Lyapunov Functional for Multiple Delay General Lurie Systems with Multiple Non-linearities

By Zuoxin Gan, Weigao Ge. 2001

49 citations recorded by the source corpus.

In this paper, the absolute stability problem of a multiple delay general Lurie control system with multiple non-linearities is considered. Necessary and sufficient conditions are obtained for the existence of the Lyapunov functional of extended Lurie form with negative definite derivative. From those conditions, a very general algebraic criterion for absolute stability is obtained, which extends the previous results. A concise example illustrates the effectiveness of the present results.

Subfields: Computer Networks and Communications, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/c862e8b687677e3b8f484da58748d2b9eed74d2f

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. Yong He
2. Min Wu
3. Guoping Liu
4. Jinhua She
5. James Lam
6. Hongbing Zeng
7. Qing-Long Han
8. Jin-Hoon Kim

In Modeling and Simulation

1. Min Wu
2. Jinhua She
3. Yong He
4. Guoping Liu

In Public Health, Environmental and Occupational Health

1. Min Wu
2. Jinhua She
3. Yong He
4. Guoping Liu

Citations in the corpus

• Robust stability for delay Lur'e control systems with multiple nonlinearities (2005, methodology): “Since time-delay is commonly encountered in various engineering systems and it is frequently a source of instability and so the stability problem of delay Lur’e control systems has been of interest to researchers over the past decades (see [16], [1], [6], [2], [9]).”