摘要:

Time delays frequently occur in electrical and mechanical systems. In addition, systems such as population growth, epidemic growth and neural networks are commonly modelled by delay differential equations. Although it is difficult to investigate time delay systems, we can use the delay matrixL(s) to simplify the problem.

ISSN:0020-7721    

DOI:10.1080/00207728708967114

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

A reduced-order compensatory observer should be appropriately set up to fill the gap between states and observed outputs. In this paper, we use seven polynomial series to approach the reduced-order observer problem. An illustrative numerical example is interpreted to support this technique.

ISSN:0020-7721    

DOI:10.1080/00207728708967115

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

This paper presents a new approach to the analysis of the stability robustness of dynamic systems in state-space models. By continuously perturbing the state matrix, instead of solving the Lyapunov equation, an elegant stability robustness fundamental is derived. Subsequently, the allowable norm bound of the error matrix can be obtained under weakly structured perturbations, and the magnitude bound on individual elements of the error matrix can be obtained under highly structured perturbations. The merits of the theorems and corollary developed are demonstrated by two examples where the results achieved are much better than those already published in the literature. The concept that the perturbed state matrix would depend on the operating frequencies is also introduced.

ISSN:0020-7721    

DOI:10.1080/00207728708967116

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

An optimal control algorithm is derived which minimizes at each time instant the one-stagek-step-ahead performance index for the state-space representation of the CARMA model. Equivalence of the input-output representation in its asymptotic form and in the Clarke-Hastings-James algorithm is proved. Formulae for computing the output and control variances at any time instant for both optimal and asymptotic algorithms are given. The results are illustrated by a numerical example.

ISSN:0020-7721    

DOI:10.1080/00207728708967117

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

A state-space one-stage optimal control problem discussed by Lam (1982) is reexamined. Contradictions found in Lam are resolved by the certainty equivalence approach.

ISSN:0020-7721    

DOI:10.1080/00207728708967118

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor

摘要:

Recent correspondence (Loehle 1985) claiming to ‘refute’ Hirata's (1980) model of material cycling in a closed ecosystem is shown to be in error owing to a fundamental misunderstanding of the model and its aims.

ISSN:0020-7721    

DOI:10.1080/00207728708967119

出版商:Taylor & Francis Group    

年代:1987

数据来源: Taylor