On the triangular canonical form for uniformly observable controlled systems

On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form

Input Selection in Observer Design for Non-Uniformly Observable Systems

In this paper the problem of inputs in observer design for systems which are not uniformly observable is considered. It is emphasized how it amounts to a control problem, which can be solved in a general way by some appropriate optimization approach. This is illustrated on the basis of a quite general Kalman-like observer form possibly with high gain, as well as related simulation results on an...

A triangular canonical form for a class of 0-flat nonlinear systems

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On the observer canonical form for Nonlinear Time-Delay Systems

Necessary and sufficient geometric conditions for the equivalence of a nonlinear time– delay system with one output, under bicausal change of coordinates and output transformation, to a linear weakly observable time–delay system up to output injection are given. These conditions are derived through the use of the Extended Lie Bracket operator recently introduced in the literature for dealing wi...

Determining the order of minimal realization of descriptor systems without use of the Weierstrass canonical form

A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present ...