Technical communique: Necessary and sufficient stability condition of fractional-order interval linear systems
作者： Hyo-Sung Ahn , YangQuan Chen
DOI: 10.1016/J.AUTOMATICA.2008.07.003
关键词: Hermitian matrix 、 Mathematics 、 Polynomial interpolation 、 Matrix (mathematics) 、 Interval arithmetic 、 Linear system 、 Robust control 、 Fractional calculus 、 Control theory 、 Pure mathematics 、 Lyapunov function
摘要: This paper establishes a necessary and sufficient stability condition of fractional-order interval linear systems. It is supposed that the system matrix A an uncertain fractional commensurate order belongs to [email protected][email protected]<2. Using existence Hermitian P=P^* for complex Lyapunov inequality, we prove robust stable if only there exists such certain type inequality satisfied all vertex matrices. The results are directly extended polynomial
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