Positive and Generalized Positive Real Lemma for Slice Hyperholomorphic Functions
نویسندگان
چکیده
منابع مشابه
The positive real lemma and construction of all realizations of generalized positive rational functions
We here extend the well known Positive Real Lemma (also known as the Kalman-Yakubovich-Popov Lemma) to complex matrix-valued generalized positive rational function, when non-minimal realizations are considered. All state space realizations are partitioned into subsets, each is identified with a set of matrices satisfying the same Lyapunov inclusion. Thus, each subset forms a convex invertible c...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2019
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-019-2503-9