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Table of Contents
Preface; Contents; Acronyms; 1 Controlled Periodic Equations, LQ Problems and Periodic Stabilization; 1.1 Controlled Periodic Evolution Equations; 1.2 Linear Quadratic Optimal Control Problems; 1.2.1 Finite Horizon Case; 1.2.2 Infinite Horizon Case; 1.3 Relation Between Periodic Stabilization and LQ Problems; 2 Criteria on Periodic Stabilization in Infinite Dimensional Cases; 2.1 Attainable Subspaces; 2.2 Three Criterions on Periodic Feedback Stabilization; 2.2.1 Multi-periodic Feedback Stabilization; 2.2.2 Proof of Theorem 2.1; 2.3 Applications
2.3.1 Feedback Realization in Finite Dimensional Subspaces2.3.2 Applications to Heat Equations; 3 Criteria on Periodic Stabilization in Finite Dimensional Cases; 3.1 Null Controllable Subspaces; 3.2 Algebraic Criterion and Application; 3.2.1 The Proof of (a)(c) in Theorem 3.1; 3.2.2 The Proof of (a)(b) in Theorem 3.1; 3.2.3 Decay Rate of Stabilized Equations; 3.3 Geometric Criterion; 4 Design of Simple Control Machines; 4.1 The First Kind of Simple Control Machines; 4.2 The Second Kind of Simple Control Machines
General Case; 4.3 The Second Kind of Simple Control Machines
Special Case
2.3.1 Feedback Realization in Finite Dimensional Subspaces2.3.2 Applications to Heat Equations; 3 Criteria on Periodic Stabilization in Finite Dimensional Cases; 3.1 Null Controllable Subspaces; 3.2 Algebraic Criterion and Application; 3.2.1 The Proof of (a)(c) in Theorem 3.1; 3.2.2 The Proof of (a)(b) in Theorem 3.1; 3.2.3 Decay Rate of Stabilized Equations; 3.3 Geometric Criterion; 4 Design of Simple Control Machines; 4.1 The First Kind of Simple Control Machines; 4.2 The Second Kind of Simple Control Machines
General Case; 4.3 The Second Kind of Simple Control Machines
Special Case