1980 19th IEEE Conference on Decision and Controlâ€¦

1980

This paper deals with a class of nonlinear systems, linear with respect to the inputs. A necessary and sufficient condition of observability for any input function is obtained. A canonical form is given.

-Some results concerning the constrained receding horizon formulation with infinite and truncated prediction horizon are presented. In this formulation a distinction is made between prediction and control horizons. The main result is a generalization of a known fact for linear systems, namely that, under certain technical requirements, the asymptoticâ€¦ (More)

A condition is presented for the existence and the uniqueness of a global minimal analytic realization of a nonlinear analytic input-output mapping, when the latter is defined on an open subset of the semigroup of the inputs defined for positive times. The state space of this realization is exhibited as a quotient space of a Riemann surface on a Lie group.

In this paper, we propose a transform which seems to be an adequate tool for pattern analysis, specially when motions are involved. We make some numerical investigations around this transform, which is closely related to the standard 2-D Fourier transform.

The main result is relative to the quotient of a manifold M by a closed discrete equivalence relation when the First homotopy group of M has no infinite order element. As a direct consequence of the main theorem, the existence and uniqueness of minimal realizations is proved for a class of CÂ¿ completely controllable weakly observable systems. This extends :â€¦ (More)