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Asymptotic behaviour of nonautonomous difference inclusions. (English) Zbl 0902.93043
Summary: Nonautonomous difference inclusions are formulated as difference inclusion cocycles, which generalize set-valued semigroups corresponding to autonomous difference inclusions, and the existence of a difference inclusion cocycle attractor is established under the assumption of upper semi-continuity of the cocycle mappings if the difference inclusion cocycle has an absorbing set. Several illustrative examples are provided.
MSC:
93C99Control systems, guided systems
34A60Differential inclusions
93C55Discrete-time control systems