摘要:

The stability of general dynamical systems is studied from a quantitative viewpoint (involving specific bounds on the system trajectories). Theorems yielding necessary and sufficient conditions for quantitative stability and asymptotic quantitative stability are proven.

ISSN:0020-7721    

DOI:10.1080/00207727108920236

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

A parametric constraint for a general, second-order, linear, non-autonomous system to possess responses expressible in terms of the well-known Bessel functions is presented. In effect, this paper develops a process of synthesis (of systems with a Bessel typo of responses) which can be programmed using algebraic languages to obtain a practical tool of study.

ISSN:0020-7721    

DOI:10.1080/00207727108920237

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

A survey of some elementary macroeconomic models is presented which indicates the potential that exists for the application of control theory in economics. An initial linear model is developed systematically to embrace an increasing degree of economic sophistication leading to a non-linear formulation, the need for which is soon made apparent. Examples are given to demonstrate the use of characteristic root analysis, of the root locus technique to examine parameter sensitivity and of phase plane and stability concepts. At the same time, important economic interpretations which can be drawn from the results are indicated.

ISSN:0020-7721    

DOI:10.1080/00207727108920238

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

In this paper control laws for the direct digital control of cascaded-vehicle systems are derived on the basis of modal control theory. These laws are analogous to these previously obtained by Porter and Crossley (1970) for the continuous-time modal control of such systems.

ISSN:0020-7721    

DOI:10.1080/00207727108920239

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

The use of flow-graph techniques for the analysis of complex feedback systems like those encountered in real life economic problems has met with considerable difficulty in the enumeration of chain graphs. Taking note of a basic feature of such systems, viz. the possibility of categorizing the interacting nodes into distinct classes of nodes, the concept of avectorial flow graphis introduced. The axioms governing such graphs, their properties and the rules of manipulation are described. The analysis of a complex economic system is given as an illustration.

ISSN:0020-7721    

DOI:10.1080/00207727108920240

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

The class of systems treated in this paper are characterized by ft linear deterministic system and a white noise multiplicative gain. Matrix conditions are developed to provide exponential stability with probability one andL2-bounded input—bounded output stability for this class of systems. These conditions are then used to develop a frequency domain criterion for stability with probability one.

ISSN:0020-7721    

DOI:10.1080/00207727108920241

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

In this paper the formalism of set theory is used to determine the constraints which bear upon the synthesis of optimal manufacturing systems to perform given work loads.

ISSN:0020-7721    

DOI:10.1080/00207727108920242

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

The development of a high pressure control system for isostatic compaction processes is described.

ISSN:0020-7721    

DOI:10.1080/00207727108920243

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

A procedure is presented for linear discrete system state estimation in which the observation does not contain additive white noise. The order of the system for estimation is reduced according to the number of noiseless outputs and noiseless output differences (here noiseless implies the absence of white noise). The advantage of this approach is its general application. Unlike earlier methods, it is not necessary for the noise states to be separable or even distinguishable from other system states. A systematic approach to the formulation of the required estimation model from a general system model is presented. The procedure is straightforward but somewhat lengthy to describe for the general problem. However, once the basic scheme is understood, it can be applied without undue difficulty to a large number of problems. For the modified estimation model, required filtering algorithms are derived which are of essentially the same complexity as the usual white noise algorithms. Direct estimation of the original system states, using the reduced order system for calculation of gains and the required error variances, is described. Modelling errors often occur in representing physical systems, and error analysis algorithms are derived. The use of the estimation and error analysis algorithms is demonstrated by examples and the results compared with the usual discrete (augmented states) Kalman filter approach.

ISSN:0020-7721    

DOI:10.1080/00207727108920244

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor