دانلود کتاب Direct methods in control problems

فهرست مطالب :

Preface......Page 6
Contents......Page 8
Introduction......Page 10
Chapter 1 Minimization of Functionals: Generalities......Page 13
Chapter 2 Derivatives and Solutions......Page 18
Chapter 3 Inverse and Implicit Functions......Page 26
Chapter 4 Minimization of Functionals: Hilbert Spaces......Page 29
Chapter 5 Minimization of Functionals: Uniformly Convex Spaces......Page 37
Chapter 6 Minimization of Functionals: Hilbert Space, 2......Page 46
Chapter 7 Dynamical Control Systems......Page 61
Chapter 8 Optimization of Functionals: Necessary Conditions......Page 83
Chapter 9 Control Problems: Classical Methods......Page 98
Chapter 10 Control Problems: An Existence Theory......Page 127
Chapter 11 Interlude: Variations and Solutions......Page 150
Chapter 12 Approximation I: Generalities......Page 163
Chapter 13 Approximation II: Standard Discretizations......Page 172
Chapter 14 Some Examples......Page 193
Chapter 15 Roads Not Traveled and Future Paths......Page 205
Appendix A Uniformly Convex Spaces......Page 209
Appendix B Operators......Page 215
Appendix C Spectral Theory......Page 241
Appendix D Convexity......Page 261
Appendix E Sobolev Spaces......Page 269
Appendix F Finite Elements......Page 285
References......Page 305
Index......Page 309