摘要:

The interval polynomial set proves to be an effective tool to deal with systems stability under bounded parameter perturbations. Based on the value set idea and vector operations in the complex plane, some early results on robust 𝒟 -slability of the interval polynomial set are improved. Extreme point results for some typical stability regions, including the relative stability region, the δ -operator stability region and the damping requirements stability region, are presented. Critical vertex polynomials with respect to each stability region are constructed, and some connections between these critical vertex polynomials have been established. The number of critical vertex polynomials is shown to be a cubic function of the order of the interval polynomial set. Explicit formulae for such numbers associated with each stability region have been derived. These results are then used to obtain extreme point results for robust 𝒟 -stabilization of the interval rational function set. Illustrative examples are also presented

ISSN:0020-7721    

DOI:10.1080/00207729408928979

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

A stochastic optimal stopping and optimal control problem concerning the dynamic routeing of a randomly perturbed flow is considered. Equations for the solution of the optimal stopping and control problem are given. These equations lead to the solution of an elliptic problem with a given condition on a ‘ free boundary’ within a given domainDand a condition given on the boundary ∂ D of D. An example is given and a numerical study is conducted on it

ISSN:0020-7721    

DOI:10.1080/00207729408928980

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

The selection problem in a system consisting of a flexible manufacturing cell,Lproduction lines and an assembly machine is discussed. The flexible manufacturing cell feeds the production lines, and the production lines feed the assembly machine. The selection problem is dealt with here by using the theory of optimal stochastic switching with switching costs

ISSN:0020-7721    

DOI:10.1080/00207729408928981

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

Five scheduling problems are considered, concerning unit-length independent tasks and uniform machines. New improved optimal algorithms are presented that can solve these problems in at most O( n log n) time, where n is the number of tasks. The existing algorithms solve most of these problems in O( n3) time. Proofs of optimality of the present algorithms are included, and simple representative examples are provided that illustrate the type of results obtained

ISSN:0020-7721    

DOI:10.1080/00207729408928982

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

The problem of nonlinearity detection in system identification is treated. A probabilistic approach is taken which facilitates the analysis and enables the treatment of both strong and weak nonlinearities. The analysis shows that third- and fourth-order cumulants of the system output can be used to detect the existence of system nonlinearities, and to characterize their type

ISSN:0020-7721    

DOI:10.1080/00207729408928983

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

Necessary and sufficient conditions are obtained for absolute stability of multi-variable systems whose linear parts have a non-negative impulse matrix. This condition singles out one of the class of systems that satisfies Aizerman' s hypothesis. A new criterion for the non-negativity of the impulse matrix is given

ISSN:0020-7721    

DOI:10.1080/00207729408928984

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor