دانلود کتاب A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering

فهرست مطالب :

Front Cover......Page 1
Preface......Page 10
Acknowledgments......Page 12
Contents......Page 6
1. Introduction to Functional Analysis in Applications......Page 14
2. Semigroups and Infinitesimal Generators......Page 34
3. Generators......Page 38
4. Adjoint Operators and Dual Spaces......Page 60
5. Gelfand Triple, Sesquilinear Forms, and Lax-Milgram......Page 76
6. Analytic Semigroups......Page 94
7. Abstract Cauchy Problems......Page 108
8. General Second-Order Systems......Page 116
9. Weak Formulations for Second-Order Systems......Page 122
10. Inverse or Parameter Estimation Problems......Page 136
11. \"Weak\" or \"Variational Form\"......Page 150
12. Finite Element Approximations and the Trotter-Kato Theorems......Page 156
13. Delay Systems: Linear and Nonlinear......Page 164
14. Weak* Convergence and the Prohorov Metric in Inverse Problems......Page 190
15. The Prohorov Metric in Optimization and Optimal Design Problems......Page 210
16. Control Theory for Distributed Parameter Systems......Page 232
17. Families of Approximate Control Problems......Page 242
References......Page 254