Abstract
In this contribution we want to draw the readers’s attention to an open problem that concerns the existence of certain solutions to the algebraic Riccati equation. Since its introduction in control theory by Kalman in the beginning of the sixties, the algebraic Riccati equation has known an impressive range of applications, such as linear quadratic optimal control, stability theory, stochastic filtering and stochastic control, stochastic realization theory, the synthesis of linear passive networks, differential games, and H ∞ optimal control and robust stabilization. For an overview of the existing literature on the algebraic Riccati equation, we refer to [3].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
