Stochastic Optimal Control

Stochastic Optimal Control
Author: Robert F. Stengel
Publisher: Wiley-Interscience
Total Pages: 662
Release: 1986-09-08
Genre: Mathematics
ISBN:

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Presents techniques for optimizing problems in dynamic systems with terminal and path constraints. Includes optimal feedback control, feedback control for linear systems, and regulator synthesis. Offers iterative methods for solving nonlinear control problems. Demonstrates how to apply optimal control in a practical fashion. Serves as a text for graduate controls courses as offered in aerospace, mechanical and chemical engineering departments.

Stochastic Optimal Control of Structures

Stochastic Optimal Control of Structures
Author: Yongbo Peng
Publisher: Springer
Total Pages: 322
Release: 2019-06-27
Genre: Technology & Engineering
ISBN: 9811367647

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This book proposes, for the first time, a basic formulation for structural control that takes into account the stochastic dynamics induced by engineering excitations in the nature of non-stationary and non-Gaussian processes. Further, it establishes the theory of and methods for stochastic optimal control of randomly-excited engineering structures in the context of probability density evolution methods, such as physically-based stochastic optimal (PSO) control. By logically integrating randomness into control gain, the book helps readers design elegant control systems, mitigate risks in civil engineering structures, and avoid the dilemmas posed by the methods predominantly applied in current practice, such as deterministic control and classical linear quadratic Gaussian (LQG) control associated with nominal white noises.

Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions

Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions
Author: Jingrui Sun
Publisher: Springer Nature
Total Pages: 129
Release: 2020-06-29
Genre: Mathematics
ISBN: 3030209229

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This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. It presents the results in the context of finite and infinite horizon problems, and discusses a number of new and interesting issues. Further, it precisely identifies, for the first time, the interconnections between three well-known, relevant issues – the existence of optimal controls, solvability of the optimality system, and solvability of the associated Riccati equation. Although the content is largely self-contained, readers should have a basic grasp of linear algebra, functional analysis and stochastic ordinary differential equations. The book is mainly intended for senior undergraduate and graduate students majoring in applied mathematics who are interested in stochastic control theory. However, it will also appeal to researchers in other related areas, such as engineering, management, finance/economics and the social sciences.

Linear Stochastic Control Systems

Linear Stochastic Control Systems
Author: Goong Chen
Publisher: CRC Press
Total Pages: 404
Release: 1995-07-12
Genre: Business & Economics
ISBN: 9780849380754

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Linear Stochastic Control Systems presents a thorough description of the mathematical theory and fundamental principles of linear stochastic control systems. Both continuous-time and discrete-time systems are thoroughly covered. Reviews of the modern probability and random processes theories and the Itô stochastic differential equations are provided. Discrete-time stochastic systems theory, optimal estimation and Kalman filtering, and optimal stochastic control theory are studied in detail. A modern treatment of these same topics for continuous-time stochastic control systems is included. The text is written in an easy-to-understand style, and the reader needs only to have a background of elementary real analysis and linear deterministic systems theory to comprehend the subject matter. This graduate textbook is also suitable for self-study, professional training, and as a handy research reference. Linear Stochastic Control Systems is self-contained and provides a step-by-step development of the theory, with many illustrative examples, exercises, and engineering applications.

Nonlinear Stochastic Control Systems

Nonlinear Stochastic Control Systems
Author: Anthony Thomas Fuller
Publisher: Taylor & Francis Group
Total Pages: 476
Release: 1970
Genre: Mathematics
ISBN:

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