System characterization of positive real conditions
Open Access
- 1 January 1990
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 348-353 vol.1
- https://doi.org/10.1109/cdc.1990.203610
Abstract
Necessary 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 results in a set of simple algebraic conditions. By relating the positive real property to the associated variational problem, the authors outline a unified derivation of necessary and sufficient conditions for optimality of both singular and nonsingular problems.<>Keywords
This publication has 5 references indexed in Scilit:
- Theory and applications of adaptive control—A surveyAutomatica, 1983
- Dissipative Dynamical Systems: Basic Input-Output and State PropertiesJournal of the Franklin Institute, 1980
- Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theoryInternational Journal of Control, 1976
- Least squares stationary optimal control and the algebraic Riccati equationIEEE Transactions on Automatic Control, 1971
- Necessary and sufficient conditions for optimality for singular control problems: A limit approachJournal of Mathematical Analysis and Applications, 1971