Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4976083 | Journal of the Franklin Institute | 2009 | 23 Pages |
Abstract
In this paper, new results are established for the delay-independent and delay-dependent problems of dissipative analysis and state-feedback synthesis for a class of nonlinear systems with time-varying delays with polytopic uncertainties. This class consists of linear time-delay systems subject to nonlinear cone-bounded perturbations. Both delay-independent and delay-dependent dissipativity criteria are established as linear matrix inequality-based feasibility tests. The developed results in this paper for the nominal system encompass available results on Hâ approach, passivity and positive realness for time-delay systems as special cases. All the sufficient stability conditions are cast. Robust dissipativity as well as dissipative state-feedback synthesis results are also derived. Numerical examples are provided to illustrate the theoretical developments.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Magdi S. Mahmoud, Yan Shi, Fouad M. AL-Sunni,