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A finite-time stability concept and conditions for finite-time and exponential stability of controlled nonlinear systems

2006 American Control Conference, 2006
This paper introduces a finite-time stability concept for nonlinear systems and the corresponding notion of stabilizability of controls. The concept generalizes previous finite-time stability as it requires that the state trajectory satisfies a given bound at some time instant in a certain interval, whereas previous notions considers that the system ...
Eduardo F. Costa, João B. R. do Val
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Finite-time stability and stabilization of discrete-time hybrid systems

Systems & Control Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiyao Wang   +3 more
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Finite-time stability and stabilization of switched linear systems

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009
In this paper, finite-time stability and stabilization problems for switched linear systems are discussed. Firstly, the concept of finite-time stability is extended to switched linear systems. Then, based on the state transition matrix of the system, a necessary and sufficient condition for finite-time stability of switched linear systems is presented.
Haibo Du, Xiangze Lin, Shihua Li 0001
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Finite-Time Stability and Stabilization of a Class of Nonlinear Time-Delay Systems

SIAM Journal on Control and Optimization, 2012
This paper investigates the finite-time stability (FTS) and stabilization for a class of nonlinear time-delay systems and proposes some new results. First, an equivalent form is presented for the systems by a coordinate transformation, and a criterion on the FTS is obtained for nonlinear time-delay systems via the Razumikhin approach ($R$-approach ...
Renming Yang, Yuzhen Wang
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Finite-time stability and finite-time synchronization of neural network – Dual approach

Journal of the Franklin Institute, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anna Michalak, Andrzej Nowakowski
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Finite-time stability analysis of stochastic switched boolean networks with impulsive effect

Applied Mathematics and Computation, 2019
This paper analyzes the finite-time stability of stochastic switched Boolean networks (SBNs) with impulsive effect. Using the algebraic state space representation (ASSR) approach, the dynamics of SBNs with impulsive effect is converted to an algebraic ...
Haitao Li, Xiaojing Xu, Xueying Ding
semanticscholar   +1 more source

Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion

Communications in Nonlinear Science and Numerical Simulation, 2018
Guo–Cheng Wu   +2 more
exaly   +2 more sources

Finite-time stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks

Communications in Nonlinear Science and Numerical Simulation, 2018
This paper mainly studies the finite-time stability and synchronization problems of memristor-based fractional-order fuzzy cellular neural network (MFFCNN). Firstly, we discuss the existence and uniqueness of the Filippov solution of the MFFCNN according
Mingwen Zheng   +2 more
exaly   +2 more sources

The stability of ecosystems—A finite-time approach

Journal of Theoretical Biology, 1977
Abstract The objective of this paper is to present some concepts of stability which originate from ecological considerations, discuss their relationship with existing concepts of stability, and furthermore to establish sufficient conditions for stability which are both robust in the sense of Levins and Slobodkin, and constructive.
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Existence and finite-time stability of discrete fractional-order complex-valued neural networks with time delays

Neural Networks, 2019
Without decomposing complex-valued systems into real-valued systems, the existence and finite-time stability for discrete fractional-order complex-valued neural networks with time delays are discussed in this paper.
Xingxing You, Q. Song, Zhenjiang Zhao
semanticscholar   +1 more source

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