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Finite-Time Stability Analysis: A Tutorial Survey [PDF]
Complexity, 2020 In the past decades, there has been a growing research interest in the field of finite-time stability and stabilization. This paper aims to provide a self-contained tutorial review in the field.
Honglei Xu
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Finite Time Stability of Stochastic Hybrid Systems [PDF]
Abstract and Applied Analysis, 2014 This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems.
Ying Yang, Guopei Chen
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Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay [PDF]
Entropy, 2022 The main concern of this paper is finite-time stability (FTS) for uncertain discrete-time stochastic nonlinear systems (DSNSs) with time-varying delay (TVD) and multiplicative noise.
Xikui Liu +3 more
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Finite-Time Stability Under Denial of Service [PDF]
IEEE Systems Journal, 2021 Finite-time stability of networked control systems under Denial of Service (DoS) attacks are investigated in this paper, where the communication between the plant and the controller is compromised at some time intervals. Toward this goal, first an event-triggered mechanism based on the variation rate of the Lyapunov function is proposed such that the ...
Doostmohammadian, M., Meskin, Nader
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Finite-Time Stability Analysis of Fractional Delay Systems
Mathematics, 2022 Nonhomogeneous systems of fractional differential equations with pure delay are considered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability
Ahmed M. Elshenhab +4 more
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Finite-time stability of discrete-time systems with time-varying delay [PDF]
Chemical Industry and Chemical Engineering Quarterly, 2012 Finite-time stability can be used in all applications where large values of the state are not acceptable. In this paper, finite-time stability problem for a class of linear time-varying delay systems is studied. Based on Lyapunov-like functions method
Stojanović Sreten B. +2 more
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Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay
Journal of Function Spaces, 2022 In this work, a class of two-dimensional fractional hyperbolic differential linear system (2D-FHDLS) with time delay is investigated. By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional
Abdellatif Ben Makhlouf +3 more
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Results on finite time and practical stability of continuous time delay [PDF]
Tehnika, 2016 This paper gives sufficient conditions for the attractive practical and finite time stability of linear continuous time delay systems of the form x(t) = A0x(t) + A1x(t-τ).
Debeljković Dragutin Lj. +3 more
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General conformable estimators with finite-time stability
Advances in Difference Equations, 2020 In this paper, some estimators are proposed for nonlinear dynamical systems with the general conformable derivative. In order to analyze the stability of these estimators, some Lyapunov-like theorems are presented, taking into account finite-time ...
Fidel Meléndez-Vázquez +2 more
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Finite-Time Stability of Continuous Autonomous Systems [PDF]
SIAM Journal on Control and Optimization, 2000 Summary: Finite-time stability is defined for equilibria of continuous but non-Lipschitzian autonomous systems. Continuity, Lipschitz continuity, and Hölder continuity of the settling-time function are studied and illustrated with several examples. Lyapunov and converse Lyapunov results involving scalar differential inequalities are given for finite ...
BHAT, SP, BERNSTEIN, DS
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