摘要:

The switching times for the bang-bang control of linear time-invariant systems are investigated using the complex variable theory of entire functions. A general technique is presented which yields the switching times as the solution to a set of non-linear algebraic equations. Specific results are derived for three types of system transfer functions; (1) real poles—no zeros; (2) real poles and zeros; and (3) complex pole pair— no zeros. The complex pole case requires an algorithm to determine the number of switching times. The principal advantage of this approach is computational simplicity as compared to present iterative techniques.

ISSN:0020-7179    

DOI:10.1080/00207177108932062

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

This paper deals with the direct translation of a new language developed by Brzozowski (which may be called ‘linor-hat’ language) into the conventional form of regular expression. We start from certain expansions for the compact ‘linor-hat’ formulations and arrive at the translation by applying certain lemmas and theorems developed in the paper.

ISSN:0020-7179    

DOI:10.1080/00207177108932063

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

We consider the problem of maximizing the flow from one node to another in an oriented network subject to flow conservation and capacity limitation constraints and the additional constraint that for some nodes a certain positive linear combination of flows entering the node is bounded. Several properties of solutions to this problem are developed and a heuristic method for its solution is presented.

ISSN:0020-7179    

DOI:10.1080/00207177108932064

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

Though dynamic programming is an excellent and versatile algorithm, there are many cases in which we cannot apply this algorithm favourably to control system design because of the limited capacity of a digital computer and other difficulties.

ISSN:0020-7179    

DOI:10.1080/00207177108932065

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

This paper deals with the optimum design of linear multivariate sampled-data control systems,

ISSN:0020-7179    

DOI:10.1080/00207177108932066

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

摘要:

An increasing familiarity of power system engineers with frequency domain techniques has motivated the search for stability criteria for power systems that could be applied in the frequency domain. Following the advent of phase plane methods for second -order systems and the second method of Lyapunov, the Popov method gained popularity. This investigation attempts to apply an extension of Popov's method to determine the transient stability of a single machine infinite bus system under a large transient disturbance. Circle criterion provides simple rules for examining both the linear and non-linear portions of the power system in the frequency domain and for arriving at conditions to be imposed on these portions in order to ensure absolute stability. An upper and lower bound is established for the non-linear gain by treating the system's mathematical model as a set of non-linear algebraic equations and limiting values of gains are estimated by solving these equations. A numerical example is solved to illustrate the method of approach.

ISSN:0020-7179    

DOI:10.1080/00207177108932067

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177108932068

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177108932069

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177108932070

出版商:Taylor & Francis Group    

年代:1971

数据来源: Taylor