ALMOST SURE AND DELTA-MOMENT STABILITY OF JUMP LINEAR-SYSTEMS

Authors
FANG YG LOPARO KA FENG XB
Citation
Yg. Fang et al., ALMOST SURE AND DELTA-MOMENT STABILITY OF JUMP LINEAR-SYSTEMS, International Journal of Control, 59(5), 1994, pp. 1281-1307
Citations number
26
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
Journal title
International Journal of Control → ACNP
ISSN journal
00207179
Volume
59
Issue
5
Year of publication
1994
Pages
1281 - 1307
Database
ISI
SICI code
0020-7179(1994)59:5<1281:ASADSO>2.0.ZU;2-K
Abstract
In this paper, we study the almost sure-stability and delta-moment sta bility of discrete-time jump linear systems with a finite state form p rocess. Criteria for almost sure and delta-moment stability, which are necessary and sufficient conditions for (scalar) one-dimensional syst ems, are derived. The relationship between almost sure and delta-momen t stability for (scalar) one-dimensional systems is also presented. If the system matrices commute, necessary and sufficient conditions for almost sure stability are obtained.