Periodic feedback stabilization for linear periodic evolution equations. ([2016])

• Record Type: Book
• Further Information: Note: Gengsheng Wang, Yashan Xu.
• Authors: Wang, Gengsheng; Xu, Yashan
• 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
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 515/.25; Mathematics; Periodic functions; Evolution equations; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Evolution equations; Periodic functions; Mathematics -- Calculus; Mathematics -- Applied; Mathematics -- Differential Equations; Technology & Engineering -- Mechanical; Calculus of variations; Optimization; Differential calculus & equations; Dynamics & vibration; Systems theory; Mathematical optimization; Differential Equations; Differential equations, partial; Vibration; Science -- System Theory; Cybernetics & systems theory; Electronic books
• Languages: English
• ISBNs: 9783319492384; 3319492381
• Related ISBNs: 9783319492377; 3319492373
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 20, 2017).
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