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Relative controllability of nonlinear systems with time varying delays in control. (English) Zbl 0558.93008
Using the measure of noncompactness of a set and Darbo’s fixed point theorem, sufficient conditions for relative controllability of nonlinear systems with time varying lumped multiple delays in control are established. This method is extended to perturbed nonlinear systems and to systems having implicit derivative. Finally, local relative controllability is also considered. The paper generalises the results of the reviewer [Automatica 12, 633-634 (1976; Zbl 0345.93014)] and C. Dacka [IEEE Trans. Autom. Control AC-27, 268-270 (1982; Zbl 0469.93021)].
Reviewer: J.Klamka

MSC:
93B05 Controllability
47H10 Fixed-point theorems
93C10 Nonlinear systems in control theory
93C99 Model systems in control theory
93B03 Attainable sets, reachability
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References:
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