optimal control mathematica

The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control.Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems

Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous problems, which introduce additional topics and illustrate basic concepts, appear throughout the text. Solution guide available upon request. 131 figures

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The book is on infinite dimensional linear control systems as models for control processes governed by partial differential equations. ...

Mathematica provides you with the world's largest collection of algorithms in a single system--each able to operate across the widest applicable scope of numeric, symbolic, or graphical input.Mathematica's numerics support any precision or number size across all functions, in contrast to the typical fixed 16-digit limitation found in other computing systems. Without this you may be unable to produce answers accurate even to a small number of digits, as the internal workings of many calculations require much higher-precision input than they produce as output.

A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer

A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer.

Mathematica is a general computing environment, organizing many algorithmic, visualization, and user interface capabilities within a document-like user interface paradigm. It was originally conceived by Stephen Wolfram, developed by a team of mathematicians and programmers that he assembled and led, and it is sold by his company Wolfram Research.

Mathematica - a program designed to perform calculations for the preparation of interactive documents and programming. This tool is used in scientific research, engineering analysis and simulation for training in technical schools.

0273086294Variational inequalities represent an important class of nonlinear problems and occur in the mathematical description of a large variety of physical problems. The most recent method in the study of free boundary value problems arising in filtration, heat conduction and diffusion theory uses a reformulation of these problems as variational inequalities. Quite often these problems arise as controlled systems with specified objectives. Roughly speaking, optimal control is concerned with finding the optimal input controls, within prescribed restrictions, in order to achieve the desired objectives. ...

Optimal control of fluid dynamics is of fundamental importance in aero/hydrodynamic vehicles, combustion control in engines, fire suppression, magnetic fusion, and ocean and atmospheric prediction. This book provides a well-crystalized theory and computational methods for this new field. It is the first and only book to provide a focused presentation of the issues concerning feedback control in viscous hydrodynamics. Engineers, physicists, and mathematicians working in the aforementioned fields will be interested in this book. ...