IQC analysis for time-delay reset control systems with first order reset elements

This work studies input-output stability of time-delay reset control systems, with first order reset elements (FORE). The results are derived by using integral quadratic constraint (IQC) framework. A new delay-dependent stability criterion is formulated in the form of a linear matrix inequalities (LMI) condition, using Kalman-Yakubovich-Popov (KYP) lemma. A numerical example is given, which illustrates the effectiveness of the new criterion.