Offers an introduction to calculus of variations and optimal control theory. Suitable for graduate students in engineering, applied mathematics, and related subjects, this book covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control.
Volume II of "Calculus", contained in this work, presents multi-variable calculus and linear algebra, with applications to differential equations and probability. Volume I, sold separately, presents one-variable calculus with an introduction to linear algebra.
Energy is one of the world's most challenging problems, and power systems are an important aspect of energy related issues. This handbook contains state-of-the-art contributions on power systems modeling and optimization covering all the major topics.
Control theory is a theory that deals with influencing the behavior of dynamical systems and an interdisciplinary sub-field of science, and evolved into use by the social sciences, such as psychology, sociology and criminology. This book presents and discusses topical data on control theory relating to these fields.
The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. This title features lectures that provide mathematical proof of several existence, structure and regularity properties, empirically observed in transportation networks.
Devoted to the study of polynomially convex sets, which play an important role in the theory of functions of several complex variables, this title presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets.
A self-contained discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. The work only requires a knowledge of the elements of Lebesgue integration theory.
The second edition of this text remains accessible to students of engineering and mathematics with varying mathematical backgrounds. Designed for a one-semester course in complex analysis, there is optional review for students who have studied only calculus and differential equations.
Discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. This book also discusses Wolfe-type Duality, Mond-Weir type Duality, and Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems.
Variational inequalities provide the mathematical framework for many nonlinear and non-smooth phenomena in science and engineering. This text for graduate and even undergraduate students treats recent developments in the solution of variational inequalities.