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Globally exponential stability and stabilization of interconnected Markovian jump system with mode-dependent delays

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  • Zhaohui Chen
  • Qi Huang

Abstract

This paper focuses on the problems of globally exponential stability and stabilization with H∞ performance for a class of interconnected Markovian jump system with mode-dependent delays in interconnection. By constructing a Lyapunov-Krasovskii functional, delay-range-dependent globally mean-square exponential stability conditions are established in terms of linear matrix inequalities. Based on the obtained conditions, state feedback control utilizing global state information and state feedback control utilizing global state information of decentralised observers are developed to render the closed-loop interconnected Markovian jump time-delay system globally exponential stable with H∞ performance. Numerical simulation of a power system, composed of three coupled machines, is used to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Zhaohui Chen & Qi Huang, 2016. "Globally exponential stability and stabilization of interconnected Markovian jump system with mode-dependent delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 14-31, January.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:14-31
    DOI: 10.1080/00207721.2015.1018377
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    1. Georgios P. Kladis, 2014. "Stabilisation and Tracking for Swarm-Based UAV Missions Subject to Time-Delay," Springer Optimization and Its Applications, in: Nicholas J. Daras (ed.), Applications of Mathematics and Informatics in Science and Engineering, edition 127, pages 265-288, Springer.
    2. Chun-Xia Dou & Zhi-Sheng Duan & Xing-Bei Jia, 2013. "Delay-dependent H robust control for large power systems based on two-level hierarchical decentralised coordinated control structure," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 329-345.
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    Cited by:

    1. Hongqian Lu & Chaoqun Guo & Yue Hu & Wuneng Zhou, 2019. "Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities," Complexity, Hindawi, vol. 2019, pages 1-16, October.

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