|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.
Observability, reachability, switched linear system, switching sequence.
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