摘要:

Linear time-invariant systems are considered as aggregates of subsystems, which again may be composed of subsystems at a lower level, and so on. No special structure is supposed for the system, apart from that imposed by the method of interconnection. Some basic results are established, and applications made to analogue computers and to electrical networks. In particular it is shown that when a proper n-port impedance matrix can be realized (without ideal transformers) only by using more reactive elements than the McMillan degree would suggest, still the realization may have least order.

ISSN:0020-7179    

DOI:10.1080/00207177408932678

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

In this paper, a design procedure for the synthesis of dead-beat control policies for a class of sampled-data systems with bounded input is presented. The design algorithm is illustrated by a numerical example for a second-order system.

ISSN:0020-7179    

DOI:10.1080/00207177408932679

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

In this paper, a transformation which connects the matrices of the Hermite and Sehur—Cohn criteria– for root distribution is obtained. Based on this transformation, the relationship between the reduced Hermite and reduced Schur–Cohn criteria is also obtained. Furthermore, the transformation which connects the Lienard—Chipart stability criterion and the simplified determinantal stability criterion for the unit circle is derived. Finally, the connection between the inner form of the Hermite and Schur7ndash;Cohn criteria is established.

ISSN:0020-7179    

DOI:10.1080/00207177408932680

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

A method for determining the optimum control for distributed parameter systems is presented. The method is based upon mathematical programming and is restricted to systems which can be represented by discrete time models having coefficients which are functions of the spatial variables. The control function is assumed to be spatially concentrated. A closed form Bolutton is given which is valid when no constraints exist. An illustrative example is provided.

ISSN:0020-7179    

DOI:10.1080/00207177408932681

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

A stability criterion for non-linear multivariable systems with separable linear plants is obtained. Interactions among state variables are allowed. Moreover, each of the non-linearities is allowed to be a function of several state variables.

ISSN:0020-7179    

DOI:10.1080/00207177408932682

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

An equivalence relation, rim–similarity, is defined on the set of all sequences of square matrices of a given fixed dimension. For linear discrete – time systems, theorems are presented which show that certain stability properties are invariant under n∞ similarity. General linear systems as well as those of variational type are considered. Also, sufficient conditions are given which guarantee that the uniform stability of the null solution of a non– linear system carries over to the linear variational equation with respect to this solution. All of these results are analogous to known ones for ordinary differential equations.

ISSN:0020-7179    

DOI:10.1080/00207177408932683

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

The purpose of this paper is to derive some invariance identities for certain discrete systems which are governed by a set of non–linear recurrence relations. The identities are obtained under the assumption that the discrete Lagrangian possesses an invariance under special types of transformations.

ISSN:0020-7179    

DOI:10.1080/00207177408932684

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

The elliptic ball criterion is proved for the discrete-time non-linear feedback control equation p(6) x+ BM(t)q(B)x = 0, in which θxlpar;t) = x( t + 1). It is a geometrical condition for stability and instability which reduces to the well-known circle criterion in. the special case when the matrix M(t) is a scalar. For a certain class of equations the elliptic ball criterion is shown to be both necessary and sufficient for the existence of a special kind of quadratic Lyapunov function. The analogy with differential equations is found to fail in one respect

ISSN:0020-7179    

DOI:10.1080/00207177408932685

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

This paper discusses certain extensions of Smith's method to digital, cascaded and multivariate plants.

ISSN:0020-7179    

DOI:10.1080/00207177408932686

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor

摘要:

The refined elliptic-function method previously developed (Soudack and Barkham 1970) is applied to non-linear non–autonomous systems described by the normalized equation

ISSN:0020-7179    

DOI:10.1080/00207177408932687

出版商:Taylor & Francis Group    

年代:1974

数据来源: Taylor