Robust stabilization of Markovian delay systems with delaydependent exponential estimates
Robust stabilization of Markovian delay systems with delaydependent exponential estimates
A sufficient condition for the exponential estimates of a class of Markovian systems with time delay is established for the first time in terms of the linear matrix inequality (LMI) technique. The estimating procedure is implemented by solving an LMI. The proposed condition is also extended to the uncertain case. Moreover, a state feedback stabilizing controller which makes the closed-loop system exponentially stable with a prescribed lower bound of decay rate is designed. Numerical examples are provided to illustrate the effectiveness of the theoretical results.
2001-2008
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
November 2006
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Xu, Shengyuan
83315174-029e-4b79-89ae-0e9b5b195351
Shu, Zhan, Lam, James and Xu, Shengyuan
(2006)
Robust stabilization of Markovian delay systems with delaydependent exponential estimates.
Automatica, 42 (11), .
(doi:10.1016/j.automatica.2006.06.016).
Abstract
A sufficient condition for the exponential estimates of a class of Markovian systems with time delay is established for the first time in terms of the linear matrix inequality (LMI) technique. The estimating procedure is implemented by solving an LMI. The proposed condition is also extended to the uncertain case. Moreover, a state feedback stabilizing controller which makes the closed-loop system exponentially stable with a prescribed lower bound of decay rate is designed. Numerical examples are provided to illustrate the effectiveness of the theoretical results.
This record has no associated files available for download.
More information
Published date: November 2006
Organisations:
Mechatronics
Identifiers
Local EPrints ID: 199839
URI: http://eprints.soton.ac.uk/id/eprint/199839
ISSN: 0005-1098
PURE UUID: 8b9f44e2-2688-413a-8244-97a57dd95ba3
Catalogue record
Date deposited: 27 Oct 2011 08:19
Last modified: 14 Mar 2024 04:17
Export record
Altmetrics
Contributors
Author:
Zhan Shu
Author:
James Lam
Author:
Shengyuan Xu
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics