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Lyapunov Matrices for the Stability Analysis of a Multiple Distributed Time-Delay System with Piecewise-Function Kernel | IEEE Conference Publication | IEEE Xplore

Lyapunov Matrices for the Stability Analysis of a Multiple Distributed Time-Delay System with Piecewise-Function Kernel


Abstract:

We present the construction of a Lyapunov matrix for a multiple distributed time-delay system with piecewise-function kernel. The construction of this matrix is reduced t...Show More

Abstract:

We present the construction of a Lyapunov matrix for a multiple distributed time-delay system with piecewise-function kernel. The construction of this matrix is reduced to the computation of the solutions of a delay free system of matrix equations. The Lyapunov matrix also allows us to perform a stability analysis in the time-domain. This analysis consists in the positivity test of a matrix composed of Lyapunov matrices. Two illustrative examples show the results of the approach.
Date of Conference: 17-19 December 2018
Date Added to IEEE Xplore: 20 January 2019
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Conference Location: Miami, FL, USA

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