Necessary conditions for optimal control problems involving nonlinear differential algebraic equations

• Type: Article in International Scientific Journal
• Date: 1997

Authors

Maria do Rosário de Pinho (Author) FEUP; Vinter, RB (Author) Other

Journal

Title: Journal of Mathematical Analysis and Applications

Vol. 212 No. 2

Pages: 493-516

ISSN: 0022-247X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 44 Citations

Other information

Authenticus ID: P-00K-WGS

DOI: 10.1006/jmaa.1997.5523

Abstract (EN): Dynamic models which take the form of a coupled set of differential and algebraic equations (DAEs) are widely used in process systems engineering. Necessary conditions of optimality for optimal control problems involving such models are derived. A strong Maximum Principle is obtained under a convexity hypothesis on the velocity set. An example illustrates that the strong Maximal Principle may be violated when this hypothesis is dropped. For problems involving nonconvex velocity sets, however, a weak Maximum Principle is valid. (C) 1997 Academic Press.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24