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: 
http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178298 
PID 
vudl:178298 

id 
vudl:178298 
modeltype_str_mv 
vudlsystem:CoreModel vudlsystem:CollectionModel vudlsystem:ResourceCollection 
datastream_str_mv 
DC PARENTQUERY PARENTLISTRAW PARENTLIST MEMBERQUERY MEMBERLISTRAW LEGACYMETS LICENSE AGENTS PROCESSMD THUMBNAIL STRUCTMAP RELSEXT 
hierarchytype 

sequence_vudl_178273_str 
0000000009 
has_order_str 
no 
hierarchy_top_id 
vudl:171664 
hierarchy_top_title 
Villanova Digital Collection 
hierarchy_parent_id 
vudl:178273 
hierarchy_parent_title 
Nersesov Sergey 
hierarchy_sequence 
0000000009 
hierarchy_first_parent_id_str 
vudl:178298 
hierarchy_sequence_sort_str 
0000000009 
hierarchy_all_parents_str_mv 
vudl:172968 vudl:171664 vudl:178273 
first_indexed 
20140111T22:36:30Z 
last_indexed 
20140111T22:36:30Z 
recordtype 
vudl 
fullrecord 
<root>
<url>
http://digital.library.villanova.edu/files/vudl:178298/DC
</url>
<thumbnail>
http://digital.library.villanova.edu/files/vudl:178298/THUMBNAIL
</thumbnail>
</root>

spelling 

institution 
Villanova University 
collection 
Digital Library 
language 
English 
dc_source_str_mv 
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. 
author2 
Haddad, Wassim. Hui, Qing. 
author2Str 
Haddad, Wassim. Hui, Qing. 
dc_title_str 
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. 
collection_title_sort_str 
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. 
publishDate 
2007 
normalized_sort_date 
20070101T00:00:00Z 
dc_date_str 
2007 
license_str 
protected 
REPOSITORYNAME 
FgsRepos 
REPOSBASEURL 
http://hades.library.villanova.edu:8088/fedora 
fgs.state 
Active 
fgs.label 
Finitetime stabilization of nonlinear dynamical systems via control vector lyapunov functions. 
fgs.ownerId 
diglibEditor 
fgs.createdDate 
20130122T07:13:54.206Z 
fgs.lastModifiedDate 
20131205T17:06:24.463Z 
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 
dc.source 
Proceedings of the 2007 American Control Conference, Marriott Marquis Hotel at Times Square, New York City, USA, July 1113, 2007, pg. 48124816. 
dc.language 
en 
license.mdRef 
http://digital.library.villanova.edu/copyright.html 
agent.name 
Falvey Memorial Library, Villanova University klk 
has_thumbnail 
true 
THUMBNAIL_contentDigest_type 
MD5 
THUMBNAIL_contentDigest_digest 
203c69e18f4f46c81e9892448d2c07cd 
THUMBNAIL_contentLocation_type 
INTERNAL_ID 
THUMBNAIL_contentLocation_ref 
http://hades.library.villanova.edu:8088/fedora/get/vudl:178298/THUMBNAIL/20130122T07:13:56.217Z 
relsext.hasModel 
info:fedora/vudlsystem:CoreModel info:fedora/vudlsystem:CollectionModel info:fedora/vudlsystem:ResourceCollection 
relsext.itemID 
oai:digital.library.villanova.edu:vudl:178298 
relsext.isMemberOf 
info:fedora/vudl:178273 
relsext.hasLegacyURL 
http://digital.library.villanova.edu/Villanova%20Digital%20Collection/Faculty%20Fulltext/Nersesov%20Sergey/NersesovSergey634bb063902c41a8a7996cefd0a2131f.xml 
relsext.sortOn 
title 
relsext.sequence 
vudl:178273#9 
_version_ 
1504168835129802752 
score 
13.468558 
subpages 