摘要:

In this paper it is shown that certain results in eigenvalue assignment theory are readily applicable to the problem of determining control policies for economic models of a certain class typified by the dynamic continuous-time multiplier-accelerator model.

ISSN:0020-7721    

DOI:10.1080/00207727108920229

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

Throughout this account, the growing interest in management strategy, as a subject which can be planned, as well as described, by upper-echelon managers has been indicated.

ISSN:0020-7721    

DOI:10.1080/00207727108920230

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

Equivalence of certain classes of non-linear distributed parameter systems of engineering interest, with elasses of linear, distributed/lumped parameter systems is established through differential transformation relations. These differential transformation laws are similar to those used elsewhere in the literature for the study of nonlinear, lumped parameter systems and involve transformations of both the dependent and independent variables.

ISSN:0020-7721    

DOI:10.1080/00207727108920231

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

The necessary and the sufficient conditions for the solution of the equality constrained optimization problem withNvariables and(N−1)constraints are first derived and generalized toNvariables andmconstraints. Directional derivatives are used in the approach. The necessary and sufficient conditions for the problem withN−1 constraints are shown to be equivalent to the unconstrained one-variable problem, when the ordinary derivatives are replaced by the corresponding directional derivatives of the objective function in the direction tangent to the intersection of the constraints. The general equality constrained optimization problem ofNvariables andmconstraints is then analysed using the directional derivative approach. Feasible direction vectors are defined and obtained in terms of first partial derivatives of the constraints. Necessary and sufficient conditions in terms of directional derivatives are derived and their equivalent with results in the literature. Sufficient conditions higher than second order can be also obtained and a Scheeffer type analysis for the solution of this problem can be found.

ISSN:0020-7721    

DOI:10.1080/00207727108920232

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

In introducing the concept of ‘complete self-diagnosability’ two basic structural models are described. The models are intended to realize a diagnostic capability that assures the location of faults not only in the main system but also in the auxiliary system which is meant to diagnose the main system, Necessary conditions for the minimum weight of a completely self-diagnosable system which is made up of a large number of modules arc derived.

ISSN:0020-7721    

DOI:10.1080/00207727108920233

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

An industrial production process is modelled as a discrete-time system with a disturbance input due to sales. The state consists of rates of flow of parts or subassemblies at various work stations, backlogs of parts awaiting processing, and the inventory level of the finished product. The control variables are the man-hours scheduled for various work processes. A quadratic performance criterion is minimized so as to keep state and control variables near desired values. Dynamic programming is used and numerical examples are provided.

ISSN:0020-7721    

DOI:10.1080/00207727108920234

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

Simple, easy-to-apply estimates are obtained for the norms, both Euclidean and generalized, of the solutions of linear time-varying vector differential equations, and for the settling times in systems which are asymptotically stable. Both eigenvalue and Gerschgorin estimates are obtained.

ISSN:0020-7721    

DOI:10.1080/00207727108928520

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

Through the use of the well-known holograph transformations (based on the inversion of the role of dependent and independent variables), a class of non-linear systems represented by a pair of coupled second-order partial differential equations is shown to be reducible to a pair of uncoupled linear systems described by Laplace equations. The inverse functions of the solutions to these Laplace equations represent the solutions of the original equations. Thus, in some sense, the coupled equations representing the given non-linear system can be considered as ’ inverse ’ Laplace equations. It is observed that the hodograph transformation in effect is a decoupling technique ; and, in addition, leads to equivalent linear systems for the class of systems considered.

ISSN:0020-7721    

DOI:10.1080/00207727108920235

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

In recent years numerous definitions of stability having a more quantitative nature than most classical stability definitions have been presented by various investigators. These definitions involve known specific bounds on solutions of tho differential equation in question. In this paper a now type of stability (‘set stability’) is introduced which generalizes upon and in some respects unifies those recent endeavours in ‘ quantitative stability theory ’. The usual ‘Liapunov technique’ is employed in obtaining sufficient conditions for the various forms of set stability.

ISSN:0020-7721    

DOI:10.1080/00207727108910010

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

This paper is concerned with a problem of choosing optimum input test signals for estimating response functions or transfer functions of discrete-time systems. Under the amplitude constraint of signals and some additional appropriate assumptions it is shown that, in the case of identifying response functions, a pseudorandom binary sequence of input signals with as small correlations as possible is optimum in the sense that it maximizes a quantity of information provided by measurements. In the case of estimating unknown coefficients of transfer functions, an optimum scheme of step-by-step choice of input signals is proposed.

ISSN:0020-7721    

DOI:10.1080/00207727108910011

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor