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Necessary conditions in dynamic optimization / / Francis Clarke
| Necessary conditions in dynamic optimization / / Francis Clarke |
| Autore | Clarke Francis <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Mathematical optimization |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0417-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""1.1 Classical necessary conditions""; ""1.2 Differential inclusions""; ""1.3 Nonsmooth analysis""; ""1.4 Notes""; ""2 Boundary Trajectories""; ""2.1 A preparation theorem""; ""2.2 An integral cost functional""; ""2.3 A general theorem on boundary trajectories""; ""2.4 Proof of the theorem""; ""2.5 Two variants of the theorem""; ""2.6 Notes""; ""3 Differential Inclusions""; ""3.1 Stratified necessary conditions""; ""3.2 On the tempered growth condition""; ""3.3 The case of a weak local minimum""; ""3.4 The second Erdmann condition""
""3.5 Proximal criteria for pseudo-Lipschitzness""""3.6 Notes""; ""4 The Calculus of Variations""; ""4.1 Stratified necessary conditions""; ""4.2 A classical multiplier rule""; ""4.3 Generalized Tonelli-Morrey integrands""; ""4.4 Finite Lagrangians""; ""4.5 Three regularity theorems""; ""4.6 Notes""; ""5 Optimal Control of Vector Fields""; ""5.1 A stratified maximum principle""; ""5.2 Indirect criteria for pseudo-Lipschitzness""; ""5.3 A hybrid maximum principle""; ""5.4 Notes""; ""6 The Hamiltonian inclusion""; ""6.1 Boundary trajectories""; ""6.2 Notes""; ""Bibliography""; ""Index""; ""A"" ""B""""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W"" |
| Record Nr. | UNINA-9910480621903321 |
Clarke Francis <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Necessary conditions in dynamic optimization / / Francis Clarke
| Necessary conditions in dynamic optimization / / Francis Clarke |
| Autore | Clarke Francis <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Mathematical optimization |
| ISBN | 1-4704-0417-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""1.1 Classical necessary conditions""; ""1.2 Differential inclusions""; ""1.3 Nonsmooth analysis""; ""1.4 Notes""; ""2 Boundary Trajectories""; ""2.1 A preparation theorem""; ""2.2 An integral cost functional""; ""2.3 A general theorem on boundary trajectories""; ""2.4 Proof of the theorem""; ""2.5 Two variants of the theorem""; ""2.6 Notes""; ""3 Differential Inclusions""; ""3.1 Stratified necessary conditions""; ""3.2 On the tempered growth condition""; ""3.3 The case of a weak local minimum""; ""3.4 The second Erdmann condition""
""3.5 Proximal criteria for pseudo-Lipschitzness""""3.6 Notes""; ""4 The Calculus of Variations""; ""4.1 Stratified necessary conditions""; ""4.2 A classical multiplier rule""; ""4.3 Generalized Tonelli-Morrey integrands""; ""4.4 Finite Lagrangians""; ""4.5 Three regularity theorems""; ""4.6 Notes""; ""5 Optimal Control of Vector Fields""; ""5.1 A stratified maximum principle""; ""5.2 Indirect criteria for pseudo-Lipschitzness""; ""5.3 A hybrid maximum principle""; ""5.4 Notes""; ""6 The Hamiltonian inclusion""; ""6.1 Boundary trajectories""; ""6.2 Notes""; ""Bibliography""; ""Index""; ""A"" ""B""""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W"" |
| Record Nr. | UNINA-9910788748303321 |
|
Clarke Francis <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Necessary conditions in dynamic optimization / / Francis Clarke
| Necessary conditions in dynamic optimization / / Francis Clarke |
| Autore | Clarke Francis <1948-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hamiltonian systems
Mathematical optimization |
| ISBN | 1-4704-0417-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""1.1 Classical necessary conditions""; ""1.2 Differential inclusions""; ""1.3 Nonsmooth analysis""; ""1.4 Notes""; ""2 Boundary Trajectories""; ""2.1 A preparation theorem""; ""2.2 An integral cost functional""; ""2.3 A general theorem on boundary trajectories""; ""2.4 Proof of the theorem""; ""2.5 Two variants of the theorem""; ""2.6 Notes""; ""3 Differential Inclusions""; ""3.1 Stratified necessary conditions""; ""3.2 On the tempered growth condition""; ""3.3 The case of a weak local minimum""; ""3.4 The second Erdmann condition""
""3.5 Proximal criteria for pseudo-Lipschitzness""""3.6 Notes""; ""4 The Calculus of Variations""; ""4.1 Stratified necessary conditions""; ""4.2 A classical multiplier rule""; ""4.3 Generalized Tonelli-Morrey integrands""; ""4.4 Finite Lagrangians""; ""4.5 Three regularity theorems""; ""4.6 Notes""; ""5 Optimal Control of Vector Fields""; ""5.1 A stratified maximum principle""; ""5.2 Indirect criteria for pseudo-Lipschitzness""; ""5.3 A hybrid maximum principle""; ""5.4 Notes""; ""6 The Hamiltonian inclusion""; ""6.1 Boundary trajectories""; ""6.2 Notes""; ""Bibliography""; ""Index""; ""A"" ""B""""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W"" |
| Record Nr. | UNINA-9910811748503321 |
|
Clarke Francis <1948->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||