Linear Control Theory and Riccati Equations.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The author considers a general quadratic optimization problem for a control system dydt Aty ft Btut in a general Hilbert space setting. The operator Riccati equation which characterizes the optimal control is derived and general existence and regularity theorems are proved. The results have potential application to systems governed by linear partial differential equations, linear differential delay equations, etc.
- Theoretical Mathematics