This paper concerns the problem of the delay-dependent robust stability of neutral systems with mixed delays and time-varying structured uncertainties. A new method based on linear matrix inequalities is presented that makes it easy to calculate both the upper stability bounds on the delays and the
Stability criteria for linear systems with uncertain delays
โ Scribed by Bugong Xu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 152 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
New delay-independent and delay-dependent stability criteria for linear systems with multiple uncertain delays are established by using both the time-domain and the frequency-domain methods. The results are derived based on the established new preliminary lemmas and by using new-type stability theorems for general retarded dynamical systems and new analysis techniques in the time-domain and the frequency-domain. All the established stability criteria depend only on the eigenvalues related to the coefficient matrices of the systems and do not involve any free tuning parameters. In addition, some remarks are given to explain in detail the obtained results and to point out the limitations of the existing results in the literature.
๐ SIMILAR VOLUMES
Two new asymptotic stability criteria for linear time-invariant systems with multiple delays are established by using a quadratic inequality lemma together with frequency-domain techniques. One criterion is for delay-dependent โฃ-stability and another is for delay-independent asymptotic stability. Ea
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