摘要:

It is shown that all the elements in an arbitrary regular Routh array can be obtained from minors of a single suitably defined observability (or controllability) matrix. This provides an alternative to the Bézoutian matrices of a previous paper. Similar expressions for the minors of Bézoutian-type matrices associated with generalized polynomials are also derived. This enables the Routh array for generalized polynomials to be obtained directly without conversion of the polynomials to power form.

ISSN:0020-7179    

DOI:10.1080/00207177808922486

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

Conditions under which a matrix overR[s, z]is equivalent, to its Smith form are investigated. These conditions involve the concept of zeros of a matrix overR[s, z]which has not been previously encountered in this context.

ISSN:0020-7179    

DOI:10.1080/00207177808922487

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

Several types of controllability have been defined for linear constant delay-differential systems. Certain necessary and sufficient conditions involving a form of ‘ controllability matrix ’ for these systems are investigated. Particular reference is made to the concept of ℛn-controllability.

ISSN:0020-7179    

DOI:10.1080/00207177808922488

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

An algorithm for the solution of optimal control problems with singular subarcs is presented. The modified quasilinearization is extended to the solution of those problems where the initial conditions are updated successively. A major advantage of the quasilinearization method is its rapidity of convergence despite its simplicity in programming. It is not necessary to introduce penalty functions for the treatment of boundary conditions. An illustrative example is presented.

ISSN:0020-7179    

DOI:10.1080/00207177808922489

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

Some eubmodules of the module of formal power series are studied and a lifting theorem derived. The results are applied to the analysis of simulation of linear systems and this in turn to study a problem of factorization of matrix polynomials.

ISSN:0020-7179    

DOI:10.1080/00207177808922490

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The problem of describing a dynamic system with random excitation is discussed. A differential equation of any realistic dynamic system has higher derivatives with small coefficients. Besides, the random excitation is not a ‘ white ’ noise, it is a ‘ coloured ’ noise with a small but finite correlation interval. Therefore the system can be described by a many-dimensional Markov process having increased the dimension of the state variable vector. It is found that the Markov process can be reduced if the characteristic time in the system is very long compared with both small parameters and correlation interval in the random forcing. The reduced Markov process can also be represented as a solution of some stochastic differential equation under white-noise excitation. The accuracy of the reduction is illustrated by a numerical example.

ISSN:0020-7179    

DOI:10.1080/00207177808922491

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The effect of an integral feedback loop on the performance of a non-linear plant regulated by a linear-quadratic-gaussian controller is investigated. It is shown that such a loop can be designed to greatly reduce the nominal equilibrium errors, which would otherwise result when operating conditions or plant parameters change, without significantly degrading the optimal regulator performance. The theory for such a controller (OPCON + SST) and its application to a towed sonar vehicle are discussed.

ISSN:0020-7179    

DOI:10.1080/00207177808922492

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

A discrete-time fast regulator with fast observer is considered in this paper. The system is assumed as a linear time-invariant nth order r-input, m-output system. Complete controllability and complete observability are assumed. No assumptions are made on the non-singularity of the system matrix and integrality of n/r and n/m. It is shown that the fast regulator with fast observer transfers any initial state to the origin within the number of steps equal to the sum of observability and controllability indices. Simple design methods for fast regulator and fast observer are presented. Also, it is illustrated geometrically how the state point is transferred to a subspace with successively decreased dimension for each step until it arrives at the origin.

ISSN:0020-7179    

DOI:10.1080/00207177808922493

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The problem of designing an observer to reconstruct the state vector of a linear multivariable system for a general class of unmeasurable and inaccessible disturbance inputs is considered. Existence of an observer is determined by a set of necessary and sufficient conditions which are related to the structure of the system and disturbance model. A minimal-order observer is presented along with an outline of some currently available synthesis techniques.

ISSN:0020-7179    

DOI:10.1080/00207177808922494

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

From an extension of the predictive property of separable random processes it is shown that the output from a linear filter, when subjected to a signal of this class as input, remains a separable process.

ISSN:0020-7179    

DOI:10.1080/00207177808922495

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor