Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Local Stability and Stability Region of Discrete-Time Composite Systems
Mituhiko ARAKIToshio KATO
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1981 Volume 17 Issue 1 Pages 23-28

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Abstract
Discrete-time composite systems which consist of several subsystems interconnected with each other by gain-bounded time-varying nonlinear elements are treated. Each subsystem is assumed to contain one time-varying nonlinear element which satisfies a sector condition. A sufficient condition for asymptotic stability of such systems is given in terms of the pulse transfer functions of the subsystems. A method to construct a Lyapunov function and to calculate an estimate of the stability region is also given. The results are useful in a theoretical study of large-scale discrete-time systems.
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