Stability Analysis of the Interval Systems Based on Linear Matrix Inequalities

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Copyright © 2018 Proceedings of 4th Brazilian Technology Symposium. All Rights Reserved.

Publisher Name: Springer, Cham

Print ISBN: 978-3-030-16052-4 Online ISBN: 978-3-030-16053-1

doi: 10.1007/978-3-030-16053-1_36

Abstract

Positive definiteness and Hurwitz stability of the interval systems are discussed. A linear matrix inequality representation is introduced to simplify the analysis of the interval system. First, it is shown that the interval matrix can be stable if it has 2 conditions. Afterward, they converted to linear matrix inequalities for simplifying the conditions solution. A Lyapunov function is introduced to prove the new representation based on linear matrix inequalities.