On the Maximum Principle for a Class of Discrete Dynamical Systems with Lags

Journal of Optimization Theory and Applications, Vol. 19, No. 3, pp. 445-454, July 1976

Management Sciences Research Report No. 262

10 Pages Posted: 21 Jun 2009 Last revised: 31 Jan 2019

See all articles by C.A. Burdet

C.A. Burdet

Carnegie Mellon University

Suresh Sethi

University of Texas at Dallas - Naveen Jindal School of Management

Date Written: November 1, 1971

Abstract

A maximum principle for a class of discrete systems with lags is established constructively within the framework of discrete optimal control theory. An application of the maximum principle to a problem in advertising concludes the paper.

PDF Version: Sethi, S.P. and Burdet, C.-A., "On the Maximum Principle for Discrete Dynamical Systems with Lags," Management Sciences Research Report No. 262, GSIA, Carnegie-Mellon University, November 1971.

Keywords: Necessary conditions, advertising models, discrete maximum principle, directional convexity, optimal control

JEL Classification: C61, M37

Suggested Citation

Burdet, C.A. and Sethi, Suresh, On the Maximum Principle for a Class of Discrete Dynamical Systems with Lags (November 1, 1971). Journal of Optimization Theory and Applications, Vol. 19, No. 3, pp. 445-454, July 1976, Management Sciences Research Report No. 262, Available at SSRN: https://ssrn.com/abstract=1421460

C.A. Burdet

Carnegie Mellon University

Pittsburgh, PA 15213-3890
United States

Suresh Sethi (Contact Author)

University of Texas at Dallas - Naveen Jindal School of Management ( email )

800 W. Campbell Road, SM30
Richardson, TX 75080-3021
United States

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