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Boundary Synchronization for Hyperbolic Systems / / by Tatsien Li, Bopeng Rao
| Boundary Synchronization for Hyperbolic Systems / / by Tatsien Li, Bopeng Rao |
| Autore | Li Tatsien |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 |
| Descrizione fisica | 1 online resource (X, 333 p. 2 illus., 1 illus. in color.) |
| Disciplina | 519 |
| Collana | PNLDE Subseries in Control |
| Soggetto topico |
System theory
Partial differential equations Differential equations Control engineering Systems Theory, Control Partial Differential Equations Ordinary Differential Equations Control and Systems Theory |
| ISBN | 3-030-32849-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction and Overview -- Preliminaries -- Part 1: Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls: Exact Boundary Synchronization -- Exact boundary controllability and non-exact boundary controllability -- Exact boundary synchronization and non-exact boundary synchronization -- Exactly synchronizable states -- Exact boundary synchronization by groups -- Exactly synchronizable states by p-groups -- Part 2: Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls: Approximate Boundary Synchronization -- Approximate boundary synchronization -- Approximate boundary synchronization by p-groups -- Induced approximate boundary synchronization -- Part 3: Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls: Exact Boundary Synchronization -- Exact boundary controllability and non-exact boundary controllability -- Exact boundary synchronization and non-exactly boundary synchronization -- Exact boundary synchronization by p-groups -- Determination of exactly synchronizable states by p-groups -- Part 4: Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls: Approximate Boundary Synchronization -- Approximate boundary null controllability -- Approximate boundary synchronization -- Approximate Boundary Synchronization by p-groups -- Part 5: Synchronization for a Coupled System of Wave Equations with Coupled Robin Boundary Controls: Exact Boundary Synchronization -- Preliminaries on problem (III) and (III0) -- Exact boundary controllability and non-exact boundary controllability -- Exact boundary synchronization -- Determination of exactly synchronizable states -- Exact boundary synchronization by p-groups -- Necessity of the conditions of Cp-compatibility -- Determination of exactly synchronizable states by p-groups -- Part 6. Synchronization for a Coupled System of Wave Equations with Coupled Boundary Controls: Approximate Boundary Synchronization -- Some algebraic lemmas -- Approximate boundary null controllability -- Unique continuation for Robin problem -- Approximate boundary synchronization -- Approximate boundary synchronization by p-groups -- Approximately synchronizable states by p-groups -- Closing remarks. |
| Record Nr. | UNINA-9910360849803321 |
Li Tatsien
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Some problems on nonlinear hyperbolic equations and applications [[electronic resource] /] / editors, Tatsien Li, Yuejun Peng and Bopeng Rao
| Some problems on nonlinear hyperbolic equations and applications [[electronic resource] /] / editors, Tatsien Li, Yuejun Peng and Bopeng Rao |
| Pubbl/distr/stampa | Beijing, : Higher Education Press |
| Descrizione fisica | 1 online resource (400 p.) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
LiDaqian
PengYuejun RaoBopeng |
| Collana | Series in contemporary applied mathematics CAM |
| Soggetto topico |
Differential equations, Nonlinear - Numerical solutions
Differential equations, Hyperbolic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14507-3
9786613145079 981-4322-89-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Mathematical and numerical analyses of strongly nonlinear plasma models -- pt. 2. Exact controllability and observability for quasilinear hyperbolic systems and applications. |
| Record Nr. | UNINA-9910464224803321 |
| Beijing, : Higher Education Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Some problems on nonlinear hyperbolic equations and applications [[electronic resource] /] / editors, Tatsien Li, Yuejun Peng and Bopeng Rao
| Some problems on nonlinear hyperbolic equations and applications [[electronic resource] /] / editors, Tatsien Li, Yuejun Peng and Bopeng Rao |
| Pubbl/distr/stampa | Beijing, : Higher Education Press |
| Descrizione fisica | 1 online resource (400 p.) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
LiDaqian
PengYuejun RaoBopeng |
| Collana | Series in contemporary applied mathematics CAM |
| Soggetto topico |
Differential equations, Nonlinear - Numerical solutions
Differential equations, Hyperbolic |
| ISBN |
1-283-14507-3
9786613145079 981-4322-89-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Mathematical and numerical analyses of strongly nonlinear plasma models -- pt. 2. Exact controllability and observability for quasilinear hyperbolic systems and applications. |
| Record Nr. | UNINA-9910788548103321 |
| Beijing, : Higher Education Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Some problems on nonlinear hyperbolic equations and applications / / editors, Tatsien Li, Yuejun Peng and Bopeng Rao
| Some problems on nonlinear hyperbolic equations and applications / / editors, Tatsien Li, Yuejun Peng and Bopeng Rao |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Beijing, : Higher Education Press |
| Descrizione fisica | 1 online resource (400 p.) |
| Disciplina | 515.35 |
| Altri autori (Persone) |
LiDaqian
PengYuejun RaoBopeng |
| Collana | Series in contemporary applied mathematics CAM |
| Soggetto topico |
Differential equations, Nonlinear - Numerical solutions
Differential equations, Hyperbolic |
| ISBN |
1-283-14507-3
9786613145079 981-4322-89-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Mathematical and numerical analyses of strongly nonlinear plasma models -- pt. 2. Exact controllability and observability for quasilinear hyperbolic systems and applications. |
| Record Nr. | UNINA-9910808298703321 |
| Beijing, : Higher Education Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Synchronization for Wave Equations with Locally Distributed Controls
| Synchronization for Wave Equations with Locally Distributed Controls |
| Autore | Li Tatsien |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore Pte. Limited, , 2024 |
| Descrizione fisica | 1 online resource (199 pages) |
| Altri autori (Persone) | RaoBopeng |
| Collana | Series in Contemporary Mathematics Series |
| ISBN | 981-9709-92-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910865267403321 |
|
Li Tatsien
|
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| Singapore : , : Springer Singapore Pte. Limited, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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