Necessary conditions for optimal control problems involving nonlinear differential algebraic equations

• Author(s): M. do R. de Pinho ; R. B. Vinter
• Date: 1997
• Persistent ID: https://hdl.handle.net/10216/99628
• Origin: Repositório Aberto da Universidade do Porto
• Subject(s): Análise matemática; Mathematical analysis
• Document Type: Journal article
• Language: English

Description

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.