New finite-time stability conditions of linear switched singular systems with finite-time unstable subsystems
Authors:
- 19 May 2019
- journal article
- research article
- Published by Taylor & Francis in International Journal of General Systems
- Vol. 48 (7) , 792-810
Abstract
This paper addresses the finite-time stability problem of linear switched singular systems with finite-time unstable subsystems. Dynamic decomposition techniques are used to transform such systems into equivalent one that is a reduced-order switched normal systems. Based on the mode-dependent average dwell time (MDADT) switching signal, new sufficient conditions are presented to guarantee the linear switched singular systems with finite-time unstable subsystems being finite-time stability, finite-time bounded and finite-time stabilization. Finally, a numerical example is employed to verify the efficiency of the preceding method.Keywords
Funding Information
- National Natural Science Foundation of China (61873245, 11401540, 11571322)
- Foundation of Henan Educational Committee, China (17A110031)
This publication has 29 references indexed in Scilit:
- Finite-time stability of switched nonlinear systems with finite-time unstable subsystemsJournal of the Franklin Institute, 2015
- New Results on Output Feedback $H_{\infty} $ Control for Linear Discrete-Time SystemsIEEE Transactions on Automatic Control, 2013
- Stability analysis of switched linear singular systemsAutomatica, 2013
- Robust stabilization of switched positive linear systems with uncertaintiesInternational Journal of Control, Automation, and Systems, 2013
- Finite-time stability of linear time-varying systems with jumpsAutomatica, 2009
- Finite-time stability of linear time-varying singular systems with impulsive effectsInternational Journal of Control, 2008
- ExponentialH∞filtering for switched linear systems with interval time‐varying delayInternational Journal of Robust and Nonlinear Control, 2008
- Finite time stability and stabilization of a class of continuous systemsJournal of Mathematical Analysis and Applications, 2006
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systemsIEEE Transactions on Automatic Control, 1998
- A survey of linear singular systemsCircuits, Systems, and Signal Processing, 1986