Strictly Positive Real Condition and Pseudo-Strictly Positive Real Condition
نویسندگان
چکیده
منابع مشابه
Strictly Positive Real Matrices and the Lefschetz - Kalman - Yakubovich Lemma
In this note we give necessary and sufficient conditions in the frequency domain for rational matrices to be strictly positive real. Based on this result, the matrix form of the Lefschetz-KalmanYakubovich lemma i s proved, which gives necessary and sufficient conditions for strictly positive real transfer matrices in the state-space realization form.
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Strict positive realness (SPR) is an important concept in absolute stability theory, adaptive control, system identification, etc. This paper characterizes the strictly positive real (SPR) regions in coefficient space and presents a robust design method for SPR transfer functions. We first introduce the concepts of SPR regions and weak SPR regions and show that the SPR region associated with a ...
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Abstract. If f(t) = ∑∞ k=0 akt k converges for all t ∈ IR with all coefficients ak ≥ 0, then the function f(< x,y >) is positive definite on H ×H for any inner product space H. Set K = {k : ak > 0}. We show that f(< x,y >) is strictly positive definite if and only if K contains the index 0 plus an infinite number of even integers and an infinite number of odd integers.
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1989
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.25.751