Park, J. H. Convex optimization approach to dynamic output feedback control for delay differential systems of neutral type. (English) Zbl 1113.93048 J. Optim. Theory Appl. 127, No. 2, 411-423 (2005). The paper is concerned with the design problem of an output dynamic feedback controller for linear delay differential systems of the neutral type. The problem of stabilization of this class of systems is of the main concern. A dynamic output feedback controller is designed which guarantees the asymptotic stability of the systems. A stabilization criterion in terms of matrix inequalities is derived and solved by convex optimization algorithms. A numerical example is also presented to illustrate the design procedure. Reviewer: Ilkka Virtanen (Vaasa) Cited in 11 Documents MSC: 93B52 Feedback control 93B51 Design techniques (robust design, computer-aided design, etc.) 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 93D15 Stabilization of systems by feedback 93D20 Asymptotic stability in control theory Keywords:Neutral systems; feedback control; dynamic controllers; Lyapunov method; asymptotic stability PDFBibTeX XMLCite \textit{J. H. Park}, J. Optim. Theory Appl. 127, No. 2, 411--423 (2005; Zbl 1113.93048) Full Text: DOI References: [16] Gu, K., An Integral Inequality in the Stability Problem of Time-Delay Systems, Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 2805–2810, 2000. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.