Santesso, Paolo (Univ. of Padua), Valcher, Maria Elena (Univ. of Padova)

Controllability and Reachability of Switched Positive Systems

Scheduled for presentation during the Regular Session "Switched Systems II" (MoP01), Monday, July 24, 2006, 16:10−16:35, Room B2

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

Switched positive systems deserve investigation both for theoretical reasons and for practical applications. Indeed, switching among different system models naturally arises as a way to mathematically formalize the fact that the system laws change under different operating conditions. This is true, e.g., when resorting to compartmental models; each of them may satisfactorily capture the behavior of a physiological system only under specific working conditions, so when these conditions change the system model has to switch to a different structure. For instance, the insulin-sugar metabolism is captured by two different compartmental models: one valid in steady-state and the other (of course, more complex) which is suitable to described the evolution under perturbed conditions, following an oral assumption or an intravenous injection. Analogous comments apply to pharmacokinetic models.

The aim of this paper is to define controllability and reachability properties for continuous time switched positive systems, and to provide some preliminary characterizations of these properties.