1. Robust Stability Analysis of Linear Parameter-Varying Systems With Markov Jumps.
- Author
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Vargas, Alessandro N., Agulhari, Cristiano M., Oliveira, Ricardo C. L. F., and Preciado, Victor M.
- Subjects
MARKOVIAN jump linear systems ,ROBUST stability analysis ,LINEAR systems ,STABILITY of linear systems ,LINEAR matrix inequalities ,HOMOGENEOUS polynomials ,MATRIX inequalities - Abstract
This article presents conditions to assure the mean-square stability of linear parameter-varying systems with Markov jumps. The model dynamics are driven not only by a Markov chain but also by time-varying parameters that take values in a polytopic set. No assumption is imposed on how the parameters vary within the polytopic set, i.e., the variation rate can be arbitrarily fast. The proposed conditions stem from a homogeneous polynomial Lyapunov function in the state space, adapted to account for Markov jumps. The stability certificate is sought through linear matrix inequalities. Numerical examples illustrate this article’s contribution. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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