Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-06-01

Journal: IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION

Included Journals: EI、SCIE

Volume: 30

Issue: 2

Page Number: 155-168

ISSN: 0265-0754

Key Words: linear matrix inequalities; reliable passivity and passification; singular Markovian systems

Abstract: This paper investigates the problems of reliable passivity and passification for a singular Markovian system with actuator failure. Using the Lyapunov approach, two sufficient conditions are given in terms of linear matrix inequalities (LMIs) such that a singular Markovian system is stochastically admissible and passive. Moreover, the existence of the established state-feedback controller is given in terms of strict LMIs. Finally, a numerical example is used to demonstrate the effectiveness of the given theoretical results.