摘要:

A simple mechanical system capable of evaluating the contour integrals involved in the transformation calculations between frequency (or Laplace) and time domains, as developed by the author, is outlined in this paper. Given the frequency response of any linear system, this machine evaluates the transient response. In addition to being useful for such domain transformations, it also analyses periodic functions for their Fourier coefficients.

ISSN:0020-7179    

DOI:10.1080/00207177008905886

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

An exact method of analysis of non-linear systems containing a two-position relay element and a dead-time element is given using the phase-plane concept. Equations of the switching lines for both unsymmetrical and symmetrical relay characteristics are obtained under consideration of the dead time. Expressions to evaluate the period and amplitude of the self-oscillation of the system are derived from the stable limit cycle in the phase plane.

ISSN:0020-7179    

DOI:10.1080/00207177008905887

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A method is proposed for the design of a linear, time-invariant state feedback control for a linear, time-invariant, finite-dimensional system with infinite duration of control (regulator problem), which makes use of only those state variables which are available for measurement, providing that these are sufficient to render the system stable. The expected value vector and the covariance matrix for the initial state are presumed to be known.

ISSN:0020-7179    

DOI:10.1080/00207177008905888

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

In this paper an explicit expression for a general performance index associated with single-input optimal closed-loop systems is derived. Several uses and implications of this expression are discussed.

ISSN:0020-7179    

DOI:10.1080/00207177008905889

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

This paper is concerned with the problem of synthesizing asymptotically stable discrete-time closed-loop linear systems having control vectors of arbitrary order. It is specifically concerned with an examination of the possibility of generalizing a synthesis procedure which was devised by Porter (1960 a) for systems having control and state vectors of the same order.

ISSN:0020-7179    

DOI:10.1080/00207177008905890

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

The bounded energy optimal control problem, for a class of heat conduction systems, is posed. The response of the system is approximated by using the method of moments. This approximation serves for constructing a non-linear integral equation, the solutions of which tire the optimal controls. A method for solving this equation is described and on example illustrates the computational scheme.

ISSN:0020-7179    

DOI:10.1080/00207177008905891

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

摘要:

A method of constructing Liapunov functions for linear time-varying (LTV) systems to conclude asymptotic stability in the large of motions is proposed. The way different Liapunov functions may give different sets of sufficient conditions is analysed. Liapunov functions are formed for certain types of LTV systems which are analogous to non-asymptotically stable linear time-invariant systems, A transformation matrix is found which is useful in the evaluation of Liapunov functions for nth order systems in phase variable form where the coefficient an(t) is zero.

ISSN:0020-7179    

DOI:10.1080/00207177008905892

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177008905893

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177008905894

出版商:Taylor & Francis Group    

年代:1970

数据来源: Taylor