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Stability analysis of grey discrete-time systems. (English) Zbl 0664.93065

The stability of a discrete-time system is discussed whose state matrix is an interval matrix. In terms of Lyapunov stability theory, some sufficient conditions are obtained which guarantee the stability of grey discrete-time systems (or interval discrete-time systems). Illustrative examples are given.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
65G30 Interval and finite arithmetic
93C55 Discrete-time control/observation systems
93D20 Asymptotic stability in control theory
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