A new technique provides robust stability analysis of delay systems with parameter uncertainty. Key Word~--Robustness; stability; delays; polynomials. ~mMotivated by dynamical system considerations, a number of new results on robust stability of perturbed polynomials have been recently obtained. In
Stability robustness analysis of linear systems with delayed perturbations
โ Scribed by Li Yu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 104 KB
- Volume
- 336
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
This paper focuses on the problem of robust stability analysis of systems with delayed time-varying perturbations. A necessary and su$cient condition for the robust quadratic stability is derived. Based on that, a convex optimization problem is formulated to "nd the bounds on allowable perturbations which maintain the stability of the perturbed system. These bounds are shown to be less conservative than the existing ones. Numerical examples are given to illustrate the results.
๐ SIMILAR VOLUMES
In this paper, the sufficient conditions of the robust stability and robust performance for both continuous-time and discrete-time systems with structured perturbations are obtained using the matrix measure based approach. Using the derived results along with the Lyapunov based approach, several res
The robust stability of uncertain linear systems with a single time-varying delay is investigated by employing a descriptor model transformation and a decomposition technique of the delay term matrix. The uncertainties under consideration are nonlinear perturbations and normbounded uncertainties, re