摘要:

Polynomial matrices play an important part in linear system calculations. New computational procedures are given for calculation of the Smith normal form and the greatest common right divisor of polynomial matrices. It is shown how suitable transformation matrices can be determined for the calculation of the Smith normal form, and how a set of polynomial matrix multipliers can be calculated for the greatest common right divisor problem. Neither of these algorithms relies on explicit calculation of the greate3t common divisor of polynomials. Limited numerical experience has shown that the3e algorithms are both fast and accurate.

ISSN:0020-7721    

DOI:10.1080/00207727408920109

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

A complotely new algorithm for calculating a state space minimal realization of a rational transfer function matrix is given. Tho algorithm consists of four major steps : calculation of the least common denominators of the columns of the transfer function matrix ; calculation of the greatest common right divisor of two polynomial matrices ; factoring the divisor from the two matrices ; and expansion of the resulting relatively right prime matrices into constant matrices. The transfer function matrix need not be proper and the result of the calculations leaves the polynomial part of the transfer function matrix unaltered, thus allowing a useful check on the accuracy of the computations to be incorporated. The results of several examples show that this new algorithm is superior in terms of computing time to other methods and is very accurate.

ISSN:0020-7721    

DOI:10.1080/00207727408920110

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

Increased awareness of problems apparent only at systems level has led to development of general systems models. This paper presents an approach to modelling industrial systems as a hierarchy of subsystems. The model includes customers, production units and competitors, and is suitable for optimizing the allocation of resources in constrained situations.

ISSN:0020-7721    

DOI:10.1080/00207727408920111

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

This paper contains a brief review of the recent literature on economic applications of optimal control theory. It is not a comprehensive review, rather it serves to illustrate the assertion made in the title. Pursuit of an analytical solution confines the economic theorist to a narrow class of problems : termed here as the ' single differential equation model world '. Empirical economists searching for linear decision rule3 are also restricting themselves to a narrow class of problems. The adoption of general numerical algorithms would liberate both groups and this may yet prove to be the major contribution of systems theory to economics.

ISSN:0020-7721    

DOI:10.1080/00207727408920112

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

Sufficient conditions for the stability and asymptotic stability of the null solution of a neutral functional differential equation are established. These stability results are obtained by employing the idea of a Lyapunov function which has a strongly negative definite derivative on an annulus, and they represent an extension of the recent work of Haddock (1971).

ISSN:0020-7721    

DOI:10.1080/00207727408920113

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

Most modern computers with very few exceptions operate on the binary number system, This paper suggests a new generation of computer systems capable of performing computations in many number systems. At the present, a modern computer handles numbers other than binary through encoding prior to performing the arithmetic operations. The converting processes of encoding and decoding are both wasteful and time consuming. The proposed system is able to carry out computations in a given radix without conversions. In order to operate on a specific number system a radix control can be preset to the desired value, the computer is then converted instantly to be of that radix. In general, a number system is formed basically from counting with proper carry or carries to be generated when a desired radix is reached. High speed pulse counting with a controllable and variable carry producing mechanism is thus the most direct and efficient approach for the implementation of a variable radix computer system. In essence, a high speed electronic variable radix computer is a counterpart of a mechanical calculator which would consist of essentially wheels with number of teeth variable. This paper attempts to lay the basic and the most essential foundation necessary for such a versatile system. Similar to the conventional systems, the addition of numhers in an arbitrary radix can be performed by the use of a variable radix adder ; and the subtraction by the addition of the (R -l)'s complement, where R is the radix. Multiplication can be carried out by repeated additions and the division by the cyclic subtractions. The chosen number representation will be presented in the paper first and then the formuli, which are given either in simple expressions or in the compact series forms, for the basic arithmetic operations. In addition, numerical examples in various radices are given for the readers to ponder and enjoy.

ISSN:0020-7721    

DOI:10.1080/00207727408920114

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

In this paper, first the necessity of some improvements on Zadeh's State Axioms is discussed, then the concept of ' Equivalence Classes of Inputs ' (the major tool of the behavioural approach) is used to investigate the properties of Reduced and Half-Reduced State Descriptions.

ISSN:0020-7721    

DOI:10.1080/00207727408920115

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

This paper presents a method of designing a minimax filter in the presence of large plant uncertainties and constraints on the mean squared values of the estimates. The minimax filtering problem is reformulated in the framework of a deterministic optimal control problem and the method of solution employed, invokes the matrix Minimum Principle. The constrained linear filter and its relation to singular control problems has been illustrated. For the class of problems considered here it is shown that the filter can he constrained separately after carrying out the mini maximization. Numorieal examples are presented to illustrate the results.

ISSN:0020-7721    

DOI:10.1080/00207727408920116

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

Coordinability of a multi-level decision-making system is one of the most fundamenta concepts in hierarchical systems theory. The definition of coordinability according to Mesarovic et al. is stated. By means of an example it is demonstrated that that definition may load to anomalous results, in that a decision-making system may be coordinable by that definition and yet intuitively seem uncoordinable. To remedy this situation a modified definition of coordinability is proposed.

ISSN:0020-7721    

DOI:10.1080/00207727408920117

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

A non-linear model, construed as a generalized version of the models put forth earlier for the study of bi-state social interaction processes, is proposed in this study. The feasibility of deriving the dynamics of such processes is demonstrated by establishing equivalence between the non-linear model and a higher order linear model.

ISSN:0020-7721    

DOI:10.1080/00207727408920118

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor