A convex approach to robust regional stability analysis of a class of nonlinear state-delayed systems subject to convex-bounded parameter uncertainty is proposed. Delay-dependent conditions are developed to ensure system robust local stability and obtain an estimate of a domain of attraction of the
A class of nonlinear time-delay systems and related optimal problems
โ Scribed by R.T. Yanushevsky
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 336 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
The method of synthesis for a class of time-delay nonlinear systems affine in control is considered. The proposed approach is based on the solution of a special optimal control problem. The integrand of the optimized functional is chosen in such a way that the Bellman equation has a desired solution. The nonlinear system design is reduced to the examination of the integrand of the optimized functional. To extend the domain of asymptotic stability of the nonlinear system, a sequence of the Lyapunov-Krasovskii functionals is used. The whole system becomes the system with variable structure. The proposed approach gives a systematic framework for an "almost sliding mode control". (~
๐ SIMILAR VOLUMES
This paper is concerned with the problem of absolute exponential stability analysis for a class of continuous-time systems with sector-bounded nonlinearities and interval timevarying delays. Absolute exponential stability criteria, which depend not only on the delay range but also on the decay rate,