Analysis of the stability of Discrete-time Markov Jump Linear Singular Systems

Mayta Guillermo J.E.; Lourdes Moreno Capristano M. · Proceedings of the IEEE Conference on Decision and Control (2020) · DOI: 10.1109/cdc42340.2020.9303872

Resumen

This paper investigates the stability for Markov jump linear singular system. It yields that mode to mode causality and regularity are sufficient conditions. Mean square stability is analyzed using the spectral radius of a certain matrix. In addition, the equivalence between the different definitions of stability is presented. Finally, a simple example is set to check the results.

Instituciones: Universidad Nacional de Ingeniería