Delay-dependent stability and stabilizability of uncertain jump bilinear stochastic systems with mode-dependent time-delays

作者：Guan, ZH^*; Chen, WH; Xu, JX

来源：International Journal of Systems Science, 2005, 36(5): 275-285.

DOI：10.1080/00207720500089317

• jump bilinear stochastic systems
• delay-dependent stability
• norm-bounded uncertainty
• linear matrix inequality (LMI)
• time-delay systems

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.

• 出版日期2005-4-15
• 单位广西大学