Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network

  Advanced Search  

The reachable set of a linear endogenous switching Claudio Altafini

Summary: The reachable set of a linear endogenous switching
Claudio Altafini
International School for Advanced Studies
via Beirut 2-4, 34014 Trieste, Italy; altafini@sissa.it
August 6, 2002
In this work, switching systems are named endogenous when their switching pattern
is controllable. Linear endogenous switching systems can be considered as a particular
class of bilinear control systems. The key idea is that both types of systems are
equivalent to polysystems i.e. to systems whose flow is piecewise smooth. The reachable
set of a linear endogenous switching system can be studied consequently. The main
result is that, in general, it has the structure of a semigroup, even when the Lie
algebra rank condition is satisfied since the logic inputs cannot reverse the direction
of the flow. The adaptation of existing controllability criteria for bilinear systems is
Keywords: Linear switching systems, bilinear control systems, polysystems, reachability
semigroups, controllability.
1 Introduction


Source: Altafini, Claudio - Functional Analysis Sector, Scuola Internazionale Superiore di Studi Avanzati (SISSA)


Collections: Engineering; Mathematics