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Lyapunov functional for a linear system with two delays both retarded and neutral type

DOI: 10.2478/v10170-010-0006-7

Keywords: Lyapunov functional, time delay system, neutral system, LTI system

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Abstract:

The paper presents a method of determining of the Lyapunov quadratic functional for linear time-invariant system with two delays both retarded and neutral type. The Lyapunov functional is constructed for a given its time derivative which is calculated on the trajectory of the system with two delays both retarded and neutral type. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.

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