Exponential stability of nonlinear systems involving partial unmeasurable states via impulsive control
作者： Mingyue Li , Huanzhen Chen , Xiaodi Li
DOI: 10.1016/J.CHAOS.2020.110505
关键词:
摘要: Abstract This paper investigates the stability problem of partial unmeasurable nonlinear systems under impulsive control. Some sufficient conditions are given to guarantee exponential using transition matrix method coupled with dimension expansion technique, where possibility effects states is fully considered. In our proposed method, we not only allow have incomplete states, but also relax restrictions on measurable which has a wider range applications in practice. Finally, two illustrative examples presented, their numerical simulations, demonstrate effectiveness main results.
sci-hub.st 参考文章(29)
Xinzhi Liu, Kexue Zhang, Impulsive control for stabilisation of discrete delay systems and synchronisation of discrete delay dynamical networks Iet Control Theory and Applications. ,vol. 8, pp. 1185- 1195 ,(2014) , 10.1049/IET-CTA.2013.0806
Chuandong Li, Xiaofeng Liao, Xiaofan Yang, Tingwen Huang, Impulsive stabilization and synchronization of a class of chaotic delay systems. Chaos. ,vol. 15, pp. 043103- ,(2005) , 10.1063/1.2102107
Shreyas Sundaram, Christoforos N. Hadjicostis, Partial state observers for linear systems with unknown inputs Automatica. ,vol. 44, pp. 3126- 3132 ,(2008) , 10.1016/J.AUTOMATICA.2008.05.011
Xiaodi Li, Haydar Akca, Xillin Fu, Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions Applied Mathematics and Computation. ,vol. 219, pp. 7329- 7337 ,(2013) , 10.1016/J.AMC.2012.12.033
Tengfei Liu, Zhong-Ping Jiang, Event-based control of nonlinear systems with partial state and output feedback Automatica. ,vol. 53, pp. 10- 22 ,(2015) , 10.1016/J.AUTOMATICA.2014.12.027
Jianquan Lu, Daniel W.C. Ho, Jinde Cao, Brief paper: A unified synchronization criterion for impulsive dynamical networks Automatica. ,vol. 46, pp. 1215- 1221 ,(2010) , 10.1016/J.AUTOMATICA.2010.04.005
X. Li, D. O'Regan, H. Akca, Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays Ima Journal of Applied Mathematics. ,vol. 80, pp. 85- 99 ,(2015) , 10.1093/IMAMAT/HXT027
Jitao Sun, Yinping Zhang, Qidi Wu, Less conservative conditions for asymptotic stability of impulsive control systems IEEE Transactions on Automatic Control. ,vol. 48, pp. 829- 831 ,(2003) , 10.1109/TAC.2003.811262
Zhaojing Wu, Stability Criteria of Random Nonlinear Systems and Their Applications IEEE Transactions on Automatic Control. ,vol. 60, pp. 1038- 1049 ,(2015) , 10.1109/TAC.2014.2365684
Ramdane Tami, Gang Zheng, Driss Boutat, Didier Aubry, Haoping Wang, Partial observer normal form for nonlinear system Automatica. ,vol. 64, pp. 54- 62 ,(2016) , 10.1016/J.AUTOMATICA.2015.10.041