Reducing conservatism of stability criteria for linear systems with time-varying delay using an improved triple-integral inequality

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125254 ◽

2020 ◽

Vol 380 ◽

pp. 125254 ◽

Author(s):

Bao-Lin Zhang ◽

Luhua Cheng ◽

Kejia Pan ◽

Xian-Ming Zhang

Keyword(s):

Linear Systems ◽

Integral Inequality ◽

Time Varying ◽

Stability Criteria ◽

Time Varying Delay ◽

Download Full-text

Further improvement in stability criteria for linear systems with interval time-varying delay

IET Control Theory and Applications ◽

10.1049/iet-cta.2012.0379 ◽

2013 ◽

Vol 7 (3) ◽

pp. 440-446 ◽

Author(s):

Fernando O. Souza

Keyword(s):

Linear Systems ◽

Time Varying ◽

Stability Criteria ◽

Interval Time ◽

Time Varying Delay ◽

Download Full-text

IMPROVED DELAY-RANGE-DEPENDENT STABILITY CRITERIA FOR DISCRETE-TIME LINEAR SYSTEMS WITH INTERVAL TIME-VARYING DELAY AND NONLINEAR PERTURBATIONS

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v93i3.12 ◽

2014 ◽

Vol 93 (3) ◽

Author(s):

C. Singkibud ◽

K. Mukdasai

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Time Varying ◽

Nonlinear Perturbations ◽

Stability Criteria ◽

Interval Time ◽

Time Varying Delay ◽

Varying Delay ◽

Download Full-text

Improved stability criteria for generalized neural networks with time-varying delay by auxiliary function-based integral inequality

Advances in Difference Equations ◽

10.1186/s13662-016-0922-3 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Zhi-Wen Chen ◽

Jun Yang ◽

Wen-Pin Luo

Keyword(s):

Neural Networks ◽

Integral Inequality ◽

Auxiliary Function ◽

Time Varying ◽

Stability Criteria ◽

Time Varying Delay ◽

Generalized Neural Networks ◽

Improved Stability ◽

Download Full-text

Stability analysis of linear systems with a time-varying delay via a new integral inequality

2017 11th Asian Control Conference (ASCC) ◽

10.1109/ascc.2017.8287284 ◽

2017 ◽

Author(s):

Yajuan Liu ◽

Ju H. Park ◽

H.Y. Jung ◽

S.M. Lee

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Integral Inequality ◽

Time Varying ◽

Time Varying Delay ◽

Download Full-text

On stability criteria for neural networks with time-varying delay using Wirtinger-based multiple integral inequality

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2015.08.024 ◽

2015 ◽

Vol 352 (12) ◽

pp. 5627-5645 ◽

Author(s):

Tae H. Lee ◽

Ju H. Park ◽

Myeong-Jin Park ◽

Oh-Min Kwon ◽

Ho-Youl Jung

Keyword(s):

Neural Networks ◽

Integral Inequality ◽

Multiple Integral ◽

Time Varying ◽

Stability Criteria ◽

Time Varying Delay ◽

Download Full-text

Stability Criteria for Uncertain Linear Systems with Time-Varying Delay

Advances in Neural Networks – ISNN 2013 - Lecture Notes in Computer Science ◽

10.1007/978-3-642-39065-4_15 ◽

2013 ◽

pp. 117-124

Author(s):

Huimin Liao ◽

Manchun Tan ◽

Shuping Xu

Keyword(s):

Linear Systems ◽

Time Varying ◽

Stability Criteria ◽

Time Varying Delay ◽

Uncertain Linear Systems ◽

Download Full-text

Improved delay-range-dependent stability criteria for continuous linear systems with time-varying delay

2013 25th Chinese Control and Decision Conference (CCDC) ◽

10.1109/ccdc.2013.6560917 ◽

2013 ◽

Author(s):

Tao Wang ◽

Ai-Guo Wu

Keyword(s):

Linear Systems ◽

Time Varying ◽

Continuous Linear ◽

Stability Criteria ◽

Time Varying Delay ◽

Download Full-text

Improved stability criteria for uncertain linear systems with interval time-varying delay

Journal of Systems Science and Complexity ◽

10.1007/s11424-013-1171-0 ◽

2013 ◽

Vol 26 (2) ◽

pp. 175-186 ◽

Author(s):

Min Zheng ◽

Wei Xiao ◽

Qinghai Chen

Keyword(s):

Linear Systems ◽

Time Varying ◽

Stability Criteria ◽

Interval Time ◽

Time Varying Delay ◽

Improved Stability ◽

Uncertain Linear Systems ◽

Download Full-text

Receptance-based robust stability criteria for second-order linear systems with time-varying delay and unstructured uncertainties

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2020.107191 ◽

2021 ◽

Vol 149 ◽

pp. 107191

Author(s):

Taniel S. Franklin ◽

José Mário Araújo ◽

Tito L.M. Santos

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Second Order ◽

Time Varying ◽

Stability Criteria ◽

Order Linear ◽

Time Varying Delay ◽

Download Full-text

New Criterion for Stability of Linear Systems with Interval Time-Varying Delay

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.651-653.2339 ◽

2014 ◽

Vol 651-653 ◽

pp. 2339-2342

Author(s):

Ting Ting Wang ◽

Zhao Di Xu ◽

Hong Su

Keyword(s):

Linear Systems ◽

Linear Matrix ◽

Time Varying ◽

Matrix Inequalities ◽

Stability Criteria ◽

Time Varying Delay ◽

Delay Dependent ◽

New Criterion ◽

Delay Dependent Stability ◽

This paper is concerned with the delay-dependent stability for linear systems. Through constructing a new augmented LKF and using a new integral inequality, the improved delay-dependent stability criteria are derived in terms of linear matrix inequalities, and it is established that the results have less conservativ`e than some existing stability conditions. Finally, numerical examples are given to illustrate the effectiveness of the proposed result.

Download Full-text