摘要:

Non-linear filtering problems are being recognized more arid more as significant. Generally, an exact solution is not available but must be approximated. However, this paper gives the exact non-linear filter associated with identifying a scalar stochastic dynamical system,dx(t)/dt=ax(t)+ξ(t), disturbed by gaussian white noise ξ(t) when the system statex(t) is observed in an additive gaussian white noise environment, i.e.z(t)=x(t)+η(t) is observed over the interval of time 0≤t≤T<∞. The plant parameter,a, is assumed to have the prior probability densityPA.(a). The solution, is obtained by giving the conditional probability density functionalp(a\z(t), 0≤t≤T<∞). The minimum mean-square-error estimate, that is, the Bayes estimate or conditional expectation, is given along with the minimum-mean-square-error. Limiting cases are described.

ISSN:0020-7179    

DOI:10.1080/00207176708921821

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

In this paper the stability problem for n general class of non-linear feedback control systems governed by parabolic partial differential equations is considered. Sufficient conditions for asymptotic stability are derived by the method of comparison functions. Two classes of feedback control systems are considered. The basic tool in the analysis is the Westphal-Priodi theorem and an extension originally suggested by Szarski. The main results are applied to an illustrative example.

ISSN:0020-7179    

DOI:10.1080/00207176708921822

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

The use of fast-time models to implement minimum time control policies is considered for two distinct modes of operation. The first case considered is that in which the fast model operates from current process state, or output, towards desired process state, or input. This forward searching model enables estimates to be made of future process behaviour based upon currently applied control signals.

ISSN:0020-7179    

DOI:10.1080/00207176708921823

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

The present paper is concerned with the problem of three-level economic NAND synthesis of general Boolean functions. It is shown that a. given Boolean function is first decomposed into a set of sub-functions, called φ functions. From a study of the properties of φ functions a method is finally suggested for three-level synthesis of Boolean functions with a fewer number of NAND gates. A method of finding the minimal three-level NAND solution for a given irredundant prime implicant cover of any Boolean function is also suggested.

ISSN:0020-7179    

DOI:10.1080/00207176708921824

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

A method of using quantization to reduce the computation required in regression analysis is described. The method gives unbiased estimates even if coarse quantization is used; however, the variance of the estimates is increased, the increase depending on the quantization size. The method would seem to be of most use where small computers are used to collect data for the purpose of fitting regression models.

ISSN:0020-7179    

DOI:10.1080/00207176708921825

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

An algorithm is developed for finding the minimum number of vertices ωs,twhose removal from a directed graphGbreaks all directed paths from a given vertexsto a given vertext. The algorithm is performed onGwithout any modification of its structure and entails examining each vertex at mostrtimes with 2ωs,t ≥ rand, in practice, almost always with ωs,t ≥ r.

ISSN:0020-7179    

DOI:10.1080/00207176708921826

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor

摘要:

The paper proves a theorem which states that for input signal sources of probabilities:p(s) = 2−l, one can find an optimal encoding procedure.

ISSN:0020-7179    

DOI:10.1080/00207176708921827

出版商:Taylor & Francis Group    

年代:1967

数据来源: Taylor