摘要:

A rational generalization of the quasi-linearizing technique for estimating parameter values of continuous non-linear differential systems of known structure is presented. For linear time invariant systems it is shown that the procedure is capable of obtaining the system matrices.

ISSN:0020-7179    

DOI:10.1080/00207176808905624

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

A linear amplifier, a clipping circuit and a differentiating network, connected in regenerative mode, produce discontinuous oscillations. Such a circuit can be successfully used for generation of square waves of frequency varying over a fairly wide range. The paper presents an analysis and design features of a square wave generator using the above technique. Practical circuits using both C—R and R—L differentiating networks have been given and test results have been discussed.

ISSN:0020-7179    

DOI:10.1080/00207176808905625

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

Technique are derived for the synthesis of sub-optimal feedback controls for parabolic and first-order hyperbolic systems. An explicit result for the time-invariant gain of a specified controller is obtained by a least square approximation of the closed-loop control to the optimal open-loop control. If a least square approximation of the state trajectories is used, a parameter search is shown to give the time-invariant gain. A time-varying gain can be obtained by a re-definition of the original optimal control problem, again with the controller functionality specified. The only require-mont in the closed-loop synthesis is that an optimal open-loop solution exists and is computable.

ISSN:0020-7179    

DOI:10.1080/00207176808905626

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

In this paper, two criteria are proved for the asymptotic stability of linear systems with a time-dependent element. Both criteria are derived from a general Liapunov function. The first criterion can be considered as a bridge between the Nyquist criterion for time-invariant systems, and the circle criterion for time-dependent feedback systems. This is achieved by restricting the instantaneous rate of change of the time-varying gain. In the second criterion, only the global behaviour of the non-stationary feedback element is restricted.

ISSN:0020-7179    

DOI:10.1080/00207176808905627

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

This paper is in two parts. The first part treats the optimal control of a linear stochastic system with a. quadratic performance criterion. An explicit solution for the cost functional is given. The second port deals with the optimal filtering of the linear system considered in the first part. Modifications in the filtering equation have been made for the case in which the observation noise is of the truncated white noise type. An explicit solution for the a posteriori density function, defined by the filtering equation, is given. The paper concludes with a numerical solution to both the optimal control and the filtering problem associated with a six-plate chemical absorption tower.

ISSN:0020-7179    

DOI:10.1080/00207176808905628

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

By supplying regularity conditions, two new connection theorems relating con-strained maximization problems are proven.

ISSN:0020-7179    

DOI:10.1080/00207176808905629

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

An approximation method is developed for nearly linear, first-order stochastic differential equations with additive white noise. The method is based on an asymptotic expansion of eigenfunctions and eigenvalues used to represent the associated transition probability density function. This expansion leads to a uniformly valid expansion for the autocorrelation function which is compared with results obtained by other approximation methods.

ISSN:0020-7179    

DOI:10.1080/00207176808905630

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

Necessary and sufficient conditions are developed for the existence and calculation of well-defined Riccati differential equation solutions associated with quadratic loss minimization problems. Of particular interest is the fact that a. covariance condition is involved. The disclosure of this condition not only extends the range of optimal control problems for which a solution, guaranteed to be well defined, may be calculated, but also introduces an approach for establishing the existence of well-defined solutions in other problems involving covariance conditions, as for example, in a time-varying spectral factorization procedure. This paper is concerned with finite time results, whilo a companion paper considers tho infinite time case.

ISSN:0020-7179    

DOI:10.1080/00207176808905631

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

Necessary and sufficient conditions are developed for the existence and calculation of well-defined Riccati differential equation solutions associated with infinite time quadratic loss minimisation problems.

ISSN:0020-7179    

DOI:10.1080/00207176808905632

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor

摘要:

In n series of earlier papers classical system sensitivity concepts have been generalized to an abstract system setting. In this abstract setting a criteria for reducing system sensitivity through feedback was established, This paper shows that effective design techniques can be developed from the criteria in the domain of non-stationary systems.

ISSN:0020-7179    

DOI:10.1080/00207176808905633

出版商:Taylor & Francis Group    

年代:1968

数据来源: Taylor