03047nam 2200577 450 991048062190332120170822131706.01-4704-0417-6(CKB)3360000000465000(EBL)3114154(SSID)ssj0000973378(PQKBManifestationID)11553114(PQKBTitleCode)TC0000973378(PQKBWorkID)10959876(PQKB)11462710(MiAaPQ)EBC3114154(PPN)195417038(EXLCZ)99336000000046500020040903h20052005 uy| 0engur|n|---|||||txtccrNecessary conditions in dynamic optimization /Francis ClarkeProvidence, Rhode Island :American Mathematical Society,[2005]©20051 online resource (130 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 816"Volume 173, number 816 (first of 5 numbers)."0-8218-3591-2 Includes bibliographical references (pages 105-110) and index.""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""Memoirs of the American Mathematical Society ;no. 816.Hamiltonian systemsMathematical optimizationElectronic books.Hamiltonian systems.Mathematical optimization.510 s515/.39Clarke Francis1948-30972MiAaPQMiAaPQMiAaPQBOOK9910480621903321Necessary conditions in dynamic optimization2182582UNINA