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A novel method for the determination of controller parameters in a broad class of linear control systems affected by time-delays is presented. This method is based on an appropriate shaping of the spectrum of the closed-loop system. Its application follows two steps. First, a number of rightmost poles, smaller than the number of controller parameters, are(More)
The stability theory for linear neutral equations subjected to delay perturbations is addressed. It is assumed that the delays cannot necessarily vary independently of each other, but depend on a possibly smaller number of independent parameters. As a main result necessary and sufficient conditions for strong stability are derived along with bounds on the(More)
The paper deals with a novel method of control system design which applies meromor-phic transfer functions as models for retarded linear time delay systems. After introducing an auxiliary state model a finite-spectrum observer is designed to close a stabilizing state feedback. The observer finite spectrum is the key to implement a state feedback(More)
The objective of the paper is to overcome the conventional restriction to the field of rational functions in the algebraic design of control systems. By combining a shift of the undesirable poles to the left with an extension of an inverse-based affine parameterization approach, an algebraic solution to time-delay system stabilization and control is opened(More)
Two original algorithms for computing the roots of low order quasipolynomials are introduced in the paper. The first algorithm is based on Weyl's construction combined with argument principle rule. The second algorithm is based on quasipolynomial function mapping in the complex plane. Both algorithms provide the approximate positions of the roots located(More)