Results 11 to 20 of about 779 (136)
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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Exponential stability of impulsive delayed nonlinear hybrid differential systems [PDF]
Archives of Electrical Engineering, 2019 In recent years, with the rapid development of digital components, digital electronic computers, especially microprocessors, digital controllers have replaced analog controllers on many occasions.
Qianqian Jia, Chaoying Xia
doaj +1 more source
On Norm-Based Estimations for Domains of Attraction in Nonlinear Time-Delay Systems [PDF]
, 2020 For nonlinear time-delay systems, domains of attraction are rarely studied despite their importance for technological applications. The present paper provides methodological hints for the determination of an upper bound on the radius of attraction by ...
Gröll, Lutz +2 more
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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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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
wiley +1 more source
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
wiley +1 more source
Global exponential stability for coupled systems of neutral delay differential equations [PDF]
, 2014 In this paper, a novel class of neutral delay differential equations (NDDEs) is presented. By using the Razumikhin method and Kirchhoff's matrix tree theorem in graph theory, the global exponential stability for such NDDEs is investigated.
Feng, Junyan +3 more
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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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Power system modelling as stochastic functional hybrid differential‐algebraic equations
IET Smart Grid, Volume 5, Issue 5, Page 309-331, October 2022., 2022 Abstract This paper presents the software tools developed for the research project Advanced Modelling for Power System Analysis and Simulation (AMPSAS) funded by Science Foundation Ireland from 2016 to 2021. The main objective of AMPSAS was the development of novel analytical and computational tools to understand, efficiently design, and optimise ever ...
Federico Milano +7 more
wiley +1 more source
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 ′ ( t ) = A [ x ( t ) + ∫
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