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.
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CITATION STYLE
Razmjooy, N., Ramezani, M., Vieira Estrela, V., Loschi, H. J., & do Nascimento, D. A. (2019). Stability analysis of the interval systems based on linear matrix inequalities. In Smart Innovation, Systems and Technologies (Vol. 140, pp. 371–378). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-16053-1_36
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