Journal of Northeastern University(Natural Science) ›› 2021, Vol. 42 ›› Issue (6): 908-912.DOI: 10.12068/j.issn.1005-3026.2021.06.022

• Mathematics • Previous Articles    

Exponential Stability and L2-Gain Control of Nonlinear Pulse Switching Singular Systems

YANG Dong-mei, LI Zhi-han   

  1. School of Sciences, Northeastern University, Shenyang 110819, China.
  • Revised:2020-09-24 Accepted:2020-09-24 Published:2021-06-23
  • Contact: LI Zhi-han
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Abstract: Exponential stability and L2-gain control of singular nonlinear switching systems with pulses are studied. The pulse and nonlinear control are added to the system to make it of more practical significance. First, an effective design method of state feedback controller with L2-gain control is proposed by constructing the Lyapunov function, and the state feedback controller in the system is improved to make the closed-loop system exponentially stable. Secondly, by using the linear matrix inequality and the model dependent average dwell time method, the sufficient conditions for exponential stability and L2-gain performance are given. Finally, numerical examples and image simulation are given to illustrate the effectiveness of the theoretical results.

Key words: singular system; exponential stability; Lyapunov function; L2-gain; pulse; average dwell time

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