Finite time stability of differential inclusions [PDF]
In this paper, the problem of finite time stability is investigated for differential inclusion. Two sufficient conditions for finite time stability, using a smooth Lyapunov function and a nonsmooth one, are established. Then, the same idea is used to give two necessary conditions.
Emmanuel Moulay, Wilfrid Perruquetti
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On Condition for Output Finite-Time Stability and Adaptive Finite-Time Control Scheme [PDF]
A sufficient condition for output finite-time stability is presented. Based on this condition a scheme of adaptive finite-time control design is provided. The presented results are obtained with the use of homogeneity property. The theoretical results are supported by numerical examples.
Zimenko, Konstantin +2 more
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Finite-Time Stability Analysis of Fractional Delay Systems
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
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]
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
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 Linear Conformable Stochastic Differential Equation with Finite Delay
This paper investigates the finite-time stability (FTS) of a linear conformable stochastic differential equation with finite delay (LCSDEwFD). We use the Banach fixed point theorem (BFPT) to prove the existence and uniqueness of the solution and analyze ...
Mohamed Rhaima +2 more
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Robust finite-time stability of neutral fractional time-delay systems
This paper is devoted to investigating the robust finite-time stability issue of neutral fractionalorder system. Based on the generalized Bellman-Gronwall inequality, a new sufficient condition is established for the particular class of neutral ...
ZHANG Li, GAO Cunchen, REN Qifeng
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A unified closed-loop stability measure for finite-precision digital controller realizations implemented in different representation schemes [PDF]
The closed-loop stability issue of finite-precision realizations is investigated for digital controllers implemented in three different arithmetic formats, namely fixed-point, floating-point and block-floating-point schemes.
Chu, J. +3 more
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Finite-time stability results for fractional damped dynamical systems with time delays
This paper is explored with the stability procedure for linear nonautonomous multiterm fractional damped systems involving time delay. Finite-time stability (FTS) criteria have been developed based on the extended form of Gronwall inequality.
Ganesan Arthi +2 more
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