Robust strict dissipativeness analysis for affinely uncertain singular systems

This paper mainly deals with the problem of robust strict dissipativeness analysis for singular systems with affine uncertainty. By means of linear matrix inequalities (LMIs), a sufficient condition is given to guarantee the generalized quadratic stability and strict dissipativeness of the affinely uncertain singular systems, in which the total number of LMIs to be solved is a polynomial function of the number of the uncertain parameters. Moreover, in order to release the coupling among the system coefficient matrices and the unknown matrices in LMIs, two other sufficient LMI-based conditions are presented by introducing some slack variables. The relationships among the above three conditions are also analyzed. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.