System theory of rational positive systems for cell reaction networks

Biochemical reaction networks are in realistic cases best modeled as rational positive systems. Rational positive systems for biochemical cell reaction networks are defined as dynamic systems which are rational in the state but linear in the inputs. An academic example is provided. The positive orthant is positively or forward invariant for the differential equation of the system. Results are presented for the realizability of an input-output relation as a rational positive systems and for the form of state-space isomorphism

Decentralized control with communication between controllers

The paper presents the problem of decentralized control with communication between controllers. It differs from the regularly considered decentralized control problem in that the controllers can communicate information. Major questions are then: What? When? and To Whom? to communicate information. The problem instances of decentralized control with communication between controllers for discrete-event systems and for finite-dimensional linear systems are described in detail