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Stability analysis of systems with uncertain time-varying delays. (English) Zbl 1282.93203

Summary: Stability of systems in the presence of bounded uncertain time-varying delays in the feedback loop is studied. The delay parameter is assumed to be an unknown time-varying function for which the upper bounds on the magnitude and the variation are given. The stability problem is treated in the Integral Quadratic Constraint (IQC) framework. Criteria for verifying robust stability are formulated as feasibility problems over a set of frequency-dependent linear matrix inequalities. The criteria can be equivalently formulated as SemiDefinite Programs (SDP) using Kalman-Yakubovich-Popov lemma. As such, checking robust stability can be performed in a computationally efficient fashion.

MSC:

93D09 Robust stability
93C41 Control/observation systems with incomplete information
90C22 Semidefinite programming
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