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Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients. (English) Zbl 1015.34061
Summary: The stability for systems with distributed delay is considered using discretized Lyapunov functional. The coefficients associated with the distributed delay are assumed to be piecewise constant, and the discretization mesh may be nonuniform. The resulting stability criteria are written as a linear matrix inequality. Numerical examples are provided to illustrate the effectiveness of the method. The basic idea can be extended to a more general setting with more involved formulation.

MSC:
34K20 Stability theory of functional-differential equations
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
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