Control of Metabolic Systems Modeled with Timed Continuous Petri Nets.
Roberto Ross-León, Antonio Ramírez‐Treviño, J. Alejandro Morales, Javier Ruiz‐León · 2010
This paper is concerned with the control problem of biological systems modeled with Timed Continuous Petri Nets under in nite server semantics. This work introduces two main contributions. The rst one is a bottom-up modeling methodology that uses TCPN to represent cell metabolism. The second contribution is the control wich solves the Regulation Control Problem (RCP ) (to reach a required state and maintain it). The control is based on a Lyapunov criterion that ensures reaching the required state.