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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 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 ...
S. Bhat, D. Bernstein
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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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Finite-Time Stability of Discrete Autonomous Systems
2020 American Control Conference (ACC), 2020 Finite-time stability involves dynamical systems whose trajectories converge to a Lyapunov stable equilibrium state in finite time. In this paper, we address finite time stability of discrete-time dynamical systems. Specifically, we show that finite time
W. Haddad, Junsoo Lee
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Finite-Time Stability Analysis of Fractional Delay Systems [PDF]
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 Fractional Order Systems of Neutral Type
Fractal and Fractional, 2022 This work deals with a new finite time stability (FTS) of neutral fractional order systems with time delay (NFOTSs). In light of this, FTSs of NFOTSs are demonstrated in the literature using the Gronwall inequality.
Abdellatif Ben Makhlouf, Dumitru Baleanu
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Finite-Time Stability Under Denial of Service [PDF]
IEEE Systems Journal, 2020 Finite-time stability (FTS) of networked control systems under denial-of-service (DoS) attacks are investigated in this article, where the communication between the plant and the controller is compromised at some time intervals.
Mohammadreza Doostmohammadian, N. Meskin
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Finite-time stability of linear stochastic fractional-order systems with time delay
Advances in Difference Equations, 2021 This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for α ∈ ( 1 2 , 1 ) $\alpha \in (\frac{1}{2},1)$ . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time
Lassaad Mchiri +3 more
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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 analysis and control of stochastic SIR epidemic model: A study of COVID-19. [PDF]
Biomed Signal Process Control, 2023 Gunasekaran N +3 more
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