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In this paper, several examples as well as their numerical simulations are provided to show some possible failures of parameter identification based on the so-called adaptive synchronization techniques. These failures might arise not only when the synchronized orbit produced by the driving system is designed to be either some kind of equilibrium or to be(More)
This paper proposes a new digital communication scheme, which uses chaotic signals based on the adaptive synchronization and parameter identification technique of chaotic systems reported recently. Due to the multi signal character, this scheme combines the chaotic signal transmission with the MIMO channel technique in a wireless environment, which is(More)
—This paper investigates complete synchronization of unidirectionally and adaptively coupled systems with discrete and distributed time delays. Instead of the conventional hypothesis of a uniform Lipschitz condition on the system's vector fields, only a local Lipschitz condition is adopted. It is proved that the local complete synchronization can be(More)
We articulate an adaptive and reference-free framework based on the principle of random switching to detect and control unstable steady states in high-dimensional nonlinear dynamical systems, without requiring any a priori information about the system or about the target steady state. Starting from an arbitrary initial condition, a proper control signal(More)