Stability of 2-D discrete systems described by the Fornasini-Marchesini second model

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作者：
Hiroshima Univ, Higashi-Hiroshima, Japan [1 ]
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IEEE Trans Circuits Syst I Fundam Theor Appl | / 3卷 / 254-257期
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Asymptotic stability - Lyapunov methods - Mathematical models - Nonlinear control systems - Parameter estimation - Two term control systems;
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摘要：
Based on the Fornasini-Marchesini second local state-space (LSS) model, criteria that sufficiently guarantee the asymptotic stability of 2-D discrete systems are given. A sufficient condition for a 2-D nonlinear discrete system to be free of overflow oscillations is then shown in the case when a 2-D discrete system is employed by saturation arithmetic. Finally, an upper bound on parameter variations which guarantees the asymptotic stability of a perturbed 2-D discrete system is considered. It is shown that the upper bound stated in this brief is less conservative than the existing ones.
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