Results 161 to 170 of about 162,331 (198)

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, Han‐Xiao Sun, Peng Shi, Cheng‐Chew Lim   +3 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, R. Ambrosino, M. Ariola, C. Cosentino, G. De Tommasi   +4 more
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Piecewise quadratic functions for finite-time stability analysis

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
In this paper we consider the finite-time stability (FTS) problem for linear time varying systems. In most of the previous literature, the definition of FTS exploits the standard weighted quadratic norm to define the initial and trajectory domains, which, therefore, turn out to be ellipsoidal; this is consistent with the fact that quadratic Lyapunov ...
Ambrosino, R., Garone, E., Ariola, M., Amato, F.   +3 more
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Finite Time Stability and Optimal Finite Time Stabilization for Discrete-Time Stochastic Dynamical Systems

IEEE Transactions on Automatic Control, 2022
Junsoo Lee, Wassim M. Haddad, Manuel Lanchares   +2 more
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Almost Global Finite-Time Stability of Invariant Sets

2018 IEEE Conference on Decision and Control (CDC), 2018
A relation between finite-time stability and Rantzer's density function has been presented for both discrete- and continuous-time system. We show that the existence of an integrable Rantzer function (also called Lyapunov density or Lyapunov measure) implies the convergence of almost all trajectories to an invariant set in finite time.
Karabacak, Özkan, Wisniewski, Rafal, Kivilcim, Aysegul   +2 more
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Finite-time stability of fractional-order nonlinear systems

Chaos: An Interdisciplinary Journal of Nonlinear Science
The paper studies the finite-time stability (FTS) of equilibrium points (EPs) in fractional-order nonlinear systems (FONSs). Classifying the EPs into initial EP and finite-time EP innovatively, equations of the EPs in FONSs are investigated comprehensively, and a unified definition depicting the EPs in the FONSs is proposed.
Zaiyong Feng, Zhengrong Xiang
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