Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions.
Finitetime stability involves dynamical systems whose trajectories converge to an equilibrium state in finite time. Since finitetime convergence implies nonuniqueness of system solutions in reverse time, such systems possess non Lipschitzian dynamics. Sufficient conditions for finitetime stability have been developed in the literature using H'older continuous Lyapunov functions. In this paper, we develop a general framework for finitetime stability analysis based on vector Lyapunov functions. Specifically, we construct a vector comparison system whose solution is finitetime stable and relate this finitetime stability property to the stability properties of a nonlinear dynamical system using a vector comparison principle. Furthermore, we design a universal decentralized finitetime stabilizer for largescale dynamical systems that is robust against full modeling uncertainty.
Main Author:  Nersesov, Sergey. 

Other Authors:  Haddad, Wassim., Hui, Qing. 
Language:  English 
Published: 
2007

Online Access: 
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Proceedings of the 2007 American Control Conference, Marriott Marquis Hotel at Times Square, New York City, USA, July 1113, 2007, pg. 48124816. 
author 
Nersesov, Sergey. 
author_s 
Nersesov, Sergey. 
spellingShingle 
Nersesov, Sergey. Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
authorletter 
Nersesov, Sergey. 
author_sort_str 
Nersesov, Sergey. 
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Haddad, Wassim. Hui, Qing. 
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Haddad, Wassim. Hui, Qing. 
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Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
title 
Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
title_short 
Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
title_full 
Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
title_fullStr 
Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
title_full_unstemmed 
Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
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finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
title_sort 
finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
description 
Finitetime stability involves dynamical systems
whose trajectories converge to an equilibrium state in finite
time. Since finitetime convergence implies nonuniqueness of
system solutions in reverse time, such systems possess non
Lipschitzian dynamics. Sufficient conditions for finitetime
stability have been developed in the literature using H'older
continuous Lyapunov functions. In this paper, we develop a
general framework for finitetime stability analysis based on
vector Lyapunov functions. Specifically, we construct a vector
comparison system whose solution is finitetime stable and relate
this finitetime stability property to the stability properties
of a nonlinear dynamical system using a vector comparison
principle. Furthermore, we design a universal decentralized
finitetime stabilizer for largescale dynamical systems that is
robust against full modeling uncertainty. 
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2007 
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2007 
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Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
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dc.title 
Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
dc.creator 
Nersesov, Sergey. Haddad, Wassim. Hui, Qing. 
dc.description 
Finitetime stability involves dynamical systems
whose trajectories converge to an equilibrium state in finite
time. Since finitetime convergence implies nonuniqueness of
system solutions in reverse time, such systems possess non
Lipschitzian dynamics. Sufficient conditions for finitetime
stability have been developed in the literature using H'older
continuous Lyapunov functions. In this paper, we develop a
general framework for finitetime stability analysis based on
vector Lyapunov functions. Specifically, we construct a vector
comparison system whose solution is finitetime stable and relate
this finitetime stability property to the stability properties
of a nonlinear dynamical system using a vector comparison
principle. Furthermore, we design a universal decentralized
finitetime stabilizer for largescale dynamical systems that is
robust against full modeling uncertainty. 
dc.date 
2007 
dc.identifier 
vudl:178298 
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Proceedings of the 2007 American Control Conference, Marriott Marquis Hotel at Times Square, New York City, USA, July 1113, 2007, pg. 48124816. 
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en 
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