Stability Properties of Switched Nonlinear Delay Systems with Synchronous or Asynchronous Switching
作者： Yue-E Wang , Xi-Ming Sun , Wei Wang , Jun Zhao
DOI: 10.1002/ASJC.964
关键词:
摘要: This paper is concerned with the problem of input-to-state stability (ISS) for a class switched nonlinear delay systems. The cases where switching signal system and corresponding controller are synchronous asynchronous both considered. To study two signals in unified framework, we adopt technique merging signal. Based on piecewise Lyapunov–Krasovskii functional method, some sufficient conditions explicitly given to guarantee ISS under average dwell time scheme. Finally, numerical example presented demonstrate effectiveness proposed theory.
sci-hub.se 参考文章(35)
Jun Zhao, David J. Hill, On stability, L2-gain and H∞ control for switched systems Automatica. ,vol. 44, pp. 1220- 1232 ,(2008) , 10.1016/J.AUTOMATICA.2007.10.011
Lixian Zhang, Huijun Gao, Okyay Kaynak, Network-Induced Constraints in Networked Control Systems—A Survey IEEE Transactions on Industrial Informatics. ,vol. 9, pp. 403- 416 ,(2013) , 10.1109/TII.2012.2219540
Xi-Ming Sun, Wei Wang, Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics Automatica. ,vol. 48, pp. 2359- 2364 ,(2012) , 10.1016/J.AUTOMATICA.2012.06.056
P. Pepe, Z.-P. Jiang, A Lyapunov–Krasovskii methodology for ISS and iISS of time-delay systems Systems & Control Letters. ,vol. 55, pp. 1006- 1014 ,(2006) , 10.1016/J.SYSCONLE.2006.06.013
Rui Wang, Peng Shi, Zhi-Gang Wu, Ying-Tao Sun, None, Stabilization of switched delay systems with polytopic uncertainties under asynchronous switching Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 350, pp. 2028- 2043 ,(2013) , 10.1016/J.JFRANKLIN.2013.05.023
Ben Niu, Jun Zhao, Barrier Lyapunov functions for the output tracking control of constrained nonlinear switched systems Systems & Control Letters. ,vol. 62, pp. 963- 971 ,(2013) , 10.1016/J.SYSCONLE.2013.07.003
J. F. Márquez-Rubio, B. del Muro-Cuéllar, M. Velasco-Villa, J. Álvarez-Ramírez, Stabilization strategy for unstable first order linear systems with large time-delay† Asian Journal of Control. ,vol. 14, pp. 1171- 1179 ,(2012) , 10.1002/ASJC.415
Zhengrong Xiang, Changyu Liang, Qingwei Chen, Robust L2–L∞ filtering for switched systems under asynchronous switching Communications in Nonlinear Science and Numerical Simulation. ,vol. 16, pp. 3303- 3318 ,(2011) , 10.1016/J.CNSNS.2010.10.029
Yue-E Wang, Xi-Ming Sun, Peng Shi, Jun Zhao, Input-to-State Stability of Switched Nonlinear Systems With Time Delays Under Asynchronous Switching IEEE Transactions on Systems, Man, and Cybernetics. ,vol. 43, pp. 2261- 2265 ,(2013) , 10.1109/TCYB.2013.2240679
Hongjiu Yang, Peng Shi, Jinhui Zhang, Jiqing Qiu, Robust H∞ filtering for a class of Markovian jump systems with time‐varying delays based on delta operator approach Asian Journal of Control. ,vol. 13, pp. 398- 407 ,(2011) , 10.1002/ASJC.322