摘要:

Tho input-output decoupling problem of non-linear multivariablo systems with multiple delays in the state and/or the control vector is treated. Two examples are worked out to illustrate tho theory.

ISSN:0020-7721    

DOI:10.1080/00207727408920097

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

The optimization of a class of linear deterministic time-invariant multi-dimonsional distributed parameter control systems is presented. Both unconstrained and constrained, optimizations are formulated as two-point boundary value problems. A conjugate gradient method of solution is proposed. The theory is applied to a two-du(iensional heat conduction system by way of an example.

ISSN:0020-7721    

DOI:10.1080/00207727408920098

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

A criterion is given which is sufficient for the characteristic roots to remain within the semi-plane Rc (λ)<0. It is not necessary to find the roots of transcendental equation but, the traditional Gorshgorin criterion for each t≥t0, together with another condition are sufficient to determine the stability of tho IJ.G.M. systems. Dopplor effects due to variable time delays in Sandborg's non-linear model is being considered.

ISSN:0020-7721    

DOI:10.1080/00207727408920099

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

Linear time invariant multivariable systems whose parameters do not satisfy the necessary and sufficient conditions for complete decoupling aro considered. Systems aro considered whoso parameters are such that the decoupling matrix is singular. It is shown that it is still possible to approximately decouplo the system in the sense that r of the system's m scalar input-output pairs are completely decoupled, while the remaining m — r scalar input-output pairs remain coupled. It is further shown that the degree of decoupling possiblo depends on the rank of the decoupling matrix. A lemma is stated and proved that shows the existence of a decoupling scheme that decouples tho system to the extent that the output, yi, is dependent on at most the input m;(. if i≤r.

ISSN:0020-7721    

DOI:10.1080/00207727408920100

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

A mathematical model of social interaction in the form of two coupler! first-order non-linear differential equations, forms the topic of this study. This non-conservative model io representative of such varied social interaction problems as coexisting sub-populations of two different species, arms race between two rival countries and the like. Differential transformation techniques developed elsewhere in the literature are seen to be effective tools of dynamic analysis of this non-linear non-conservative mode! of social interaction process.

ISSN:0020-7721    

DOI:10.1080/00207727408920101

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

The singular perturbation theory for free-time optimal control problems is developed, introducing a scaling parameter as an additional parameter, and then extended to eontrol-mequality constraints.

ISSN:0020-7721    

DOI:10.1080/00207727408920102

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

In a previous paper (Murthy 1973) wo discussed various methods for estimating the parnmoters using sample eovariances. In this note we suggest a. method for obtaining thu optimum number of covarianco9 to bo used in the estimation.

ISSN:0020-7721    

DOI:10.1080/00207727408920103

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

In this paper it ia shown that certain problems of optimal (feedback) control of stochastic systems can be reduced to an optimal control problem of a class of nonstandard distributed parameter systems (with controls appearing in the coefficients). Fixed time problems reduce to optimal control problems of distributed parameter system with Canchy condition and Markov time problems reduce to those with first boundary condition. (Il'In, Kalashnikov and Oleinik 1962, p. 40.)

ISSN:0020-7721    

DOI:10.1080/00207727408920104

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

Kor stabilizing an economic policy, sensitivity considerations are found essential. Various types of sensitivities that we come across in the theory of optimal economie growth are stated and a unified approach of sensitivity reduction in tho Ramsey planning problems is given. An example is provided for illustration.

ISSN:0020-7721    

DOI:10.1080/00207727408920105

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

Two digital methods are proposed for the solution of the time-domain approximation problem. Tho first method, based on a reeursivo algorithm for tho matrix pseudo-iriverso, determines the pulse transfer function of a discrete-timo system of a prescribed order providing the best fit in tho least squares sense at tho samplo points. Tho continuous-time system transfer function is then derived by using a simple transformation provided that tho sampling frequence oxeeeds tho Nyquist rate. Tho method is direct and computationally efficient. The second method is based on using an offieiont gradient search algorithm providing the best fit in the leastpti sense at tho samplo points. A number of examples illustrato the methods

ISSN:0020-7721    

DOI:10.1080/00207727408920106

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor