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Novel criterion for stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities
Authors:Vimal Singh
Institution:Department of Electrical-Electronics Engineering, Atilim University, Ankara 06836, Turkey
Abstract:A new criterion for the global asymptotic stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities is presented. The form of the criterion is unconventional in that it offers the flexibility of using even an unsymmetric Lyapunov matrix P. A recently reported criterion is shown to be a special case of the present criterion. An example shows the effectiveness of the new criterion.
Keywords:Asymptotic stability  Digital filter  Finite word length effect  Lyapunov method  Nonlinear discrete-time system  Difference equation
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