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Stability of time-delay systems via Wirtinger-based double integral inequality. (English) Zbl 1377.93123
Summary: Based on the Wirtinger-based integral inequality, a double integral form of the Wirtinger-based integral inequality (hereafter called as Wirtinger-based double integral inequality) is introduced in this paper. To show the effectiveness of the proposed inequality, two stability criteria for systems with discrete and distributed delays are derived within the framework of Linear Matrix Inequalities (LMIs). The advantage of employing the proposed inequalities is illustrated via two numerical examples.

MSC:
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C05 Linear systems in control theory
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