## Abstract This paper deals with the class of continuousβtime singular linear systems with timeβdelay in the state vector. The stabilization problem of this class of systems using a state feedback controller is tackled. New delayβdependent sufficient conditions on βοΈ~β~ stabilization are developed
Stability Criterion for Linear Systems with Nonlinear Delayed Perturbations
β Scribed by Chunhai Hou; Furong Gao; Jixin Qian
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 74 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The proportional parallel distributed compensation (PPDC) approach is utilized to stabilize timedelay systems modeled by Takagi-Sugeno fuzzy models in this article. Based on the Lyapunov stability analysis, stability conditions concerning asymptotical stability of time-delay systems are established.
In this paper, an easy-to-check exponential stability criterion for a class of uncertain retarded systems with multiple time-varying delays is proposed. An estimate of the convergence rate is also derived. Furthermore, a numerical example is given to illustrate our main results.
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 β£-stability and another is for delay-independent asymptotic stability. Ea