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CONTROLLABILITY OF LINEAR IMPULSIVE SYSTEMS-AN EIGENVALUE APPROACH.
- Source :
- Kybernetika; 2020, Vol. 56 Issue 4, p727-752, 26p
- Publication Year :
- 2020
-
Abstract
- This article considers a class of finite-dimensional linear impulsive time-varying systems for which various sufficient and necessary algebraic criteria for complete controllability, including matrix rank conditions are established. The obtained controllability results are further synthe- sised for the time-invariant case, and under some special conditions on the system parameters, we obtain a Popov-Belevitch-Hautus (PBH)-type rank condition which employs eigenvalues of the system matrix for the investigation of their controllability. Numerical examples are pro- vided that demonstrate|for the linear impulsive systems, null controllability need not imply their complete controllability, unlike for the non-impulsive linear systems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00235954
- Volume :
- 56
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Kybernetika
- Publication Type :
- Academic Journal
- Accession number :
- 146861775
- Full Text :
- https://doi.org/10.14736/kyb-2020-4-0727