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BOX INVARIANCE OF HYBRID AND SWITCHED SYSTEMS
 

Summary: BOX INVARIANCE OF HYBRID AND
SWITCHED SYSTEMS
Alessandro Abate 1
Ashish Tiwari 2
Abstract: This paper investigates the concept of box invariance for classes of hybrid
and switched systems. After motivating and defining the notion, we present a
concise summary of results on its characterization for single-domain dynamical
systems. The notion is then extended to the case of hybrid and switched systems.
We provide sufficient conditions for a hybrid or switched system to be box
invariant. Models of many real systems, especially those drawn from biology,
have been found to be box invariant. This paper illustrates the concept using
a pharmacodynamic model of blood glucose metabolism. Copyright 2006 IFAC
Keywords: Invariant Sets, Hybrid and Switched Dynamical Systems.
1. INTRODUCTION
The concept of box invariance has been re-
cently introduced for classes of dynamical sys-
tems (Abate and Tiwari, 2006). The main moti-
vation for this notion comes from biological case
studies and models that were investigated with
the following question: is the strict concept of

  

Source: Abate, Alessandro - Faculty of Mechanical, Maritime and Materials Engineering, Technische Universiteit Delft

 

Collections: Engineering