incremental stability properties
• Generalized state-space observers for chaotic synchronization and secure communication
• Contraction analysis of non-linear distributed systems

This page was built for publication: Contraction theory based adaptive synchronization of chaotic systems