Abstract
In this paper, the exponential stability of a class of nonlinear switched systems with time-varying disturbances is considered. A new piecewise time-varying Lyapunov functionals which are decreasing at switching times by construction are introduced to investigate exponential stability of switched delay systems, sufficient conditions expressed as linear matrix inequalities are obtained.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Morse, A.: Control using logic-based switching. LNCIS, vol. 222. Springer, London (1997)
Van Der Schaft, A., Schumacher, H.: An introduction to hybrid dynamical systems. LNCIS, vol. 251. Springer, London (2000)
Daafouz, J., Riedinger, P., Lung, C.: Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Trans. Automat. Contr. 47, 1883–1887 (2002)
Branicky, M.S.: Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Automat. Contr. 43(4), 475–482 (1998)
Peleties, P., Wicks, M., DeCarlo, R.: Switched controller synthesis for quadratic stabilization of a pair of unstable linear systems. European Journal of Control 4, 140–147 (1998)
Zhai, G., Hu, B., Yasuda, K., Michael, A.N.: Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. In: Proceeding of the American Control Conference, Chicago, Illinois, USA, pp. 200–204 (2000)
Peterson, I.R.: A stabilization algorithm for a class of uncertain linear system. Syst. Control Lett. 8(4), 351–357 (1987)
Li, X., Souza, C.E.: Criteria for robust stability and stabilization of uncertain linear system with state delay. Automatica 33, 1657–1662 (1997)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Liu, X., Zhong, S., Xiang, C. (2012). Exponential Stability of Nonlinear Switched Delay Systems. In: Huang, DS., Gan, Y., Gupta, P., Gromiha, M.M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2011. Lecture Notes in Computer Science(), vol 6839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25944-9_81
Download citation
DOI: https://doi.org/10.1007/978-3-642-25944-9_81
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25943-2
Online ISBN: 978-3-642-25944-9
eBook Packages: Computer ScienceComputer Science (R0)