A survey of linear matrix inequality techniques in stability analysis of delay systems

S Xu, J Lam - International Journal of Systems Science, 2008 - Taylor & Francis
… stability conditions in the form of linear matrix inequalities. The purpose of this article is to …
the asymptotic stability of time-delay systems. Both delay-independent and delay-dependent …

On input-to-state stability of systems with time-delay: A matrix inequalities approach

E Fridman, M Dambrine, N Yeganefar - Automatica, 2008 - Elsevier
Nonlinear matrix inequalities (NLMIs) approach, which is known to be efficient for stability
and L 2 -gain analysis, is extended to input-to-state stability (ISS). We first obtain sufficient …

H-Controllers for Time-Delay Systems Using Linear Matrix Inequalities

MS Mahmoud, M Zribi - Journal of Optimization Theory and Applications, 1999 - Springer
… with input as well as state delays. Both stability and Hi-norm … pure state feedback plus
delayed state feedback. Then, the … conveniently into a linear matrix inequality (LMI) framework, …

[图书][B] Stability and stabilization of linear and fuzzy time-delay systems: a linear matrix inequality approach

R Dey, G Ray, VE Balas - 2017 - books.google.com
… of linear time-delay system based on Lyapunov– Krasovskii (LK) functional approach in a
linear matrix inequality (LMI) framework. The proposed and existing delay-dependent stability …

A survey of inequality techniques for stability analysis of timedelay systems

J Chen, JH Park, S Xu, B Zhang - International Journal of …, 2022 - Wiley Online Library
time-delay systems. In order to obtain tractable stability conditions shown in the linear matrix
inequality form… This article first gives a survey of inequality techniques recently developed to …

An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay

CK Zhang, Y He, L Jiang, M Wu, QG Wang - Automatica, 2017 - Elsevier
… convex matrix inequality, which reduces the estimation gap of the RCCL-based matrix
inequality and reduces the number of decision variables of the recently proposed delay-…

Stability analysis of discrete-time neural networks with time-varying delay via an extended reciprocally convex matrix inequality

CK Zhang, Y He, L Jiang, QG Wang… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
… -time neural networks with an interval time-varying delay. An extended reciprocally convex
matrix inequalitymatrix inequality and Wirtinger-based summation inequality. Moreover, a …

H∞ control for buildings with time delay in control via linear matrix inequalities and genetic algorithms

H Du, N Zhang - Engineering Structures, 2008 - Elsevier
time delay exists. The design approach is formulated in terms of the feasibility of certain
delay-dependent matrix inequalities. … ) and the solvability of linear matrix inequalities (LMIs). The …

Free-matrix-based integral inequality for stability analysis of systems with time-varying delay

HB Zeng, Y He, M Wu, J She - IEEE Transactions on Automatic …, 2015 - ieeexplore.ieee.org
… It includes well-known integral inequalities as special … time-varying delays yields less
conservative delay-dependent stability criteria, which are given in terms of linear matrix inequalities

Application of linear matrix inequalities for load frequency control with communication delays

X Yu, K Tomsovic - IEEE transactions on power systems, 2004 - ieeexplore.ieee.org
… of communication signal delays and other problems … matrix inequalities. The primary aim
is to find a robust controller that can ensure good performance despite indeterminate delays