| Review: |
In this book the authors show how probability can be used to model uncertainty in control and estimation problems. It is a description in three parts: probability theory and stochastic processes, estimation theory, and stochastic optimal control. There are chapters on: Probability theory; Random variables and stochastic processes; Conditional expectations and discrete-time Kalman filtering; Least squares, the orthogonal projection lemma, and discrete-time Kalman filtering; Stochastic processes and stochastic calculus; Continuous-time Gauss–Markov systems; The extended Kalman filter; A selection of results from estimation theory; Stochastic control and the linear quadratic Gaussian control problem; and Linear exponential Gaussian control and estimation. |