Input dynamics and nonstandard riccati equations with applications to boundary control of damped wave and plate equations
Abstract
An optimization problem for a control system governed by an analytic generator with unbounded control actions is considered. The solution to this problem is synthesized in terms of the Riccati operator, arising from a nonstandard Riccati equation. Solvability and uniqueness of the solutions to this Riccati equation are established. This theory is applied to a boundary control problem governed by damped wave and plate equations. © 1995 Plenum Publishing Corporation.
Publication Title
Journal of Optimization Theory and Applications
Recommended Citation
Lasiecka, I., Lukes, D., & Pandolfi, L. (1995). Input dynamics and nonstandard riccati equations with applications to boundary control of damped wave and plate equations. Journal of Optimization Theory and Applications, 84 (3), 549-574. https://doi.org/10.1007/BF02191985
