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.
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Communicated by F. E. Udwadia
Research of this author partially supported by NSF Grant DMS 9204338.
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Lasiecka, I., Lukes, D. & Pandolfi, L. Input dynamics and nonstandard riccati equations with applications to boundary control of damped wave and plate equations. J Optim Theory Appl 84, 549–574 (1995). https://doi.org/10.1007/BF02191985
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DOI: https://doi.org/10.1007/BF02191985