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New stability and stabilization for switched neutral control systems

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  • Xiong, Lianglin
  • Zhong, Shouming
  • Ye, Mao
  • Wu, Shiliang

Abstract

This paper concerns stability and stabilization issues for switched neutral systems and presents new classes of piecewise Lyapunov functionals and multiple Lyapunov functionals, based on which, two new switching rules are introduced to stabilize the neutral systems. One switching rule is designed from the solution of the so-called Lyapunov–Metzler linear matrix inequalities. The other is based on the determination of average dwell time computed from a new class of linear matrix inequalities (LMIs). And then, state-feedback control is derived for the switched neutral control system mainly based on the state switching rules. Finally, three examples are given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1800-1811
    DOI: 10.1016/j.chaos.2009.03.093
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    References listed on IDEAS

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    1. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "Novel robust stability criteria of uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 771-777.
    2. J. D. Chen, 2007. "Robust H ∞ Output Dynamic Observer-Based Control Design of Uncertain Neutral Systems," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 193-211, January.
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    5. Park, Ju H., 2002. "Stability criterion for neutral differential systems with mixed multiple time-varying delay arguments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(5), pages 401-412.
    6. Park, Ju H. & Kwon, O., 2005. "Controlling uncertain neutral dynamic systems with delay in control input," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 805-812.
    7. Chen, Jenq-Der, 2007. "Robust output observer-based control of neutral uncertain systems with discrete and distributed time delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1254-1264.
    8. Chen, Jenq-Der, 2007. "Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays: LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 595-606.
    9. Tian, Junkang & Xiong, Lianglin & Liu, Jianxing & Xie, Xiangjun, 2009. "Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1858-1866.
    10. Liu, Xinzhi & Teo, Kok-Lay & Zhang, Hongtao & Chen, Guanrong, 2006. "Switching control of linear systems for generating chaos," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 725-733.
    11. Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Stability criteria for uncertain neutral systems with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 650-657.
    12. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "New robust stability condition for uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1073-1079.
    13. Chen, Jenq-Der, 2007. "Robust H∞ output dynamic observer-based control of uncertain time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 391-403.
    14. Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
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