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A less conservative LMI condition for finite time stability of LTI systems

The paper addresses the finite time stability analysis of continuous-time LTI systems. Based on its definition, the necessary and sufficient condition can be easily derived. Since verification of the condition is almost impossible because it requires computation at an infinite numbers of time points, a set of more efficient and practical LMI-based conditions for solving the problem is obtained. The concept of partitioning the time interval initially addressed for finite time stability is further exploited and a new set of LMIs are proposed with its less conservativeness being theoretically proved. Simple examples are used to illustrate the improvement of the proposed approach.