Deterministic and Stochastic Time-Delay Systems

By El Kebir Boukas, Zikuan Liu. 2002

388 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a49441ce6eed601e434a6a952fda26b83c0a268f

How researchers see this paper

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

In Control and Systems Engineering

1. James Lam
2. Peng Shi
3. Shengyuan Xu
4. Huijun Gao
5. El Kebir Boukas
6. Qing-Long Han
7. Dong Yue
8. Ligang Wu

Citations in the corpus

• Technical Communique: A closed-form optimal control for linear systems with equal state and input delays (2005, neutral): “…books in the area as (Kolmanovskii & Shaikhet, 1996; Kolmanovskii & Myshkis, 1999; Malek-Zavarei & Jashmidi, 1987; Dion, Dugard, & Fliess, 1999; Boukas & Liu, 2002) note, discussing the maximum principle (Kharatashvili, 1967) or the dynamic programming method (Oguztoreli, 1966) for systems…”
• Probability‐dependent gain‐scheduled control for discrete stochastic delayed systems with randomly occurring nonlinearities (2013, neutral): “[3, 6, 11, 25, 26].”
• Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching (2005, background): “Recently, increasing attention has been devoted to the problems of robust stability and robust stabilization of the JLS with parameter uncertainty and time-delay; see [2], [3], [7], and the references therein.”
• Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps (2008, background): “On the other hand, some recent research in automatic control such as [7,10,17] has been devoted to stochastic differential equations with Markovian jumps.”
• Discrete-time systems with time-varying time delay: Stability and stabilizability (2006, methodology): “For more details on this subject we refer the reader to Boukas and Liu [ 1 ] and Boukas and Liu [4] and the references therein respectively for the continuous-time and discrete-time cases.”
• A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, background): “…Dugard and Verriest 1998; Su and Chu 1999; Hmamed 2000; Shi, Agarwal, Boukas, and Shue 2000; Wang and Unbehauen 2000; Liu 2001; Niculescu 2001a; Boukas and Liu 2002; Boukas, Liu, and Shi 2002; Fridman and Shaked 2002a; Xu, Lam, and Yang 2002; Xu, Van Dooren, Stefan, and Lam 2002; Lu, Ho, and…”
• Robust control of uncertain discrete-time Markovian jump systems with actuator saturation (2006, result): “Moreover, the results in Boukas and Liu (2002) and Daraoui et al. (2003) are difficult to apply for uncertain cases.”
• Stability of a class of linear switching systems with time delay (2006, result): “[19] X. Liu, X. Shen, and Y. Zhang, “Stability analysis of a class of hybrid dynamic systems,” Dyn.”
• On designing of sliding-mode control for stochastic jump systems (2006, background): “For some representative prior work on this general topic, we refer the reader to [4]–[6], [14]–[16], [20]–[22], and the references therein.”
• Time-delay systems: an overview of some recent advances and open problems (2003, background): “More generally, the stability and stabilization of di2erential equations with a stochastic delay were investigated by several authors (see, e.g., Boukas & Liu, 2002; Katz, 1998; Kolmanovskii & Nosov, 1986; Kolmanovskii & Shaikhet, 1996; Krtolica et al., 1991; Nilsson et al., 1998; Ray, 1994).”