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Finite-Time Stability Analysis: A Tutorial Survey [PDF]

open access: yesComplexity, 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
doaj   +7 more sources

Finite-Time Stability of Continuous Autonomous Systems [PDF]

open access: yesSIAM 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
exaly   +5 more sources

Finite-Time Stability of Discrete Autonomous Systems

open access: yes2020 American Control Conference (ACC), 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wassim M. Haddad 0001, Junsoo Lee 0001
exaly   +6 more sources

Finite-Time Stability Analysis of Fractional Delay Systems [PDF]

open access: goldMathematics, 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
doaj   +2 more sources

Finite-time stability and stabilization of time-delay systems [PDF]

open access: yesSystems & Control Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moulay, Emmanuel   +3 more
openaire   +6 more sources

Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay [PDF]

open access: yesEntropy, 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
doaj   +2 more sources

On Notions of Output Finite-Time Stability [PDF]

open access: yes2019 18th European Control Conference (ECC), 2019
International audienceLyapunov characterizations of output finite-time stability are presented for the system $x' = f (x), y = h(x)$ which is locally Lipschitz continuous out of the set $Y = {x ∈ R n : h(x) = 0}$ and continuous on $R^n$.
Zimenko, Konstantin   +3 more
core   +3 more sources

Finite Time Stability of Stochastic Hybrid Systems [PDF]

open access: yesAbstract 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
doaj   +2 more sources

Comments on finite-time stability of time-delay systems [PDF]

open access: yesAutomatica, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Efimov, Denis   +4 more
openaire   +3 more sources

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