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Reachability and Observability of Switched Linear Systems with Continuous-Time and Discrete-Time Subsystems

Chao Liu and Chuandong Li*
International Journal of Control, Automation, and Systems, vol. 11, no. 1, pp.200-205, 2013

Abstract : In this paper, the reachability and observability criteria of switched linear systems with con-tinuous-time and discrete-time subsystems are obtained. These criteria show that the reachable set may not be a subspace in the state space, because of the existence of discrete-time subsystems. Therefore, the definition of span reachability is proposed. Moreover, we demonstrate that the reachable set is equivalent to subspace if the discrete-time subsystems are reversible. The subspace algorithms for span reachability and unobservability are provided. One example is introduced to illustrate the effectiveness of the proposed criteria.

Keyword : Observability, reachability, switched linear system, switching sequence.

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