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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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Finite-time stabilization of uncertain MIMO systems

53rd IEEE Conference on Decision and Control, 2007
Any uncertain smooth multi-input multi-output dynamic system of a full relative degree can be locally finitetime stabilized at its equilibrium point by means of a standard continuous feedback, provided an approximation of the partial-derivatives' matrix of highest order total output derivatives with respect to controls is available. Homogeneous sliding-
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Stochastic finite-time partial stability, partial-state stabilization, and finite-time optimal feedback control

Mathematics of Control, Signals, and Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tanmay Rajpurohit, Wassim M. Haddad 0001
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Finite-time stability and stabilization of LPV systems

2016 35th Chinese Control Conference (CCC), 2016
This paper deals with the finite-time stability analysis and design problems for Linear Parameter Varying (LPV) systems. First, we extend the concept of the finite-time stability to LPV systems. Then, sufficient conditions for finite-time stability are presented by using Lyapunov-like functions.
Yanmei Hu, Guangren Duan, Feng Tan
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Input–output finite-time stabilization of linear systems with finite-time boundedness

ISA Transactions, 2014
The paper presents linear system Input-Output Finite-Time Stabilization (IO-FTS) method under Finite-Time Boundedness (FTB) constraint. A state feedback controller is designed, via Linear Matrix Inequalities (LMIs), to guarantee the system both IO-FTS and FTB.
Yang, Guo   +5 more
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Finite-Time Stability and Boundedness of Switched Systems with Finite-Time Unstable Subsystems

Circuits, Systems, and Signal Processing, 2018
In this paper, problems covering finite-time stability and boundedness of switched systems with finite-time unstable subsystems are researched through the method of multi-Lyapunov function. On basis of the mode-dependent average dwell time method, the systems are required to meet the standards of remaining finite-time stable and finite-time bounded ...
Jialin Tan, Weiqun Wang, Juan Yao
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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 [Formula: see text] are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems ...
Jinxia Liang   +4 more
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Finite-time stability of switched nonlinear systems with finite-time unstable subsystems

Journal of the Franklin Institute, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xueling Li   +3 more
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Finite-time stabilization of interconnected nonlinear systems

2013 IEEE International Conference on Control Applications (CCA), 2013
This paper deals with the finite-time stability and stabilization problems of interconnected nonlinear systems. We consider that there exist a finite-time stable controller for each isolated system for which is added a control part that preserves the systems finite-time stability. Sufficient conditions for finite-time stability are achieved, and permit
Naim Zoghlami   +3 more
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Finite time stabilization of delayed neural networks

Neural Networks, 2015
In this paper, the problem of finite time stabilization for a class of delayed neural networks (DNNs) is investigated. The general conditions on the feedback control law are provided to ensure the finite time stabilization of DNNs. Then some specific conditions are derived by designing two different controllers which include the delay-dependent and ...
Leimin Wang, Yi Shen 0002, Zhixia Ding
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