Abstract: The regional robust control for a class of linear uncertain systems with multiple unknown constant delays is studied by using frecency domain techniques in this paper. The stabilization conditions such as that all poles of the closed-loop system under consideration lie in a certain symmetric region in the left-hand side of the complex plane are established. The result only depends on the upper bounds of delays and uncertain parameters, and is presented in the form of linear matrix inequalities (LMIs) so that it is easy to be calculated numerically. An example is also given to illustrate the proposed method.

Key words: system with multiple delays, uncertainty regional, robust control linear, matrix inequality