Publications

Haya H Al Muhannadi
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Keeping options open: An optimal control model with trajectories that reach a DNSS point in positive time

Author(s): Zeiler, I (Zeiler, Irmgard); Caulkins, JP (Caulkins, Jonathan P.); Grass, D (Grass, Dieter); Tragler, G (Tragler, Gernot)

The so-called DNSS points of indifference are of interest because they give decision makers in optimal control problems a choice between following either of two or more trajectories while still achieving optimality. Usually they are described in terms of initial conditions, so that if the system starts at a DNSS point, the decision maker can proceed in either of two or more directions. Here we present a model that has an entire curve of indifference points away from which the decision maker can move in only one direction but does so by choosing either of two trajectories that initially coincide in the state space but later diverge, approaching different long-run steady states.

Author(s):  Zeiler, I (Zeiler, Irmgard); Caulkins, JP (Caulkins, Jonathan P.); Grass, D (Grass, Dieter); Tragler, G (Tragler, Gernot)
Source:  SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 48 (6): 3698-3707 2010
Language:  English
Document Type:  Article
Author Keywords:  optimal control; DNSS point; SI infection models
KeyWords Plus:  CONCAVE PRODUCTION FUNCTION; HIV TRANSMISSION; BEHAVIOR-CHANGE; OPTIMAL-GROWTH; DYNAMICS; EXAMPLES; PATHS; AIDS
Addresses:  [Zeiler, Irmgard; Grass, Dieter; Tragler, Gernot] Vienna Univ Technol, Dept Math Methods Econ, A-1040 Vienna, Austria; [Caulkins, Jonathan P.] Carnegie Mellon Univ, Qatar Campus & Heinz Coll, Pittsburgh, PA 15213 USA
Reprint Address:  Zeiler, I, Arsenal Res, Giefinggasse 2, A-1210 Vienna, Austria.
Funding Agency:  Austrian Science Fund (FWF) - Qatar National Research Fund - Robert Wood Johnson Foundation
Publisher:  SIAM PUBLICATIONS
Publisher Address:  3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA
ISSN:  0363-0129
29-char Source Abbrev.:  SIAM J CONTR OPTIMIZAT
ISO Source Abbrev.:  SIAM J. Control Optim.
Subject Category:  Automation & Control Systems; Mathematics, Applied
ISI Document Delivery No.:  605RR
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