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• W2486315331 abstract "1. IntroductionI. Abstract Theory2. Mathematical Setting and Formulation of the Control Problem2.1. Dynamics and Related Control Problem2.2. Singular Estimate Assumptions2.3. Examples of Point and Boundary Control Models3. Abstract Results for Control Problems with Singular Estimate3.1. Finite Horizon Control Problem - Differential Riccati Equation (DRE)3.2. Infinite Horizon Control Problem - Algebraic Riccati Equations (ARE)4. Finite Horizon Problem - Proofs4.1. Characterization of Optimal Solution4.2. Continuity in Time of Optimal Solutions4.3. Regularity of Evolution (Phi (t,s)) and of Riccati Operator P(t)4.4. Singular Estimate and Left-differentiability for the Evolution Operator4.5. Differential Riccati Equation - DRE4.6. The Function r(t)II. Applications to Point and Boundary Control Problems5. Boundary Control Problems for Thermoelastic Plates5.1. PDE Model5.2. Semigroup Formulation5.3. Main Result5.4. Proof of Theorem 5.16. Composite Beam Models with Boundary Control6.1. PDE Model and Main Results6.2. Transformations of the Model6.3. Semigroup Formulation6.4. Singular Estimate and Completion and Proper Proof of Theorem 6.17. Point and Boundary Control Problems in Acoustic-structure Interactions7.1. Description of the Model7.2. Semigroup Formulation7.3. Finite Horizon Control Problem7.4. Infinite Horizon Control ProblemReferences" @default.
• W2486315331 created "2016-08-23" @default.
• W2486315331 creator A5053756814 @default.
• W2486315331 date "2004-01-01" @default.
• W2486315331 modified "2023-09-25" @default.
• W2486315331 title "Optimal Control Problems and Riccati Equations for Systems with Unbounded Controls and Partially Analytic Generators-Applications to Boundary and Point Control Problems" @default.
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• W2486315331 doi "https://doi.org/10.1007/978-3-540-44653-8_3" @default.
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