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Time-scale decomposition of the reachable set of constrained linear systems. (English) Zbl 0760.93032

Summary: We consider a linear control system with a multiparameter singular perturbation representing multiple time scales and with constraints for the control and the slow state. The Hausdorff limit of the reachable set when the small parameters tend to zero is found. The result provides a basis for a time-scale approximation of the reachable set.

MSC:

93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C73 Perturbations in control/observation systems
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