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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 and stabilization of time-delay systems [PDF]
Systems and Control Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emmanuel Moulay, Michel Dambrine
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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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Comments on finite-time stability of time-delay systems [PDF]
Automatica, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Denis Efimov +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 ...
Sanjay P Bhat, Dennis Bernstein
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Finite-time stability of discrete autonomous systems
Automatica, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wassim Haddad, Junsoo Lee
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On energetically optimal finite-time stabilization [PDF]
2021 60th IEEE Conference on Decision and Control (CDC), 2021 The problem of finite-time stabilization of a linear plant with an optimization of both a settling time and an weighted/averaged control energy is studied using the concept of generalized homogeneity. It is shown that the optimal finite-time stabilizing control in this case can be designed solving a simple linear algebraic equation.
Polyakov, Andrey +2 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 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 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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