In this paper we use the parameter-dependent Lyapunov function framework developed by Haddad and Bernstein to address the problem of robust stabilization for systems with parametric uncertainty and system delay. The principal result involves the construction of a modified Riccati equation for charac
Robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties
โ Scribed by Cheng-Yi Chen; Chien-Hua Lee
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 528 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0959-1524
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โฆ Synopsis
This paper addresses the problem of stability analysis for homogeneous large-scale uncertain bilinear time-delay systems subjected to constrained inputs. Both nonlinear uncertainties and interval systems are discussed. Several delay-independent criteria are presented to guarantee the asymptotic stability of the overall systems. The main feature of the presented criteria is that although the Lyapunov stability theorem is used, they do not involve any Lyapunov equations that may be unsolvable. Three illustrative numerical examples are presented to verify the effectiveness of the proposed stability criteria.
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