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- W2392989427 abstract "This paper presents the Kalman-Yakubovich Lemma with emphasis on the equivalent relationship between frequency-domain conditions and those of state-space form. Based on these relationships, some important theorems in modern control theory such as Positive Real Lemma, Bounded Real Lemma, and Popov criterion can be derived directly, as illustrated in this paper. The frequency criterion for the solvability of an algebraic Riccati equation is also derived. Because of the recent development of the LMI method, the equivalent relationship between frequency-domain and state-space becomes the outstanding feature of the Frequency Theorem. The derivations presented in this paper can serve as examples for new applications." @default.
- W2392989427 created "2016-06-24" @default.
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- W2392989427 date "2002-01-01" @default.
- W2392989427 modified "2023-09-24" @default.
- W2392989427 title "The Frequency Theorem in control theory: Kalman- Yakubovich lemma" @default.
- W2392989427 hasPublicationYear "2002" @default.
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