A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
Mathematics, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Watcharin Chartbupapan +2 more
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Delay-Dependent Exponential Stability of Neutral Stochastic Delay Systems [PDF]
IEEE Transactions on Automatic Control, 2009 This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed method.
Huang, L., Mao, X.
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Delay dependent stability of linear time-delay systems [PDF]
Theoretical and Applied Mechanics, 2013 This paper deals with the problem of delay dependent stability for both ordinary and large-scale time-delay systems. Some necessary and sufficient conditions for delay-dependent asymptotic stability of continuous and discrete linear time-delay ...
Stojanović Sreten B. +1 more
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Stability Analysis of Systems With Delay-Dependent Coefficients: An Overview
IEEE Access, 2018 This paper gives an overview of the stability analysis of systems with delay-dependent coefficients. Such systems are frequently encountered in various scientific and engineering applications.
Chi Jin +3 more
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Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems
Axioms, 2021 This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability,
Osman Tunç, Cemil Tunç, Yuanheng Wang
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Exponential stability of discrete‐time delayed neural networks with saturated impulsive control
IET Control Theory & Applications, 2021 This paper examines the problem of the locally exponentially stability for impulsive discrete‐time delayed neural networks (IDDNNs) with actuator saturation.
Zhilong He +3 more
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Stability Analysis of Time-Delay Systems via a Delay-Derivative-Partitioning Approach
IEEE Access, 2022 This paper is devoted to the study of delay-dependent stability of time-varying delay systems. A delay-derivative-partitioning approach is proposed. By constructing an augmented Lyapunov functional that contains two delay-product-dependent terms and ...
Wei Wang +3 more
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Delay-dependent stability conditions for fundamental characteristic functions
Archivum Mathematicum, 2023 The problem of stability of two quasi-polynomials \(f_1(z)=z^2+pe^{-z\tau}+q\) and \(f_2(z)=z^2+pze^{-z\tau}+q\) is comprehensively studied. A quasi-polynomial \(f(z)\) is defined to be stable if all its zeros have negative real parts. The functions \(f_1(z)\) and \(f_2(z)\) appear in the characteristic equations of linear differential delay equations \
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Delay-dependent stability analysis for discrete-time systems with time varying state delay [PDF]
Chemical Industry and Chemical Engineering Quarterly, 2011 The stability of discrete systems with time-varying delay is considered. Some sufficient delaydependent stability conditions are derived using an appropriate model transformation of the original system.
Stojanović Sreten B. +1 more
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Stability Analysis of a Class of Neural Networks with State-Dependent State Delay
Discrete Dynamics in Nature and Society, 2020 The differential equations with state-dependent delay are very important equations because they can describe some problems in the real world more accurately. Due to the complexity of state-dependent delay, it also brings challenges to the research.
Yue Chen, Jin-E Zhang
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