Poly-quadratic stability and global chaos synchronization of discrete time hybrid systems

DOI10.1016/S0378-4754(01)00374-3zbMath0997.65139MaRDI QIDQ1602715

Jamal Daafouz, Gilles Millérioux

Publication date: 24 June 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

global stabilityhybrid observersparameter-dependent Lyapunov functionglobal chaos synchronizationpoly-quadratic stability

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (6)

A generalized stability theorem for discrete-time nonautonomous chaos system with applications ⋮ POLYTOPIC OBSERVER FOR GLOBAL SYNCHRONIZATION OF SYSTEMS WITH OUTPUT MEASURABLE NONLINEARITIES ⋮ UNKNOWN INPUT OBSERVERS FOR MESSAGE-EMBEDDED CHAOS SYNCHRONIZATION OF DISCRETE-TIME SYSTEMS ⋮ Considering the attractor structure of chaotic maps for observer-based synchronization problems ⋮ Sampled-data nonlinear observer design for chaos synchronization: a Lyapunov-based approach ⋮ Simultaneous sensor and actuator fault estimation for continuous-time polytopic LPV system

Cites Work

• Unnamed Item
• Unnamed Item
• A new discrete-time robust stability condition
• Linear Matrix Inequalities in System and Control Theory
• A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS
• Communication Systems via Chaotic Signals from a Reconstruction Viewpoint
• Finite-time global chaos synchronization for piecewise linear maps
• Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties

This page was built for publication: Poly-quadratic stability and global chaos synchronization of discrete time hybrid systems