Stochastic Differential Systems I : Filtering and Control A Function Space Approach
by A. V. Balakrishnan
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.