New delay-dependent stability and stabilization of delayed systems with sector-bounded nonlinearity

2008 ◽  
Author(s):  
Xianbo Yan ◽  
Yijing Wang ◽  
Zhiqiang Zuo ◽  
Guoshan Zhang ◽  
Huimin Zhao
Keyword(s):  
Delayed Systems ◽  
Stability And Stabilization ◽  
Delay Dependent ◽  
Bounded Nonlinearity ◽  
Delay Dependent Stability

An Improved Delay-Dependent Stability Criterion for a Class of Lur’e Systems of Neutral Type

2011 ◽  
Vol 134 (1) ◽  
Author(s):  
K. Ramakrishnan ◽  
G. Ray
Keyword(s):  
Stability Analysis ◽  
Stability Criterion ◽  
Time Derivative ◽  
Neutral Type ◽  
Linear Matrix ◽  
Lur’E Systems ◽  
The Stability ◽  
Delay Dependent ◽  
Bounded Nonlinearity ◽  
Delay Dependent Stability

In this paper, we consider the problem of delay-dependent stability of a class of Lur’e systems of neutral type with time-varying delays and sector-bounded nonlinearity using Lyapunov–Krasovskii (LK) functional approach. By using a candidate LK functional in the stability analysis, a less conservative absolute stability criterion is derived in terms of linear matrix inequalities (LMIs). In addition to the LK functional, conservatism in the proposed stability analysis is further reduced by imposing tighter bounding on the time-derivative of the functional without neglecting any useful terms using minimal number of slack matrix variables. The proposed analysis, subsequently, yields a stability criterion in convex LMI framework, and is solved nonconservatively at boundary conditions using standard LMI solvers. The effectiveness of the proposed criterion is demonstrated through a standard numerical example and Chua’s circuit.

Delay-dependent stability and stabilisation of continuous 2D delayed systems with saturating control

2015 ◽  
Vol 47 (12) ◽  
pp. 3004-3015 ◽  
Author(s):  
Abdelaziz Hmamed ◽  
Said Kririm ◽  
Abdellah Benzaouia ◽  
Fernando Tadeo
Keyword(s):  
Delayed Systems ◽  
Delay Dependent ◽  
Saturating Control ◽  
Delay Dependent Stability

Delay-Dependent Stability Criteria for Time-Delayed Systems

2013 ◽  
Vol 313-314 ◽  
pp. 1184-1187
Author(s):  
Chang Hui Song
Keyword(s):  
Sufficient Conditions ◽  
Functional Method ◽  
Stability Conditions ◽  
Quadratic Term ◽  
Asymptotically Stable ◽  
Stability Criteria ◽  
Delayed Systems ◽  
Numerical Examples ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper drivesthe asymptotical stability conditions for a class of linear systems with time delay.First, aseries of integral inequalities based on quadratic term are formulated bycombining Leibniz-Newton formula. Next, basedon Lyapunov-Krasovskii functional method and linearmatrix inequality, the sufficient conditions of delay-dependent stability are derived toensure thelinear systemswith timedelay are asymptotically stable. Last,the results are illustrated by some numerical examples andthe delay bounds obtained in this paper are of less conservative.

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