Almost Floquet systems
نویسندگان
چکیده
منابع مشابه
LK-INTERIOR SYSTEMS AS SYSTEMS OF “ALMOST OPEN” L-SETS
We study interior operators and interior structures in a fuzzy setting.We investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.
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The paper transfers some classical results by Floquet from the theory of linear differential equations with periodically varying coefficients to MIMO sampleddata systems. The problem of modal control is formulated for sampled-data systems, and the general solution is given in a polynomial form.
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we study interior operators and interior structures in a fuzzy setting.we investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.
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Floquet theory plays a ubiquitous role in the analysis and control of time-periodic systems. Its main result is that any fundamental matrix X(t, 0) of a linear system with T -periodic coefficients will have a (generally complex) Floquet factorization with one of the two factors being T -periodic. It is also well known that it is always possible to obtain a real Floquet factorization for the fun...
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Lemma 8.4 If C is a n n × matrix with 0 det ≠ C , then, there exists a n n × (complex) matrix B such that C e = . Proof: For any matrix C , there exists an invertible matrix P , s.t. 1 P CP J − = , where J is a Jordan matrix. If C e = , then, 1 1 1 P B P B e P e P P CP J − − − = = = . Therefore, it is suffice to prove the result when C is in a canonical form. Suppose that 1 ( , , ) s C diag C C...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1971
ISSN: 0022-0396
DOI: 10.1016/0022-0396(71)90057-x