Name
Abstract | ||
|---|---|---|
This article studies the constrained switching (linear) system which is a discrete-time switched linear system whose switching sequences are constrained by a deterministic finite automaton. The stability of a constrained switching system is characterized by its constrained joint spectral radius that is known to be difficult to compute or approximate. Using the semitensor product of matrices, the matrix-form expression of a constrained switching system is shown to be equivalent to that of a lifted arbitrary switching system. Then, the constrained joint/generalized spectral radius of a constrained switching system is proven to be equal to the joint/generalized spectral radius of its lifted arbitrary switching system which can be approximated by off-the-shelf algorithms. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1109/TAC.2020.3020580 | IEEE Transactions on Automatic Control |
Keywords | Field | DocType |
Constrained joint spectral radius,constrained switching systems,semitensor product,switched systems | Discrete mathematics,Spectral radius,Algebraic number,Deterministic finite automaton,Mathematical analysis,Matrix (mathematics),Joint spectral radius,Exponential stability,Mathematics | Journal |
Volume | Issue | ISSN |
66 | 7 | 0018-9286 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiangru Xu | 1 | 165 | 10.24 |
| Behçet Açikmese | 2 | 41 | 15.88 |