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Filtering for stochastic processes with applications to guidance

TLDR
This chapter discusses filter theory, applications, and applications of filter theory and modeling techniques for free flight and powered flight navigation, and error analyses and sub-optimal modeling.
Abstract
Part I. Theory: Ordinary differential equations and stability Random processes and stochastic models Observability and controllability Filtering theory Global theory of filtering Stochastic stability Optimal filtering for correlated noise processes Approximate optimal non-linear filtering Optimum filtering for discrete time random processes Stochastic control Open questions and historical comments Part II. Applications: Application to navigation Applications of filter theory and modeling techniques Free flight and powered flight navigation Error analyses and sub-optimal modeling Errors in the filtering process Appendix A. Least squares curve fitting Appendix B. Probability review References Appendix C. The Riccati equation and its bounds Appendix D. Further references Index.

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Citations
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An Introduction to the Kalman Filter

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Journal ArticleDOI

A view of three decades of linear filtering theory

TL;DR: Developments in the theory of linear least-squares estimation in the last thirty years or so are outlined and particular attention is paid to early mathematica[ work in the field and to more modern developments showing some of the many connections between least-Squares filtering and other fields.