摘要:

In recent times there has been some convergence of apparently disparate disciplines like engineering on one hand and social sciences on the other. A portable philosophy of systems analysis and design has evolved through progressive development from loop and node equations to state-space equations, from electrical networks to other physical systems, and from technological systems to transportation and economic systems. This paper addresses itself to the philosophy underlying the modelling side of system theory techniques that are sufficiently powerful to have important application in the planning, operation and control of complex large-scale systems required by modern society.

ISSN:0020-7721    

DOI:10.1080/00207727108920173

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

A class of countercurrent and co-current discrete exchange systems is considered, and the problems of solution and interpolation investigated in terms of discrete Fourier expansions. A method is developed to accommodate transport in either direction within a common, framework, which conveniently yields spatial spectra of the distributed system. This solution is applicable to a wide range of systems that exhibit properties of transport and transfer.

ISSN:0020-7721    

DOI:10.1080/00207727108920174

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

The concept of generalized polynomial operators is introduced and applied to the theory of non-linear systems. Several properties similar to those previously derived for systems described e.g. by Volterra functional series are studied. The main attention is given to inverting of the operators in question. A local inverse is constructed and the region where it is valid is determined. The construction is applied to solving of certain types of non-linear differential equations and to seeking sufficient conditions for BIBO stability of the corresponding systems.

ISSN:0020-7721    

DOI:10.1080/00207727108920175

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

A method of solution of multipoint boundary value problems in linear systems is presented. This is a significant generalization of two-point boundary value problems. Inexact and/or exact boundary conditions are allowed and the inexact ones are met in a least square sense. A scalar indication of the ‘ goodness ’ of the superposition and numerical integration procedures is introduced.

ISSN:0020-7721    

DOI:10.1080/00207727108920176

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

A method of solution of multipoint boundary value problems in non-linear systems is presented. Inverse problems, system identification, and parameter estimation are generally special eases of this method.

ISSN:0020-7721    

DOI:10.1080/00207727108920177

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

An iterative method, with convergence of any desired finite order, for computing the generalized inverseA+and the associated projectionsAA+andA+Afor any matrixAis developed. The method uses an upper bound on the maximum eigen-value ofAAast; (orA*A). It is also shown that the trace of a sequence of approximations toAA+(orA+A) converges to the rank ofA. Finally, examples are given illustrating the computation of the generalized inverse and rank.

ISSN:0020-7721    

DOI:10.1080/00207727108920178

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

The trajectory bounds of simple and large-scale interconnected discontinuous systems are treated within a stability framework. In doing so, stability is defined in terms ofpre-specifiedsubsets of the state space over an infinite time interval (practical stability) and over a finite time interval (finite time stability). The discontinuous systems considered are those which are described by ordinary discontinuous differential equations which may be autonomous or non-autonomous, linear or non-linear, unforced or under the influence of persistent disturbances, simple or interconnected. In all cases it is assumed that the differential equation possesses solutions in the sense of Filippov.

ISSN:0020-7721    

DOI:10.1080/00207727108920179

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

From the Convex addition of two independent stochastic vectors, one of them being the output of a Markov chain, the convex stochastic model is defined. Emphasis is on the Moore version of the model. Response equations are given. The relation between this model and the stochastic sequential machine is found. Paralleling the ideas used in systems approach a zero input machine is defined, which plays a very important role in determining the special characteristics of the convex stochastic machine. Equivalence, state minimization, and asymptotic behavior are among the problems discussed.

ISSN:0020-7721    

DOI:10.1080/00207727108920180

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor