摘要:

User-oriented computer programmes in FORTRAN IV for discrete least pth approximation with a single specified function, and more generalized discrete least pth approximation with various specifications, which may also be used for non-linear programming, are presented. Values of p up to 10" can be used successfully in conjunction with efficient gradient minimization algorithms such as the Fletcher-Powell method and a method due to Fletcher. It has been demonstrated how efficiently extremely near minimax results can be achieved on a discrete sot of sample points using this approach and the programmes written verify this. The programmes may be applied to a wide variety of design problems with a wide range of specifications. They are suitable for electrical network and system design and such problems as filter design.

ISSN:0020-7721    

DOI:10.1080/00207727408920149

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

The stability of a quasi-linear system is investigated by assuming stability properties of associated linear systems. By this method, the task of finding suitable Lyapunov functions may be avoided in certain cases.

ISSN:0020-7721    

DOI:10.1080/00207727408920150

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

ISSN:0020-7721    

DOI:10.1080/00207727408920151

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

This paper is the continuation of a preceding one which appeared in this journal, and presented an approach to self-organizing systems based upon information theory. To begin with, some illustrating examples try to show why one can think that the concept of information should play a crucial role in a theory of general systems. Then the concept of ‘ structural entropy ’, and the ‘ evolution principle ’ that we have previously introduced, are improved here in a definitive form. The concept of ‘ information potential ’ is defined and we show that the capacity of an information source is given by the logarithm of its inverse entropy rather than by its negative entropy. Composition laws for the structural entropy are stated and it is shown that these concepts provide an approach to information balance. Some simple examples are outlined to connect this approach with well known existing results.

ISSN:0020-7721    

DOI:10.1080/00207727408920152

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

A unified treatment of filtering in stochastic distributed systems is presented using a function space approach. An infinite-dimensional analogue of the well-known matrix inversion lemma is established and used in developing explicit and computationally efficient representations for the estimate and covariance equations. It also enables us to pursue the analogy to the finite-dimensional case and certain new results are obtained for the case of intermittent measurements. The equations for the case of continuous-time measurements follow easily from the above under passage to the limit. Measurements over the entire region as well as those at a finite number of locations are considered.

ISSN:0020-7721    

DOI:10.1080/00207727408920153

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

In this paper a solution is presented to an important marketing problem : the timing of advertising expenditure. Using a differential equation to model the relationship between the sales and advertising rates and using profit as a criterion, a synthesis of the optimal dynamic advertising policy as a function of the current sales level and length of the campaign is derived. In addition, using profit as a criterion, the profitability under an optimal dynamic advertising policy is compared with the profits obtained using an optimal static policy. It is shown that a significant increase in profits can result from employing the optimal dynamic policy.

ISSN:0020-7721    

DOI:10.1080/00207727408920154

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

When we cannot specify a unique solution minimizing a criterion, we usually introduce another criterion so that we may select a single solution. Like this example, the problem of minimizing a criterion under the condition, that another criterion is minimized, is considered in this paper. We call this condition ' another criterion is minimized ' min-constraint.

ISSN:0020-7721    

DOI:10.1080/00207727408920155

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

ISSN:0020-7721    

DOI:10.1080/00207727408920156

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor