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On global asymptotic stability of 2-D discrete systems with state saturation. (English) Zbl 1223.93054

Summary: A criterion for the global asymptotic stability of 2-D discrete systems described by the Roesser model employing state saturation nonlinearities is presented. The criterion is a less restrictive version of an earlier criterion due to Liu and Michel.

MSC:

93C10 Nonlinear systems in control theory
93C55 Discrete-time control/observation systems
93C65 Discrete event control/observation systems
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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