Observability of nonlinear control systems on time scales - Sufficient conditions

Abstract

In the paper the problem of observability of nonlinear control systems defined on time scales is studied. For this purpose it is introduced a family of operators which in the continuous-time case coincides with Lie derivatives associated to the given system. Then it is shown that set of functions generated by this operator distinguishes states that are distinguishable. The proved sufficient condition for observability is classical, but it works not only for continuous-time case but also for the other models of time. © 2008 Springer-Verlag Berlin Heidelberg.