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— In this paper, we investigate the possibility of designing an observer for a class of continuous-time dynam-ical systems with non-uniformly sampled measurements. More specifically, we propose an observer with a time varying gain witch converges exponentially under some conditions on the sampling partition diameter. The proposed observer is an impulsive(More)
— In this paper, we give sufficient conditions which guarantee the existence of a diffeomorphism in an extended state space that allows to transform a multi-output nonlinear dynamical system into a nonlinear normal observable canonical form. In particular, we propose an algorithm that permits to derive such diffeomorphism. The main feature of the canonical(More)
This article introduces the concept of output observer to chaos synchronisation applications. Here output observer is understood as a low order system designed to estimate a single measured variable of a higher order system only. In this work we show how this notion can be used to evaluate nonlinear systems with single output, being a chaotic state variable(More)
— In this paper, we first propose an algorithm that permits to derive a transformation allowing to transform a con-trollable pair into the Extended Jordan Controllable Canonical (EJCC) form. The proposed EJCC form is, in fact, an extension of the Brunovsky and the Jordan form. Next, by duality we derive an algorithm that permits to transform an observable(More)
987 off O such that (x1(0); x2(0)) 6 = (0; 0), x3(0) > 0, the corresponding trajectory is bounded, but its positive limit set is the unit circle on O, and therefore it is not a subset of 0; see Fig. 2. In conclusion, 0 is not attractive for the closed-loop system (and neither is it stable). This example illustrates the fact that, when 0 V 01 (0) is compact,(More)