Nonlinear systems analysis (2nd ed.)
Nonlinear systems analysis (2nd ed.)
Considering the attractor structure of chaotic maps for observer-based synchronization problems
Mathematics and Computers in Simulation
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This paper considers global chaos synchronization as an observer design problem. Chaos generators are ascribed the form of piecewise linear maps, a particular class of discrete time hybrid systems. Sufficient conditions of global synchronization are formulated using a poly-quadratic stability concept. Such a concept is based on the use of parameter-dependent Lyapunov functions to check stability and leads to a reduction of the restricitions relative to conditions involving a unique Lyapunov function.