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

By Chang-Hua Lien, Ker-Wei Yu, J. Hsieh. 2000

126 citations recorded by the source corpus.

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.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/f6eed4bf785aeecda03b0963398537045352c905

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. James Lam
2. Shengyuan Xu
3. Emilia M. Fridman
4. Min Wu
5. Xinge Liu
6. Ralph Robert Martin
7. Meilan Tang
8. Yong He

In Control and Systems Engineering

1. James Lam
2. Shengyuan Xu
3. Min Wu
4. Emilia M. Fridman
5. Huijun Gao
6. Uri Shaked
7. Yong He
8. Frédéric Gouaisbaut

In Public Health, Environmental and Occupational Health

1. Min Wu
2. Emilia M. Fridman
3. James Lam
4. Shengyuan Xu

Citations in the corpus

• A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, methodology): “These techniques were also used to derive delay-dependent results for various types of time-delay systems (see, e.g. Chen, Lien, Fan, and Cheng 2000; Lien, Yu, and Hsieh 2000; Lien 2001; Niculescu 2001b; Lien and Chen 2003; Chen and Liu 2005; Chen, Lam, and Xu 2006, and the references therein).”
• New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems (2001, methodology): “The stability condition of [9] is h16 0:3.”
• Stability analysis for neutral systems with mixed delays (2007, methodology): “The upper bounds on delays under which it is possible to guarantee the stability of this system using the methods in [13,1,2,9] are 1 = 2 = 0.”
• A descriptor system approach to H∞ control of linear time-delay systems (2002, background): “In the more general case of neutral type systems, where the delay appears in the state derivative and in the state, stability conditions based upon LMIs or Riccati equations have been obtained for both the delay-independent [28], [5] and the delay-dependent [29]–[31], [8] cases.”
• Stability of linear descriptor systems with delay: a Lyapunov-based approach (2002, methodology): “For information on the LMI approach to delay-independent and delay-dependent stability criteria for linear retarded and neutral type systems see [2,11,17,20,21,23,24,28].”