Optimal Control of a Double Integrator

Arturo Locatelli is Emeritus Professor of Control Theory at Politecnico di Milano, Italy.

“The purpose of this book is to expose the theory and applications of the achievements resulting from first order variational methods. … The book is highly recommended for graduate and advanced undergraduate students in the mathematical and engineering sciences and to scientists and professionals in these fields who are interested in broadening their knowledge of control theory and applications.” (Mihail Voicu, zbMATH 1352.49001, 2017)

• Introduction.- The Maximum Principle.- Integral constraints.- Punctual and isolated constrains.- Punctual and global constraints.- Singular arcs.- Simple constraints: J = ʃ , x(t0) = given.- Simple constraints: J = ʃ , x(t0) = not given.- Simple constraints: J = ʃ + m,… .- Non standard constraints on ... .- Minimum time problems.- References.