An improved delay-dependent stability criterion for linear uncertain systems with multiple time-varying delays

2013 ◽  
Vol 87 (4) ◽  
pp. 861-873 ◽  
Author(s):  
Fucheng Liao ◽  
Jiang Wu ◽  
Masayoshi Tomizuka
Keyword(s):  
Stability Criterion ◽  
Uncertain Systems ◽  
Multiple Time ◽  
Time Varying ◽  
Delay Dependent ◽  
Delay Dependent Stability

The Improved Method of Delay-Dependent Stability Criterion for Uncertain Systems with Multiple Time-Varying Delays

2014 ◽  
Vol 651-653 ◽  
pp. 2398-2401
Author(s):  
Hong Su ◽  
Zhao Di Xu ◽  
Ting Ting Wang
Keyword(s):  
Uncertain Systems ◽  
Uncertain System ◽  
Multiple Time ◽  
Time Varying ◽  
Improved Method ◽  
Numerical Examples ◽  
Delay Dependent ◽  
New Criterion ◽  
Delay Dependent Stability ◽  
Novel Design

This paper discusses problems of linear uncertain system with multiple time-varying delays. Through the application of a novel design by own lemma and augmented Lyapunov function, a less conservative results than the existing essay that have been obtained. The new criterion enlarges the existing maximum bound of the time delay. Numerical examples were given to demonstrate the effective of the result.

scholarly journals Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Tiejun Li ◽  
Junkang Tian
Keyword(s):  
Stability Criterion ◽  
Convex Polyhedron ◽  
Linear Matrix ◽  
Continuous Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Polyhedron Method ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained stability criterion is less conservative than some existing ones. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

scholarly journals A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Jun-kang Tian ◽  
Yan-min Liu
Keyword(s):  
Linear Matrix Inequalities ◽  
Stability Criterion ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Numerical Examples ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
New Inequalities

This paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. The effectiveness of the presented criterion is demonstrated by two numerical examples.

New Delay-Dependent Robust Stability Criterion for Uncertain Stochastic Systems with Time-Varying Delays

2012 ◽  
Vol 461 ◽  
pp. 633-636
Author(s):  
Cheng Wang
Keyword(s):  
Robust Stability ◽  
Stability Criterion ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Weighting Matrix ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

The problem of delay-dependent robust stability of uncertain stochastic systems with time-varying delay is discussed in this paper. Based on the Lyapunov-Krasovskii theory and free-weighting matrix technique, new delay-dependent stability criterion is presented. The criterion is in terms of linear matrix inequality (LMI) which can be solved by various available algorithms.

Delay-Dependent Stability Analysis of Network-Based Load Frequency Control of One and Two Area Power System with Time-Varying Delays

2019 ◽  
Vol 18 (03) ◽  
pp. 1950007 ◽  
Author(s):  
S. Manikandan ◽  
Priyanka Kokil
Keyword(s):  
Time Delay ◽  
Stability Criterion ◽  
Frequency Control ◽  
Load Frequency Control ◽  
Time Varying ◽  
Control Center ◽  
Load Frequency ◽  
Plant Site ◽  
Delay Dependent ◽  
Delay Dependent Stability

Network-based load frequency control (LFC) requires data transmission from the plant site to the control center and control center to the plant site. Communication delays resulting from an open communication network impart time-varying nature to network delay. This time-varying delay may debase the dynamic performance or instability of the LFC systems. Stability of the LFC system is investigated by Lyapunov–Krasovskii functional (LKF) analysis and linear matrix inequalities (LMIs) techniques. In this paper, a less conservative delay-dependent stability criterion is derived for the time-delay system by proper constructing of LKF and imposing tighter bounding of integral terms on time-derivative of LKF. Delay margin is obtained by solving proposed stability criterion for a time-delay LFC system equipped with a proportional-integral controller. The adequacy of the proposed result is confirmed using simulation studies.

On Delay-Dependent Stability and Decay Estimate for Uncertain Systems with Time-Varying Delay

Automatica ◽  
1998 ◽  
Vol 34 (8) ◽  
pp. 1035-1039 ◽  
Author(s):  
Yongru Gu ◽  
Shouchen Wang ◽  
Qiqiang Li ◽  
Zhengqun Cheng ◽  
Jixin Qian
Keyword(s):  
Uncertain Systems ◽  
Decay Estimate ◽  
Time Varying ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay
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