|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910480621903321 |
|
|
Autore |
Clarke Francis <1948-> |
|
|
Titolo |
Necessary conditions in dynamic optimization / / Francis Clarke |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , [2005] |
|
©2005 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (130 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 816 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Hamiltonian systems |
Mathematical optimization |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"Volume 173, number 816 (first of 5 numbers)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (pages 105-110) and index. |
|
|
|
|
|
|
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""; |
|
|
|
|