Optimal Control Theory. An Introduction by Donald E. Kirk

Optimal Control Theory. An Introduction Donald E. Kirk ebook
Page: 472
Format: pdf
ISBN: 0486434842, 9780486434841
Publisher: Dover Publications

It will continue with the essential and more advanced techniques based on Functional Analysis and the Calculus of Variations, including an introduction to the finite element method to compute solutions. It demonstrates the potential of applying engineering methods, especially optimal control theory, to facilitate decision making in the complex health care delivery systems. In absence of precognition, an alternative choice is to use optimal stopping and optimal control (see Ferguson's Optimal Stopping and Applications, for a concise theoretical introduction). Kirk D.E., 'Optimal Control Theory – An introduction', Prentice hall, N.J., 1970 2. Theoretical results Mathematical modelling, linear first order transport, d'Alembert's formula, reflection of waves, energy, separation of variables, Fourier series, Sturm-Liouville theory. Applications: Applications: traffic dynamics, optimal control problems. SOLUTIONS MANUAL: Optimal Control Theory An Introduction By Donald E. Sage, A.P., 'Optimum System Control', Prentice Hall N.H., 1968. The purpose of this post is to introduce you to some of the basics of control theory and to introduce the Linear-Quadratic Regulator, an extremely good hammer for solving stabilization problems. Introduction -Decoupling - Time varying optimal control – LQR steady state optimal control. To start with, what do we mean by a control problem? Two compelling problems of public health are studied: (1) how to optimally implement non-pharmaceutical Diffusion terms are introduced to capture the uncertainties in the dynamic of the system. You could do this by being clever and constructing such a controller by hand, but in many cases you would much rather have a computer find the optimal controller. € Optimal M.Gopal, Modern control system theory, New Age International Publishers, 2002.