Results 21 to 30 of about 120 (105)
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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IMA Journal of Mathematical Control and Information, 2020 Abstract This paper investigates the globally exponential stability of delayed switched systems via Razumikhin technique. According to mode-dependent dwell average time and multiple Lyapunov functions, new Razumikhin-type stability results are deduced.
Dihua Sun +5 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
IET Control Theory &Applications, Volume 16, Issue 14, Page 1383-1395, September 2022., 2022 Abstract This paper aims at the tracking control problem of the non‐strict‐feedback non‐linear systems with non‐constant unknown delays and full state constraints. A constrained exponential Lyapunov–Krasovskii function‐based fuzzy adaptive dynamic surface control (CELK‐FADSC) method is proposed.
Zhiyue Zhuang +5 more
wiley +1 more source
Robust fuzzy model predictive control for voltage regulation in islanded microgrids
IET Generation, Transmission &Distribution, Volume 16, Issue 5, Page 1013-1029, March 2022., 2022 Abstract An effective robust fuzzy model predictive control (RFMPC) method for secondary voltage control in islanded microgrids (μGs) is presented here. In contrast to the existing techniques, which require a detailed model of μG and an ideal communication network between μG central controller and primary local controllers, RFMPC is synthesized for a ...
Masood Mottaghizadeh +3 more
wiley +1 more source
Stability Analysis of Stochastic Nonlinear Systems With Delayed Impulses and Markovian Switching
IEEE Access, 2019 In this paper, we are concerned with the stability analysis of stochastic nonlinear systems with delayed impulses and Markovian switching. Different from the previous literature, the impulses in this paper depend on delays and the jumping parameters are ...
Haidan Li, Quanxin Zhu
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Generalised Lyapunov-Razumikhin techniques for scalar state-dependent delay differential equations
Discrete and Continuous Dynamical Systems - S, 2020 arXiv admin note: text overlap with arXiv:1507 ...
Magpantay, F. M. G., Humphries, A. R.
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New Results on Impulsive Functional Differential Equations with Infinite Delays
Abstract and Applied Analysis, 2013 We investigate the stability for a class of impulsive functional differential equations with infinite delays by using Lyapunov functions and Razumikhin-technique.
Jie Yang, Bing Xie
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Advances in Difference Equations, 2021 In this paper, we investigate a class of fractional-order gene regulatory networks with time-varying delays and structured uncertainties (UDFGRNs). First, we deduce the existence and uniqueness of the equilibrium for the UDFGRNs by using the contraction ...
Zhaohua Wu, Zhiming Wang, Tiejun Zhou
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Abstract and Applied Analysis, 2012 We consider the practical stability of impulsive differential equations with infinite delay in terms of two measures. New stability criteria are established by employing Lyapunov functions and Razumikhin technique.
Bo Wu, Jing Han, Xiushan Cai
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