Ai. Ruban et Kt. Utashev, LINEAR-APPROXIMATION IN SENSITIVITY THEORY FOR DELAYED DYNAMIC-MODELS- ITS VALIDITY, Automation and remote control, 57(7), 1996, pp. 946-952
Citations number
9
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Application, Chemistry & Engineering","Instument & Instrumentation","Robotics & Automatic Control
The validity of a linear representation of the increment (by parameter
s) in the output coordinates of smooth retarded dynamic systems is eva
luated in terms of the product of the matrix of first-order sensitivit
y functions and the increment of parameters. The method is based on Be
llman-Cook adjoint equations and second-order sensitivity functions. D
elay in discontinuous dynamic systems is shown to generate new discont
inuity points, in whose neighborhoods linear approximations may not ho
ld.