Homogeneous piecewise polynomial Lyapunov function for robust stability of uncertain piecewise linear system
Journal Article
·
· AIP Conference Proceedings
- Institut superieur d'informatique et multimedia de Sfax BP 242-3021 (Tunisia)
- Faculty of Sciences of Sfax, BP 802-3018 Sfax (Tunisia)
- Institut preparatoire aux etudes d'ingenieurs de Sfax BP 1172-3018 (Tunisia)
In this paper we present some sufficient conditions for the robust stability and stabilization of time invariant uncertain piecewise linear system using homogenous piecewise polynomial Lyapunov function. The proposed conditions are given in terms of linear matrix inequalities which can be numerically solved. An application of the obtained result is given. It consists in resolving the stabilization of piecewise uncertain linear control systems by using a state piecewise linear feedback.
- OSTI ID:
- 21293324
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1107; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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