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Approximation of the Constrained Joint Spectral Radius via Algebraic Lifting.
- Source :
-
IEEE Transactions on Automatic Control . Jul2021, Vol. 66 Issue 7, p3386-3392. 7p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR systems
*MATRIX multiplications
*APPROXIMATION algorithms
Subjects
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 66
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 151283268
- Full Text :
- https://doi.org/10.1109/TAC.2020.3020580