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Finite-time stability and instability of stochastic nonlinear systems

Automatica, 2011
Finite-time stability and instability of stochastic nonlinear ...
Juliang Yin, Xinghuo Yu, Zhihong Man
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Finite time stability and stabilization

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
In this paper, finite time stability and stabilization are investigated for systems described by ordinary differential equations (ODE) or differential inclusions: some sufficient conditions are given for scalar and n-dimensional cases. Then, a stabilization result for I/O linearizable systems is derived from these results.
Wilfried Perruquetti, Sergey V. Drakunov
openaire   +1 more source

Finite-time stability of discrete-time systems

Proceedings of the 2004 American Control Conference, 2004
We deal with some finite-time control problems for discrete-time linear systems. First we provide necessary and sufficient conditions for finite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference Lyapunov equation (or inequality).
Amato, F., Carbone, M., Ariola, M., Cosentino, C.   +3 more
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On the Continuous Finite-Time Stabilization of the Double Integrator

SIAM Journal on Control and Optimization, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arturo Zavala-Río, Tonametl Sanchez, Griselda I. Zamora-Gómez   +2 more
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Finite time stability of nonlinear systems

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
Finite time stability is defined for non autonomous non linear systems. Starting with the proof of an old result from Haimo which gives necessary and sufficient condition for autonomous scalar systems, then we extend this result to n-dimensional systems through the use of Liapunov functions and (here the obtained results are less restrictives).
Emmanuel Moulay, Wilfrid Perruquetti
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The finite-time stability of perturbed systems

2012 IEEE International Conference on Control Applications, 2012
This paper deals with the finite-time stability of dynamic perturbed systems. The Lyapunov stability case is studied for nonautonomous systems and where the autonomous part is considered as finite-time stable and augmented by a separable function related to time-varying perturbations.
Naim Zoghlami, Lotfi Beji, Rhouma Mlayeh, Azgal Abichou   +3 more
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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, Guoping Lu, Min Zhao, Jitao Sun   +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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