Delay-dependent criteria for robust stability of linear uncertain systems with multiple time-varying state delays

This paper deals with delay-dependent robust stability criteria for systems with time-varying structured uncertainties and multiple time-varying state delays. New delay-dependent stability criteria are devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Since free weighting matrices are used to express this relationship and appropriate ones are selected by means of linear matrix inequalities, the new criteria are more computationally effective and less conservative than the existing ones.