Advanced search
Publication Cover
International Journal of Control Volume 81, 2008 - Issue 6
Submit an article Journal homepage
538
Views
68
CrossRef citations to date
0
Altmetric
Original Articles

Finite-time stabilization of linear systems via impulsive control

L. Liu Department of Mathematics, Tongji University, Shanghai, 200092, China
&
J. Sun Department of Mathematics, Tongji University, Shanghai, 200092, ChinaCorrespondence[email protected]
Pages 905-909 | Received 23 Feb 2007, Accepted 16 Jun 2007, Published online: 09 Feb 2011

References

  • Aguilar , JLM , Garcia , RA and Troparevsky , MI . 2001 . Stability of a certain class of hybrid dynamical system . Inter. J. Contr. , 73 : 1362 – 1374 .
  • Amato , F , Ariola , M and Cosentino , C . 2006 . Finite-time stabilization via dynamic output feedback . Automatica , 42 : 337 – 342 .
  • Dorato , P . “Short time stability in linear time-varying systems” . Proceeding of IRE International Convention Record Part 4 . pp. 83 – 87 . New York
  • Guan , ZH , Hill , DJ and Shen , XM . 2005 . On hybrid impulsive and switching systems and application to nonlinear control . IEEE Trans. Automat. Contr. , 50 : 1058 – 1062 .
  • Haddad , WM , Chellaboina , V and Kablar , NA . 2001 . “Non-linear impulsive dynamical systems. Part II: Stability of feedback interconnections and optimality” . Inter. J. Contr. , 74 : 1659 – 1677 .
  • Huang , L . 1984 . Algebra in Systems and Control Theory , China : Science Press .
  • Kablar , NA , Viseslava , K and Debeljkovic , D . 1998 . Finite-time stability of time-varying linear singular systems . Proceeding of the 37th IEEE Conference on Decision and Control Tampa . 1998 , Florida USA. pp. 3831 – 3836 .
  • Khadra , A , Liu , XZ and Shen , X . 2005 . Impulsively synchronizing chaotic systems with delay and applications to secure communication . Automatica , 41 : 1491 – 1502 .
  • Li , S and Tian , YP . 2007 . Finite-time stability of cascaded time-varying systems . Inter. J. Contr. , 80 : 646 – 657 .
  • Sun , JT and Zhang , YP . 2003 . Stability analysis of impulsive control systems . IEE Proceeding of Control Theory Application , 150 : 331 – 334 .
  • Sun , JT , Zhang , YP and Wu , QD . 2003 . Less conservative conditions for asymptotic stability of impulsive control systems . IEEE Trans. Automat. Contr. , 48 : 829 – 831 .
  • Weiss , L and Infante , EF . 1967 . Finite time stability under perturbing forces and on product spaces . IEEE Trans. Automat. Contr. , 12 : 54 – 59 .
  • Yang , T . Impulsive Control Theory , Berlin : Springer .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.