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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
State transformation for H
∞
control of uncertain jumping delayed systems
IMA Journal of Mathematical Control and Information, Volume 21, No. 4, Year 2004
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Description
A new state transformation exhibiting the delay-dependent behaviour for a class of uncertain delayed systems with Markovian jump parameters is developed to solve the problem of H∞ control. The jumping parameters are modelled as a continuous-time, discrete-state Markov process and the parametric uncertainties are assumed to be real, time-varying and norm-bounded that appear in the state, input and delayed-state matrices. The input and state delays are known. Complete results for instantaneous state feedback control designs are established which guarantee the strong-delay dependent stochastic stability with a prescribed H∞-performance. The solutions are provided in terms of a finite set of coupled linear matrix inequalities. A numerical example is given to show the potential of the proposed techniques. © Institute of Mathematics and its Applications 2004; all rights reserved.
Authors & Co-Authors
Mahmoud, Magdi S.
United Arab Emirates, Al Ain
United Arab Emirates University
Ismail, Abdulla
United Arab Emirates, Al Ain
United Arab Emirates University
Shi, Peng
United Kingdom, Pontypridd
University of South Wales
Agarwal, Ramesh
United States, St. Louis
Washington University in St. Louis
Statistics
Citations: 4
Authors: 4
Affiliations: 3
Identifiers
Doi:
10.1093/imamci/21.4.419
ISSN:
02650754