This paper investigates the problem of stabilization of nonlinear systems submitted to a deterministic disturbance known by its bounds. The stabilization property is considered in terms of exponential decay of a Lyapunov-like function. As such systems cannot be stabilized by continuous state feedbac
On the stabilization of bilinear systems via constant feedback
โ Scribed by Rob Luesink; Henk Nijmeijer
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 917 KB
- Volume
- 122-124
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
We consider a linear system subject to Markovian jumps, with a time-varying, unknown-but-bounded transition probability matrix. We derive LMI conditions ensuring various second-moment stability properties for the system. The approach is then used to generate mode-dependent state-feedback control law
Ober die Stabilit/it von Systemen mit spezieller dynamischer Riickfiihrung 06 aHa.rlHae yCTOfiqHBOCTH CHCTeM C Hee~HHI, I~IHOfi o6paTHOfi CBaa1,IO npH HaYlHHHH ~IHaMI~IeCKOfi o6paTHOfi CBH:3H
In this paper sufficient conditions for the BIBO stability of discrete bilinear systems are developed. They are based on the choice of suitable bounds for the coefficients of the system. Application to some rational systems is also described.
The problem of robust stabilization of nonlinear systems with feedback linearizable nominal part and norm-bounded nonlinear uncertainties is investigated. Necessary and sufficient conditions are obtained for robust stabilization of such systems. A design procedure is developed which combines feedbac