TY - GEN
T1 - Alternative Stability Conditions for Switched Discrete Time Linear Systems
AU - Athanasopoulos, Nikolaos
AU - Lazar, Mircea
PY - 2014
Y1 - 2014
N2 - Alternative necessary and sufficient conditions for absolute exponential stability are presented, for switched discrete–time linear systems. To reach these results, we exploit concepts from set theory and in specific the forward reachability set mappings. The developed theorem can be utilized to construct iterative numerical procedures for verifying stability. Two examples illustrate the effectiveness of the proposed methodology.
AB - Alternative necessary and sufficient conditions for absolute exponential stability are presented, for switched discrete–time linear systems. To reach these results, we exploit concepts from set theory and in specific the forward reachability set mappings. The developed theorem can be utilized to construct iterative numerical procedures for verifying stability. Two examples illustrate the effectiveness of the proposed methodology.
U2 - 10.3182/20140824-6-ZA-1003.01634
DO - 10.3182/20140824-6-ZA-1003.01634
M3 - Conference contribution
VL - 47
T3 - IFAC Proceedings Volumes
SP - 6007
EP - 6012
BT - Proceedings of the 19th IFAC World Congress
ER -