✦ LIBER ✦

Necessary Conditions for Optimal Control Problems Involving Nonlinear Differential Algebraic Equations

✍ Scribed by M.do R de Pinho; R.B Vinter

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 302 KB
Volume: 212
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5523

No coin nor oath required. For personal study only.

✦ Synopsis

Dynamic models which take the form of a coupled set of differential and Ž . 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.

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