Results 21 to 30 of about 243 (136)
Fractal and FractionalThis study investigated the stability of bipartite nonlinear fractional-order multi-agent systems (FOMASs) in the presence of false data injection attacks (FDIAs) in a hostile environment.
Hanen Louati +6 more
doaj +2 more sources
Lyapunov-Razumikhin techniques for state-dependent delay differential equations [PDF]
Journal of Differential Equations, 2021 We present Lyapunov stability and asymptotic stability theorems for steady state solutions of general state-dependent delay differential equations (DDEs) using Lyapunov-Razumikhin methods. Our results apply to DDEs with multiple discrete state-dependent delays, which may be nonautonomous for the Lyapunov stability result, but autonomous (or ...
A.R. Humphries, F.M.G. Magpantay
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Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov–Krasovskii and Lyapunov–Razumikhin techniques [PDF]
International Journal of Control, 2021 In this contribution, the estimates for the response of time delay systems with nonlinear homogeneous right-hand side of degree strictly greater than one are constructed. The existing results obtained via the Lyapunov--Razumikhin approach are reminded.
Gerson Portilla +3 more
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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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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
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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
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
Razumikhin technique for boundedness of the solutions of impulsive integrodifferential equations
Mathematical and Computer Modelling, 2001 The authors consider the problem of uniform boundedness of solutions of integrodifferential equations. The Razumikhin technique using piecewise continuous Lyapunov functions is applied. They obtain sufficient conditions significantly depending on the moments of impulses.
Hristova, S. G., Roberts, L. F.
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