2015 article
The Helmholtz Conditions and the Method of Controlled Lagrangians
INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS: LOCAL AND GLOBAL THEORY, pp. 1–29.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
In this chapter we consider the relationship between the classical inverse problem of the calculus of variations and the method of controlled Lagrangians. The latter is a technique for deriving stabilizing feedback controls for nonlinear controlled mechanical systems. It relies on deriving a Lagrangian which describes the feedback controlled dynamics. This is a nontrivial extension to the theory of the inverse problem as it involves controls. We discuss various aspects of both subjects and illustrate the theory with examples.