Toward a notion of canonical form for nonlinear systems

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...

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

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Recasting Nonlinear Differential Equations as S-Systems: A Canonical Nonlinear Form

An enormous variety of nonlinear differential equations and functions have been recast exactly in the canonical form called an S-system. This is a system of nonlinear ordinary differential equations, each with the same structure: the change in a variable is equal to a difference of products of power-law functions. We review the development of S-systems, prove that the minimum for the range of e...

A nonlinear canonical form for reduced order observer design

This paper presents a nonlinear canonical form which is used for the design of a reduced order observer. Sufficient and necessary geometric conditions are given in order to transform a special class of nonlinear systems to the proposed nonlinear canonical form and the corresponding reduced order observer is analyzed.

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