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Reachability and observability of switched linear systems with continuous-time and discrete-time subsystems

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Abstract

In this paper, the reachability and observability criteria of switched linear systems with continuous-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.

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Authors and Affiliations

  1. College of Electrical & Information Engineering, Chongqing University of Science & Technology, Chongqing, 400044, China

    Chao Liu

  2. College of Computer, Chongqing University, Chongqing, 400044, China

    Chuandong Li

Authors
  1. Chao Liu
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  2. Chuandong Li
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Correspondence to Chuandong Li.

Additional information

Recommended by Editorial Board member Kyongsu Yi under the direction of Editor Zengqi Sun.

Chao Liu is studying for Ph.D. degree for Computer Science and Technology at Chongqing University in China. His current research interest includes impulsive systems, switched systems and neural networks.

Chuandong Li received his B.S. degree in Applied Mathematics from Sichuan University, Chengdu, China in 1992, and an M.S. degree in operational research and control theory and a Ph.D. degree in Computer Software and Theory from Chongqing University, Chongqing, China, in 2001 and in 2005, respectively. He has been a Professor at the College of Computer Science, Chongqing University, Chongqing 400044, China, since 2007. His current research interest covers computational intelligence, neural networks, memristive systems, chaos control and synchronization, and impulsive dynamical systems.

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Liu, C., Li, C. Reachability and observability of switched linear systems with continuous-time and discrete-time subsystems. Int. J. Control Autom. Syst. 11, 200–205 (2013). https://doi.org/10.1007/s12555-011-0169-4

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  • DOI: https://doi.org/10.1007/s12555-011-0169-4

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