In this note, new criteria for the global asymptotic stability and the global exponential stability of a class of uncertain time-lag systems with time-varying delays are proposed. A numerical example is given to illustrate our main results.
A note on absolute stability of uncertain systems
โ Scribed by Serkan T. Impram; Neil Munro
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 177 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
The absolute stability of nonlinear systems is an important robustness issue which has been studied intensively since its "rst formulation by Lur'e. Recently, extensions of the solutions to di!erent versions of this problem have been developed for cases with either structured or unstructured uncertainties in the linear part. In this note, the circle criterion and the Popov criterion are recast in an even more general setting; one which accommodates both types of perturbations in the linear plant. Numerical examples are provided to illustrate the application of these frequency domain tools.
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