Informatica

Part II deals with the design problem of generalized linear controllers for linear systems with after-effect so that the resulting closed-loop system is globally uniformly asymptotically stable in the Lyapunov's sense. The controllers are universal in the sense that they include the usual delays (namely, point, distributed and mixed point-distributed delays) which can be finite, infinite or even time-varying. The stability is formulated in terms of sufficient conditions depending, in general, on the system parameters and delays. It is shown that a stabilizing controller can be designed by using the well-known Kronecker product of matrices provided that a stabilizing controller exists in the absence of external (or, input) delay.

This paper deals with the design problem of generalized linear controllers for linear systems with after-effect so that the resulting closed-loop system is globally uniformly asymptotically stable in the Lyapunov's sense. The controllers are universal in the sense that they include the usual delays (namely, point, distributed and mixed point-distributed delays) which can be finite, infinite or even time-varying. In Part I of the paper, some preliminary concepts and results on stabilizability are given.

This paper investigates the progress made in the field of dynamic systems with delays over the last two decades. In particular, it is focused on the simulation and control techniques, which include also modelling, numerical solvability and stabilization procedures.

Control laws' design strategies are developed to stabilize a class of BIBO integro-differential systems with two distributed delays by using an extended system.

Control laws' design strategies in order to stabilize a class of linear delay-differential systems are developed by using the matrix measure. A new measure, the delay measure, is introduced in order to clarify and formalize the results.