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Periodic Feedback Stabilization for Linear Periodic Evolution Equations

Periodic Feedback Stabilization for Linear Periodic Evolution Equations

Paperback

Series: Springerbriefs in Mathematics

CalculusGeneral MathematicsGeneral Science

ISBN10: 3319492373
ISBN13: 9783319492377
Publisher: Springer Nature
Published: Feb 20 2017
Pages: 127
Weight: 0.45
Height: 0.30 Width: 6.14 Depth: 9.21
Language: English
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 Applications2.3.1 Feedback realization in finite dimensional subspaces. 2.3.2 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

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