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System characterization of positive real conditionsNecessary and sufficient conditions for positive realness in terms of state space matrices are presented under the assumption of complete controllability and complete observability of square systems with independent inputs. As an alternative to the positive real lemma and to the s-domain inequalities, these conditions provide a recursive algorithm for testing positive realness which result in a set of simple algebraic conditions. By relating the positive real property to the associated variational problem, a unified derivation of necessary and sufficient conditions for optimality of both singular and nonsingular problems is derived.
Document ID
19910011471
Document Type
Contractor Report (CR)
Authors
Wang, Q. (California Univ. Los Angeles., United States)
Speyer, J. L. (California Univ. Los Angeles., United States)
Weiss, H. (Rafael Armament Development Authority Haifa, Israel)
Date Acquired
September 6, 2013
Publication Date
January 1, 1991
Subject Category
COMPUTER PROGRAMMING AND SOFTWARE
Report/Patent Number
NAS 1.26:188113
NASA-CR-188113
Funding Number(s)
CONTRACT_GRANT: F08635-87-K-0417
CONTRACT_GRANT: NCC9-16
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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