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Finite-time stability of homogeneous systems

Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997
Examines finite-time stability of homogeneous systems. The main result is that a homogeneous system is finite-time stable if and only if it is asymptotically stable and has a negative degree of homogeneity.
S.P. Bhat, D.S. Bernstein
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Finite time stability and comparison principles

Mathematical Proceedings of the Cambridge Philosophical Society, 1968
Motivated by discussion on practical stability in LaSalle and Lefschetz (3), Weiss and Infante (5), have discussed various notions of stability over finite time interval of a given differential system. This theory of stability differs from the usual stability theory mainly by the preassigned limits to which any given solution of the differential system
Kayande, A. A., Wong, J. S. W.
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Finite-time stability of switched systems

2012 24th Chinese Control and Decision Conference (CCDC), 2012
The finite-time stability of switched linear systems which contain both Hurwitz stable subsystems and unstable subsystems is researched in this paper. Firstly, the definition of finite-time stability is introduced. Then, based on the average dwell-time concept and by using the idea of specifying the total activation time period ration between the ...
null Wenbo Sheng, null Xiaoli Zhang
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Finite‐time boundary stabilization of reaction‐diffusion systems

International Journal of Robust and Nonlinear Control, 2017
SummaryIn this paper, the problem of boundary finite‐time stabilization is considered for reaction‐diffusion systems (RDSs). First, a full‐domain controller is designed, and sufficient conditions are given to ensure finite‐time stability of RDSs under the designed controller. Then, for practical applications, a boundary controller is designed to obtain
Kai‐Ning Wu   +3 more
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Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations

Mathematical methods in the applied sciences, 2019
This paper firstly deals with finite time stability (FTS) of Riemann‐Liouville fractional delay differential equations via giving a series of properties of delayed matrix function of Mittag‐Leffler. We secondly study relative controllability of such type‐
Mengmeng Li, Jinrong Wang
semanticscholar   +1 more source

Finite-time stability and finite-time boundedness of fractional order switched systems

Transactions of the Institute of Measurement and Control, 2019
Finite-time stability and finite-time boundedness of fractional order switched systems with 0 < α < 1 are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions ...
Jinxia Liang   +4 more
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Finite‐time stability of switched positive linear systems

International Journal of Robust and Nonlinear Control, 2012
SUMMARYThis brief paper addresses the finite‐time stability problem of switched positive linear systems. First, the concept of finite‐time stability is extended to positive linear systems and switched positive linear systems. Then, by using the state transition matrix of the system and copositive Lyapunov function, we present a necessary and sufficient
Chen, Guopei, Yang, Ying
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Finite-time stabilization of impulsive dynamical linear systems

Nonlinear Analysis: Hybrid Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Amato   +4 more
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Improved Approach for Finite-Time Stability of Nonlinear Fractional-Order Systems With Interval Time-Varying Delay

IEEE Transactions on Circuits and Systems - II - Express Briefs, 2019
In this brief, we propose an approach based on the Laplace transform and “inf-sup” method for studying finite-time stability of fractional-order systems (FOS) with time-varying delay and nonlinear perturbation.
N. T. Thanh, V. Phat
semanticscholar   +1 more source

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