Univariate Theory of Functional Connections Applied to Component Constraints Academic Article

abstract

• This work presents a methodology to derive analytical functionals, with embedded linear constraints among the components of a vector (e.g., coordinates) that is a function a single variable (e.g., time). This work prepares the background necessary for the indirect solution of optimal control problems via the application of the Pontryagin Maximum Principle. The methodology presented is part of the univariate Theory of Functional Connections that has been developed to solve constrained optimization problems. To increase the clarity and practical aspects of the proposed method, the work is mostly presented via examples of applications rather than via rigorous mathematical definitions and proofs.

authors

• Mortari, Daniele

published proceedings

• MATHEMATICAL AND COMPUTATIONAL APPLICATIONS

author list (cited authors)

• Mortari, D., & Furfaro, R.

citation count

• 1

complete list of authors

• Mortari, Daniele||Furfaro, Roberto

publication date

• January 2021

publisher

• MDPI  Publisher

published in

• Mathematical and Computational Applications  Journal

keywords

• Constraint Optimization
• Functional Interpolation
• Indirect Optimal Control

Digital Object Identifier (DOI)

• 10.3390/mca26010009

start page

• 9

end page

• 9

volume

• 26

issue

• 1

URL

• http://dx.doi.org/10.3390/mca26010009