Stochastic Differential Systems I Filtering and Control A Function Space Approach

This book is an outgrowth of a graduate course by the same title given at UCLA (System Science Department). presenting a Functional Analysis approach to Stochastic Filtering and Control Problems. As the writing progressed. several new points of view were developed and as a result the present work is...

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Bibliographic Details
Main Author: Balakrishnan, A. V.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1973, 1973
Edition:1st ed. 1973
Series:Lecture Notes in Economics and Mathematical Systems
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I: Preliminaries: Stochastic Processes
  • II: Linear Stochastic Equations
  • Inducing Measures On C: The Wiener Measure
  • Stochastic Integrals: Linear Case
  • Linear Stochastic Equations
  • III: Conditional Expectation and Martingale Theory
  • IV: Radon-Nikodym Derivatives with Respect to Wiener Measure
  • V: The Ito Integral
  • R-N Derivatives Using Ito Integral
  • VI: Linear Recursive Estimation
  • Time Invariant Systems: Asymptotic Behavior
  • VII: Linear Stochastic Control: Time Invariant Systems
  • Steady State Control: Time Invariant Systems
  • Final Value Problems
  • Tracking Problem
  • Differential Games with Imperfect Information
  • VIII: System Identification
  • Appendix I
  • Appendix II
  • References
  • Suplementary Notes