Stability of homogeneous linear systems with second-order Markovian jumps in discrete time

Authors

  • Jorge Enrique Mayta Guillermo Escuela Profesional de Matemática. Facultad de Ciencias. Universidad Nacional de Ingeniería https://orcid.org/0000-0002-7872-1639
  • Jesús Cernades Gómez Escuela Profesional de Matemática. Facultad de Ciencias. Universidad Nacional de Ingeniería
  • William Carlos Echegaray Castillo Escuela Profesional de Matemática. Facultad de Ciencias. Universidad Nacional de Ingeniería

Keywords:

Linear systems with Markovian jumps , stability, Markov chains

Abstract

In this work we will analyze the stability of governed second-order homogeneous linear systems.
by a Markov chain which we will denote by the acronym SLHSMS. This type of system is similar to the family.
of linear systems with Markovian jumps which is known by its acronym in English is MJLS as denoted in
[1]. Linear systems governed by a Markov chain are dynamic systems that present changes
abrupt. We present some definitions of stability for the SLHSMS system, where these types of stability
They are equivalent as long as the state space of the Markov chain is small. This study is a contribution
to literature.

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References

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Published

2021-06-18

How to Cite

Mayta Guillermo, J. E., Cernades Gómez, J., & Echegaray Castillo, W. C. (2021). Stability of homogeneous linear systems with second-order Markovian jumps in discrete time. Journal of the Science Faculty @ UNI, 18(1), 30–36. Retrieved from https://revistas.uni.edu.pe/index.php/revciuni/article/view/966

Issue

Vol. 18 No. 1 (2015)

Section

Artículos

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