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Robust ℋ control for uncertain linear time-delay systems: a linear matrix inequality approach with guaranteed α-stability. II

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4 Author(s)
Huaizhong Li ; Lab. d''Autom. de Grenoble, ENSIEG, St. Martin d''Heres, France ; Niculescu, S.-I. ; Dugard, L. ; Dion, J.-M.

For part I, see ibid., p.1370-75. This paper is concerned with robust ℋ control with guaranteed α-stability for uncertain linear time-delay systems using a linear matrix inequality approach. The uncertainty described in this paper is in the so-called quadratic constraint form which takes some well-known uncertainty descriptions as special cases. Two specific problems are tackled in this paper, namely the robust ℋ control with guaranteed α-stability for uncertain linear time-delay systems with unknown constant delay using memoryless static state feedback and the robust ℋ control with guaranteed α-stability for uncertain linear time-delay systems with bounded varying rate time-varying delay using memoryless static state feedback. We show that feasibility of some LMIs will guarantee the solvability of the corresponding problem

Published in:

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on  (Volume:2 )

Date of Conference:

11-13 Dec 1996

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