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
Further Results on the Stability of Linear Systems with Multiple Delays
β Scribed by Bugong Xu
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 93 KB
- Volume
- 267
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper has two purposes. One is to establish new stability criteria for linear systems with multiple time-varying/constant delays, and the other is to point out the limitations of the author's previous results. The stability criteria, including delaydependent and delay-independent ones, are derived by using both time-domain and frequency-domain techniques. All of the established stability criteria are given in the form of linear matrix inequality problems, including only one tuning parameter matrix P > 0 β R nΓn .  2002 Elsevier Science (USA)
π SIMILAR VOLUMES
In this paper, practical stability properties of linear multivariable feedback systems with time-delays are studied. The control schemes considered are conventional feedback control and Smith Predictor control. Depending upon the known perturbation structures, tight conditions are given which guaran
## Abstract With communication signal delays, a power system control can actually excite sustained oscillations. This paper proposes a method to analyze the stability of such delayed systems and the like. The stability is estimated using delay margins. The main result is nicely based on a sufficien
In this paper, the global asymptotic stability of interval systems with multiple unknown time-varying delays is considered. Some criteria are derived to guarantee the global asymptotic stability of such systems. A numerical example is provided to illustrate the use of our main results.
## Abstract This paper presents a new model for linear timeβdelay systems with multiple delayed states where each delay contains finite number of successive components with different timeβvarying properties, referred to as __multipleβdelay system with successive timeβvarying delay components__ (MDS
In this paper, some delay-dependent and delay-independent stability criteria are proposed to guarantee global uniform asymptotic stability for a class of neutral systems with multiple time delays. Two numerical examples are given to illustrate our main results.