By Leonard David Berkovitz,Negash G. Medhin
Nonlinear optimum keep watch over Theory offers a deep, wide-ranging advent to the mathematical conception of the optimum regulate of methods ruled by way of traditional differential equations and sure different types of differential equations with reminiscence. Many examples illustrate the mathematical concerns that must be addressed while utilizing optimum keep watch over concepts in diversified areas.
Drawing on classroom-tested fabric from Purdue collage and North Carolina nation collage, the e-book provides a unified account of bounded kingdom difficulties ruled by means of traditional, integrodifferential, and hold up structures. It additionally discusses Hamilton-Jacobi thought. via offering a adequate and rigorous remedy of finite dimensional keep watch over difficulties, the ebook equips readers with the root to accommodate different kinds of keep watch over difficulties, comparable to these ruled by way of stochastic differential equations, partial differential equations, and differential games.