### Optimization and Systems Theory Seminar

Wednesday, June 4, 2003, 11.00-12.00, Room 3721, Lindstedtsv. 25

**Antonio
Bicchi**

Centro
Interdipartimentale di Ricerca ``Enrico Piaggio''

Università di Pisa

####
Quantized Control Systems and Hybrid Nonholonomy

In this paper we consider a particular class of dynamical systems,
which are characterized by having a continuous state space but a
discrete (quantized) input and/or output set. We will review
applications where such systems are involved, and provide motivations
for using a quantized control system model even for classical
continuous systems.
We will hence discuss the generalization of the classical notion of
nonholonomy of (smooth) constraints as it is known from analytical
mechanics, to a substantially wider set of systems, allowing for
discrete and hybrid (mixed continuous and discrete) configurations and
transitions. We show that the general notion of nonholonomy we are
aiming at implies at least the definition of two different types of
nonholonomic behaviours, which we call "internal" and "external",
respectively. We report on three examples of simple mechanical systems
exhibiting only internal, only external, or both internal and external
nonholonomy, respectively.

Calendar of seminars

*Last update: May 15, 2003 by
Anders Forsgren,
anders.forsgren@math.kth.se.
*