A new condition for finite time boundedness analysis

In this paper, a new condition for finite time boundedness analysis is presented. Firstly, a brief discussion of the available conditions found in the literature and comparisons between them regarding computational efficiency and conservatism are presented. Then, a new condition expressed in terms of linear matrix inequalities (LMIs) is derived using Finsler׳s lemma. The proposed condition is proved to be less conservative than LMI conditions previously presented in the literature, and its efficiency is illustrated with numerical examples.