Robust delay-dependent stability of polytopic systems with interval time-varying delay
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KünyeShen, C., Dimirovski, G. M., Jing, Y. & Zheng, Y. (2009). Robust delay-dependent stability of polytopic systems with interval time-varying delay. In 2009 American Control Conference, ACC '09 (pp. 3718-3723). Piscataway, NJ: IEEE. http://dx.doi.org/10.1109/ACC.2009.5159894
This paper concerns the problem of robust stability analysis for a polytopic system with interval time- varying delay via parameter-dependent Lyapunov functions. By a relaxation approach with slack matrices and a descriptor model transformation of the system, the product between Lyapunov variables and the system matrices is eliminated. With this feature, a delay-dependent robust stability criterion is expressed as a set of linear matrix inequalities (LMIs). Compared with the results based on parameter -independent Lyapunov functions, this is promising for less conservatism. Two numerical examples are included to illustrate the effectiveness of the proposed method.