Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207720500089317
Title: Delay-dependent stability and stabilizability of uncertain jump bilinear stochastic systems with mode-dependent time-delays
Authors: Guan, Z.-H.
Chen, W.-H.
Xu, J. 
Keywords: Delay-dependent stability
Jump bilinear stochastic systems
Linear matrix inequality (LMI)
Norm-bounded uncertainty
Time-delay systems
Issue Date: 15-Apr-2005
Source: Guan, Z.-H., Chen, W.-H., Xu, J. (2005-04-15). Delay-dependent stability and stabilizability of uncertain jump bilinear stochastic systems with mode-dependent time-delays. International Journal of Systems Science 36 (5) : 275-285. ScholarBank@NUS Repository. https://doi.org/10.1080/00207720500089317
Abstract: This paper considers the problems of robust stability and robust stabilizability for a class of uncertain jump bilinear stochastic systems with mode-dependent time delays. By transforming the jump system under consideration into an equivalent descriptor jump system, a new stochastic Lyapunov functional is introduced for stability analysis and control design. Novel delay-dependent sufficient conditions in terms of linear matrix inequalities are derived for robust stability and robust stabilizability. Two numerical examples are given for the illustration of the proposed theoretical results. © 2005 Taylor & Francis Group Ltd.
Source Title: International Journal of Systems Science
URI: http://scholarbank.nus.edu.sg/handle/10635/55517
ISSN: 00207721
DOI: 10.1080/00207720500089317
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