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- W2811441030 abstract "Matrices which can be identified as system matricescorresponding to (linear constant) multivariable delay-differential systemsare considered. These matrices are extensions of the state-space andpolynomial system matrices which are encountered in connection withmultivariable ordinary differential systems. Whereas these latter matriceshave elements which are polynomials in one variable, the matricesconsidered have elements which are polynomials in two or more variables.The matrices considered are treated in two ways. In the firstapproach the results available for matrices corresponding to ordinarydifferential systems can be readily extended to results for thosecorresponding to delay-differential systems. However, the main intentionis to consider the extension of results without using this approach.Several results are in fact established for the matrices under consideration.Many of these results involve the new concept of zeros of matrices of theform considered.Although the second approach to these matrices is treatedinitially as a purely mathematical exercise, it is then shown that thereis some physical justification for this approach. This is done byconsideration of results concerning the controllability of delay differentialsystems. In fact, the question of controllability of suchsystems is considered in some detail, not simply with a view to justificationof the preceding results. The concept of observability is also considered,but not in the same detail.In the concluding chapter another type of system matrix which can be used in the treatment of delay differential systems isconsidered. Such a matrix is considered in the context of the resultsobtained in the preceding chapters, and the connections between theresults given for this form of system matrix and results previouslyobtained are examined. Again the concepts of controllability andobservability are considered." @default.
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- W2811441030 date "1979-01-01" @default.
- W2811441030 modified "2023-09-27" @default.
- W2811441030 title "Polynomial matrices associated with linear constant multivariable delay-differential systems" @default.
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