Results 11 to 20 of about 120 (105)
New results on the qualitative analysis of solutions of VIDEs by the Lyapunov–Razumikhin technique
Ukrains’kyi Matematychnyi Zhurnal, 2023 UDC 517.9 A new mathematical model described by a Volterra integro-differential equation (VIDE) with constant delay is examined. New agreeable conditions on the uniformly asymptotic stability, boundedness, and square integrability of solutions of the VIDE are obtained by using the Lyapunov–Razumikhin technique.
Osman Tunç, E. Korkmaz
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Sampled-data Control for a Class of Linear Hyperbolic Systems via the Lyapunov-Razumikhin Technique
2021 European Control Conference (ECC), 2021 This work investigates the stability for a class of linear hyperbolic systems with distributed sampled-data controllers. First, we convert the original system into an equivalent system in which the sampling induced error is modeled as a reset integrator. Then by means of an appropriate Lyapunov function coupled with the Razumikhin technique, sufficient
Wang, Xinyong +3 more
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IEEE Transactions on Automatic Control, 2023 In this paper, the authors apply the Razumikhin technique to investigate the stabilization of hybrid stochastic systems by feedback control based on discrete-time state observations, rather than the widely used comparison idea or Lyapunov functional method to this problem.
Xu, Henglei, Mao, Xuerong
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Practical Exponential Stability of Impulsive Stochastic Food Chain System with Time-Varying Delays
Mathematics, 2022 This paper studies the practical exponential stability of an impulsive stochastic food chain system with time-varying delays (ISOFCSs). By constructing an auxiliary system equivalent to the original system and comparison theorem, the existence of global ...
Yuxiao Zhao, Linshan Wang
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Design of Optimal Sliding Mode Control based on Linear Matrix Inequality for Fractional Time-Varying Delay Systems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2022 This paper considers an optimal sliding mode control based on the cost control guaranteed approach using the linear quadratic regulator method to stabilize delay fractional under involved disturbance. We propose an approach to an open research problem in
Mohammad Ghamgosar +2 more
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Control barrier functionals: Safety‐critical control for time delay systems
International Journal of Robust and Nonlinear Control, Volume 33, Issue 12, Page 7282-7309, August 2023., 2023 Abstarct This work presents a theoretical framework for the safety‐critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay‐free systems, is extended to systems with state delay.
Adam K. Kiss +3 more
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Uniform Asymptotic Stability Via Liapunov-Razumikhin Technique [PDF]
Proceedings of the American Mathematical Society, 1995 The Liapunov-Razumikhin technique is applied to obtain the uniform asymptotic stability for linear integrodifferential equations in Hilbert spaces, \[ x
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Practical Input‐to‐State Stability of Nonlinear Systems with Time Delay
Complexity, Volume 2023, Issue 1, 2023., 2023 An investigation of the input‐to‐state practical stability (ISpS) and the integral input‐to‐state practical stability (iISpS) of nonlinear systems with time delays (NSWTDs) is presented in this paper. The ISpS and iISpS of the systems are obtained by using a continuously differentiable Lyapunov–Krasovskii functional (LKF) within‐definite derivative ...
Abdellatif Ben Makhlouf +4 more
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Advances in Difference Equations, 2018 In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on the Lyapunov–Razumikhin method and impulsive control theory, we obtain some Razumikhin-type ...
Qiang Xi
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Fractal and Fractional, 2023 In this article, we consider the problem of resilient base containment control for fractional-order multi-agent systems (FOMASs) with mixed time delays using a reliable and simple approach, where the communication topology among followers is a weighted ...
Asad Khan +4 more
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