, Volume 127, Issue 2, pp 411-423

Convex Optimization Approach to Dynamic Output Feedback Control for Delay Differential Systems of Neutral Type

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Abstract

In this paper, the design problem of the dynamic output feedback controller for the asymptotic stabilization of a class of linear delay differential systems of the neutral type is considered. A criterion for the existence of such controller is derived based on the matrix inequality approach combined with the Lyapunov method. A parametrized characterization of the controller is given in terms of the feasible solutions to certain matrix inequalities, which can be solved by various convex optimization algorithms. A numerical example is given to illustrate the proposed design method.

Communicated by F. E. Udwadia
This work was supported by Grant R05-2003-000-10173-0 from the Korea Science and Engineering Foundation.
The author is grateful to J. S. Park and C. J. Cho for valuable support.