A stability criterion for discrete nonlinear systems with time delayed feedback

A new criterion on the non-Lyapunov method of stability analysis is developed for a large class of discrete time nonlinear systems. The amenable class is broad and includes systems mainly encountered in practice, for example, all plants described by functions of Lipschitz class, linear, bilinear, and polynomial functions, etc. Unlike other publications on the stability of discrete nonlinear systems, the authors consider the output feedback with time delays, and the control law from a broader class of functions. The derived sufficient criterion is simple and easily applicable.<
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