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1.
We consider a resource management problem in which the management objective is to minimize fluctuations in resource stocks. Stabilizing management policies constitute the designing of memoryless state feedback control strategies for a discrete time resource model which contains unknown but bounded fluctuations. We also show that the problem of maximizing sustainable yield in an uncertain fishery can be considered as the problem of stabilizing of the stock level.The paper corresponds to an invited talk at the 14th Symposium on Operations Research, Ulm, September 6–8, 1989.The support by Yrjö Jahnsson Foundation is gratefully acknowledged.This work was supported by NSF and AFOSR under grant ECS 8602524. 相似文献
2.
In Leitmann (Ref. 1), a coordinate transformation method was introduced to obtain global solutions for free problems in the calculus of variations. This direct method was extended and broadened in Carlson (Ref. 2) and later in Leitmann (Ref. 3). The applicability of the original work of Leitmann (Ref. 1) was further developed in Dockner and Leitmann (Ref. 4) to include the class of open-loop dynamic games. In the present work, we improve the results of Ref. 4 in two directions. First, we enlarge the class of open-loop dynamic games to permit coupling among the dynamic equations via the states of the players; second, we incorporate the modifications given in Refs. 2 and 3. Our results greatly increase the applicability of this method. An example arising from the harvesting of a renewable resource is presented to illustrate the utility of our results. 相似文献
3.
In this note, we contrast two transformation-based methods to deduce absolute extrema and the corresponding extremizers. Unlike
variation-based methods, the transformation-based methods of Carlson and Leitmann and the recent one of Silva and Torres are
direct in that they permit obtaining solutions by inspection. 相似文献
4.
G. Leitmann 《Applied mathematics and computation》1995,70(2-3):261-272
We present a controller design methodology for uncertain systems which is based on the constructive use of Lyapunov stability theory. The uncertainties, which are deterministic, are characterized by certain structural conditions and known as well as unknown bounds. As a consequence of the Lyapunov approach, the methodology is not restricted to linear or time-invariant systems. The robustness of these controllers in the presence of singular perturbations is considered. The situation in which the full state of the system is not available for measurement is also considered as are other generalizations. 相似文献
5.
In this paper, we generalize a coordinate transformation method, due to Leitmann (Ref. 1), for free problems in the calculus
of variations to analogous problems with multiple integrals. 相似文献
6.
In a recent paper (Ref. 1), Cheng and Teo discussed some further extensions of a student-related optimal control problem which was originally proposed by Raggettet al. (Ref. 2) and later on modified by Parlar (Ref. 3). In this paper, we treat further extensions of the problem.This paper is a modified and improved version of Ref. 4. It is based, in part, on research sponsored by NSF. 相似文献
7.
Christiane Albrecht Henning Böckemeier Mark Dennis Matthew D. Fletcher Vera Leitmann Richard Rowles Richard A. Stephenson Michael B. Hursthouse 《Tetrahedron letters》2008,49(1):185-188
The cyclisation of N-allyl- and N-homoallylguanidines using DMDO or I2/K2CO2 leading to novel heterocycles is reported. 相似文献
8.
G. Leitmann 《Journal of Optimization Theory and Applications》1973,11(4):405-412
Earlier differential game models of collective bargaining deal only with the strike phase. The model proposed here allows for negotiations without and with a strike.This paper is based on research supported by NSF under Grant No. GP-24205. 相似文献
9.
Ohne Zusammenfassung 相似文献
10.