Periodic Stabilization of Continuous-Time Multi-Module Impulsive Switched Linear Systems

This paper mainly investigates periodic stabilization issue for a class of multi-module impulsive switched linear systems. It is proven that the considered system is exponentially stabilizable if there exists a periodic control Lyapunov function whose value decreases periodically rather than at each time instant. A Lyapunov converse theorem is also presented. In particular, a constructive method is used to determine stabilizable impulsive switching law. Moreover, the relaxed set is introduced to reduce the computational complexity, and relaxed versions of Lyapunov theorem and its converse theorem are established. Finally, a numerical example is provided to illustrate the effectiveness of the approach.

• Publication year

  2019

• Venue

  IEEE Access

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Computer Science, Engineering

• Identifiers
  DOI 10.1109/ACCESS.2019.2891344
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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