Novel Criterion for Stability of Discrete-Time Systems in a State-Space Realization Utilizing Saturation Nonlinearities
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Date
2011
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Elsevier Science inc
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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. (C) 2011 Elsevier Inc. All rights reserved.
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Asymptotic stability, Digital filter, Finite word length effect, Lyapunov method, Nonlinear discrete-time system, Difference equation
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Volume
218
Issue
8
Start Page
4305
End Page
4311