✦ LIBER ✦

Stability Criteria for Linear Time-Invariant Systems with Multiple Delays

✍ Scribed by Bugong Xu

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 85 KB
Volume: 252
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7114

No coin nor oath required. For personal study only.

✦ Synopsis

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 ␣-stability and another is for delay-independent asymptotic stability. Each of them has only one tuning parameter matrix P ) 0 as the Lyapunov-type stability criteria for the corresponding linear time-invariant systems without delays do. Both of the established stability criteria are given in the form of LMI problems and hence are very easy to use in applications. In addition, it is remarked that the established delay-independent asymptotic stability criterion with one tuning parameter matrix P ) 0 improves and simplifies the existing criterion with more than one tuning parameter matrix in the literature.

📜 SIMILAR VOLUMES

New delay-dependent stability criteria f

New delay-dependent stability criteria for descriptor systems with interval time delay

✍ Cuihong Wang 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 2 views

Time-delay systems: Stability and perfor

Time-delay systems: Stability and performance criteria with applications

✍ S. P. Banks 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 72 KB 👁 2 views

Exponential Stability Criterion for Unce

Exponential Stability Criterion for Uncertain Retarded Systems with Multiple Time-Varying Delays

✍ Yeong-Jeu Sun; Jer-Guang Hsieh; Yih-Chang Hsieh 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 193 KB

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.

Stability Conditions for a Class of Neut

Stability Conditions for a Class of Neutral Systems with Multiple Time Delays

✍ Chang-Hua Lien; Ker-Wei Yu; Jer-Guang Hsieh 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 76 KB

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.

Further Results on the Stability of Line

Further Results on the Stability of Linear Systems with Multiple Delays

✍ Bugong Xu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 93 KB

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 deri

Robust Stabilization for a Class of Unce

Robust Stabilization for a Class of Uncertain Systems with Multiple Time Delays via Linear Control

✍ Chang-Hua Lien; Jer-Guang Hsieh; Yeong-Jeu Sun 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 149 KB

In this paper, robust stabilization for a class of uncertain systems with multiple time delays is considered. A procedure of controller design for the global asymptotic stabilization of such systems via linear control is provided. A numerical example is given to illustrate our main result.