Normal forms for discrete-time switched linear systems
Chenavier, Cyrille ; Ushirobira, Rosane ; Hetel, Laurentiu
HAL, hal-02069712 / Harvested from HAL
Text on HAL
In this paper, we propose an algebraic approach to the analysis of discrete-time switched linear systems, where we investigate linear relations between words over the matrices of the system. We introduce normal form matrix words as well as a numerical criterion to reduce drastically the number of linear matrix inequalities conditions for checking stability. In particular, we relate exponential stability to quadratic stability of another system. We illustrate our methods with an example.
Publié le : 2019-03-15
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-02069712,
     author = {Chenavier, Cyrille and Ushirobira, Rosane and Hetel, Laurentiu},
     title = {Normal forms for discrete-time switched linear systems},
     journal = {HAL},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-02069712}
}

Chenavier, Cyrille; Ushirobira, Rosane; Hetel, Laurentiu. Normal forms for discrete-time switched linear systems. HAL, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/hal-02069712/