\(H_\infty\) and positive-real control for linear neutral delay systems. (English) Zbl 1008.93033

Xu, Shengyuan; Lam, James; Yang, Chengwu

IEEE Trans. Autom. Control 46, No. 8, 1321-1326 (2001).

The authors consider the \(H_\infty\) and positive-real control problems for linear neutral delay systems. Based on the linear matrix inequalities approach, sufficient conditions for the solvability of these two problems are presented.
These results encompass earlier ones for delay systems.

Reviewer: M.Megan (Timişoara)

MSC:

93B36	\(H^\infty\)-control
93C23	Control/observation systems governed by functional-differential equations
15A39	Linear inequalities of matrices
34K40	Neutral functional-differential equations

Keywords:

\(H_\infty\) control; positive-real control problems; linear neutral delay systems; linear matrix inequalities