Title :
Coordinates transformations in nonlinear time-delay systems
Author :
Califano, C. ; Moog, C.H.
Author_Institution :
Dipt. di Ing. Inf. Autom. e Gestionale Antonio Ruberti, Univ. di Roma La Sapienza, Rome, Italy
Abstract :
When considering nonlinear time delay systems, the definition of an invertible change of coordinates is no more granted. Starting from a set of n - 1 exact differentials independent over K(δ] in the variables x(t), ..., x(t-sD), with D a constant commensurate delay and x an n dimensional variable, we give necessary and sufficient conditions for the existence of an exact one-form such that to get a basis for spanK(δ]{dx[0]}.
Keywords :
delays; nonlinear control systems; constant commensurate delay; coordinates transformations; dimensional variable; exact differentials; nonlinear time delay systems; Delay effects; Delays; Indexes; Matrix decomposition; Observability; Polynomials; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039426
