Conditions for nonpositive solutions of the linear matrix inequality
- 1 December 1975
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 20 (6) , 804-806
- https://doi.org/10.1109/tac.1975.1101113
Abstract
This correspondence provides a "frequency-domain" condition that is both necessary and sufficient for the existence of a nonpositive solution of the linear matrix inequality of least-squares minimization problems.Keywords
This publication has 4 references indexed in Scilit:
- On the existence of a nonpositive solution to the Riccati equationIEEE Transactions on Automatic Control, 1974
- Hyperstability of Control SystemsPublished by Springer Nature ,1973
- Dissipative dynamical systems Part II: Linear systems with quadratic supply ratesArchive for Rational Mechanics and Analysis, 1972
- Least squares stationary optimal control and the algebraic Riccati equationIEEE Transactions on Automatic Control, 1971