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On controllability and observability of implicit systems. (English) Zbl 0699.93003
Summary: We apply differential inclusion techniques to investigate controllability and observability of descriptor systems. In particular we derive an analogue of rank condition for singular systems and prove duality of controllability and observability by trajectories without jumps.

MSC:
93B05 Controllability
93B07 Observability
34A99 General theory for ordinary differential equations
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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