Juárez-Ramiro, Luis | CINVESTAV |
Mondie, Sabine | CINVESTAV |
Resumen: In this publication, we construct the Lyapunov matrices of a multiple distributed time-delay system in the particular case where the kernel functions are repeated. The matrix construction is reduced to the computation of the solutions of a delay free system of matrix equations. We find that the number of auxiliary matrices which allow us to find the solutions can be significantly reduced. We also carry out a stability analysis with the help of the obtained Lyapunov matrix. Two illustrative examples are presented.
![Lyapunov Matrices for the Stability Analysis of a Multiple Distributed Time-Delay System with Repeated Piecewise Function Kernel](/wp-content/uploads/2022/04/logotipo_amca100.png)
¿Cómo citar?
Luis Juárez & Sabine Mondié. Lyapunov Matrices for the Stability Analysis of a Multiple Distributed Time-Delay System with Repeated Piecewise Function Kernel. Memorias del Congreso Nacional de Control Automático, pp. 290-295, 2018.
Palabras clave
Time-delay, Linear systems, Stability analysis, Lyapunov stability
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