Synchronization for Wave Equations with Locally Distributed Controls

• Autore: Li Tatsien
• Pubblicazione: Singapore : , : Springer Singapore Pte. Limited, , 2024; ©2024
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (199 pages)
• Altri autori: RaoBopeng
• Nota di contenuto: Intro -- Preface -- Contents -- 1 Introduction -- References -- 2 Algebraic Preliminaries -- References -- Part I System of Wave Equations with Internal Controls -- 3 Approximate Internal Controllability -- 3.1 Internal D-observability -- 3.2 A Uniqueness Theorem -- 3.3 Approximate Internal Controllability -- References -- 4 Indirect Internal Controls -- 4.1 An Algebraic Procedure of Reduction -- 4.2 Mathematical Analysis -- 4.3 Indirect Internal Controls -- References -- 5 Approximate Internal Synchronization -- 5.1 Introduction -- 5.2 Approximate Internal Synchronization -- 5.3 Condition of C1-Compatibility -- 5.4 Internal Pinning Synchronization -- References -- 6 Approximate Internal Synchronization by Groups -- 6.1 Approximate Internal Synchronization by Groups -- 6.2 Condition of Cp-Compatibility -- 6.3 Induced Internal Synchronization -- 6.4 Stability of Approximate Internal Synchronization by Groups -- 6.5 Stability of Approximate Internal Synchronization by Groups (Continued) -- 6.6 Internal Pinning Synchronization by Groups -- References -- 7 Exact Internal Controllability -- 7.1 Introduction -- 7.2 Exact Internal Controllability -- 7.2.1 Exact Internal Controllability -- 7.2.2 Proof of Theorem 7.2 -- 7.3 Non Exact Internal Controllability -- 7.4 Approximate Internal Controllability (Continued) -- References -- 8 Exact Internal Synchronization -- 8.1 Exact Internal Synchronization -- 8.2 Exactly Synchronizable State -- 9 Stability of Exact Internal Synchronization -- 9.1 Pre-synchronized State -- 9.2 Attainable Set of Exact Internal Synchronization -- 9.3 Stability of Exact Internal Synchronization -- References -- 10 Exact Internal Synchronization by Groups -- 10.1 Exact Internal Synchronization by Groups -- 10.2 Exactly Synchronizable State by Groups -- Reference -- 11 Stability of Exact Internal Synchronization by Groups. ; 11.1 Pre-synchronized State by Groups -- 11.2 Attainable Set of Exact Internal Synchronization by Groups -- 11.3 Stability of Exact Internal Synchronization by Groups -- 11.4 Comments -- References -- 12 Family of Exact Internal Synchronizations -- 12.1 Generalized Synchronization -- 12.2 Family of Exact Internal Synchronizations -- References -- Part II System of Wave Equations with Mixed Internal and Boundary Controls -- 13 Approximate Mixed Controllability -- 13.1 Introduction -- 13.2 A Uniqueness Theorem -- 13.3 Approximate Mixed Controllability -- References -- 14 Approximate Mixed Synchronization by Groups -- 14.1 Approximate Mixed Synchronization by Groups -- 14.2 Approximate Mixed Synchronization by Groups (Continued) -- 14.3 Condition of Cp-compatibility -- 14.4 Induced Mixed Synchronization -- 14.5 Stability of Approximate Mixed Synchronization by Groups -- 14.6 Mixed Pinning Synchronization -- References -- 15 Exact Mixed Controllability -- 15.1 Exact Mixed Controllability -- 15.2 Non Exact Mixed Controllability -- References -- 16 Exact Mixed Synchronization by Groups -- 16.1 Exact Mixed Synchronization by Groups -- 16.2 Condition of Cp-compatibility -- 16.3 Attainable Set of the Exact Mixed Synchronization by Groups -- 16.4 Stability of Exact Mixed Synchronization by Groups -- References -- Index.
• Titolo autorizzato: Synchronization for Wave Equations with Locally Distributed Controls
• ISBN: 981-9709-92-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910865267403321
• Lo trovi qui: Univ. Federico II
• Serie: Series in Contemporary Mathematics Series