Passivity Theorem on Pseudo-Strictly Positive Real Condition
نویسندگان
چکیده
منابع مشابه
Strictly Positive Definite Functions on a Real Inner Product Space
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: 1996
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.32.1183