Characterization of accessibility for a class of nonlinear time-delay systems

Shunjie Li (1) , Claude Moog (2) , Claudia Califano (3)

1 School of mathematics and statistics
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
3 DIS - Dipartimento di Informatica e Sistemistica "Antonio Ruberti"

The accessibility of the class of driftless single-input nonlinear time-delay systems is fully characterized for the first time. This result is obtained through the introduction of new tools within a geometric approach recently introduced in the literature. Moreover, all those possible autonomous elements, which can depend on the variables with time-delay, are also characterized when the system is not accessible and in consequence, a canonical form of those systems is deduced.

Mots clés: delay systems; nonlinear control systems; autonomous element; geometric approach; single-input nonlinear system; time-delay system

Domaines: Automatique

Shunjie Li, Claude Moog, Claudia Califano. Characterization of accessibility for a class of nonlinear time-delay systems. 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), Dec 2011, Orlando, United States. pp.1068 - 1073, ⟨10.1109/CDC.2011.6160906⟩. ⟨hal-00769290⟩