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Finite-Time Stability Analysis: A Tutorial Survey [PDF]
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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Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay [PDF]
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 of Continuous Autonomous Systems [PDF]
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 S Bernstein
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Finite-time stability and stabilization of time-delay systems [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emmanuel Moulay +2 more
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Finite Time Stability of Stochastic Hybrid Systems [PDF]
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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wassim M Haddad, Junsoo Lee
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On energetically optimal finite-time stabilization [PDF]
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 Under Denial of Service [PDF]
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 ...
Mohammadreza Doostmohammadian +1 more
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On Notions of Output Finite-Time Stability [PDF]
Lyapunov 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 $R^n$. The definitions are given in the form of $K$ and $KL$ functions.
Zimenko, Konstantin +3 more
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Finite-time stability of discrete-time systems with time-varying delay [PDF]
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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