Continuous stabilization controllers for singular bilinear systems: The state feedback case

Guoping Lu; Daniel W.C. Ho

doi:10.1016/j.automatica.2005.09.010

Continuous stabilization controllers for singular bilinear systems: The state feedback case

Guoping Lu, Daniel W.C. Ho

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

35 Citations (Scopus)

Abstract

Global asymptotic stabilization for a class of singular bilinear systems is first studied in this paper. New approaches are developed by means of the LaSalle invariant principle for nonlinear systems. A new set of sufficient condition is first derived via the continuous static state feedback, the feedback not only guarantees the existence of solution but also the global asymptotical stabilization for the closed loop system. © 2005 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	309-314
Journal	Automatica
Volume	42
Issue number	2
DOIs	https://doi.org/10.1016/j.automatica.2005.09.010
Publication status	Published - Feb 2006

Research Keywords

Bilinear
Singular systems
Stabilization
State feedback control

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title = "Continuous stabilization controllers for singular bilinear systems: The state feedback case",

abstract = "Global asymptotic stabilization for a class of singular bilinear systems is first studied in this paper. New approaches are developed by means of the LaSalle invariant principle for nonlinear systems. A new set of sufficient condition is first derived via the continuous static state feedback, the feedback not only guarantees the existence of solution but also the global asymptotical stabilization for the closed loop system. {\textcopyright} 2005 Elsevier Ltd. All rights reserved.",

keywords = "Bilinear, Singular systems, Stabilization, State feedback control",

author = "Guoping Lu and Ho, {Daniel W.C.}",

year = "2006",

month = feb,

doi = "10.1016/j.automatica.2005.09.010",

language = "English",

volume = "42",

pages = "309--314",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Continuous stabilization controllers for singular bilinear systems

T2 - The state feedback case

AU - Lu, Guoping

AU - Ho, Daniel W.C.

PY - 2006/2

Y1 - 2006/2

N2 - Global asymptotic stabilization for a class of singular bilinear systems is first studied in this paper. New approaches are developed by means of the LaSalle invariant principle for nonlinear systems. A new set of sufficient condition is first derived via the continuous static state feedback, the feedback not only guarantees the existence of solution but also the global asymptotical stabilization for the closed loop system. © 2005 Elsevier Ltd. All rights reserved.

AB - Global asymptotic stabilization for a class of singular bilinear systems is first studied in this paper. New approaches are developed by means of the LaSalle invariant principle for nonlinear systems. A new set of sufficient condition is first derived via the continuous static state feedback, the feedback not only guarantees the existence of solution but also the global asymptotical stabilization for the closed loop system. © 2005 Elsevier Ltd. All rights reserved.

KW - Bilinear

KW - Singular systems

KW - Stabilization

KW - State feedback control

UR - http://www.scopus.com/inward/record.url?scp=29244462527&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-29244462527&origin=recordpage

U2 - 10.1016/j.automatica.2005.09.010

DO - 10.1016/j.automatica.2005.09.010

M3 - RGC 21 - Publication in refereed journal

SN - 0005-1098

VL - 42

SP - 309

EP - 314

JO - Automatica

JF - Automatica

IS - 2

ER -

Continuous stabilization controllers for singular bilinear systems: The state feedback case

Abstract

Research Keywords

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