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Structurally variable control of Lurie systems. (English) Zbl 1455.93020

Time-invariant Lurie control systems are considered. A linear sliding manifold is introduced, and the corresponding equivalent control together with the absolute stability in the sliding mode are characterised. Further results about finite-time reachability are provided. Examples are presented.

MSC:

93B12 Variable structure systems
93D20 Asymptotic stability in control theory
93B03 Attainable sets, reachability
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