This paper, addressed primarily to engineers and mathematicians with an interest in control
theory, argues that entirely new theoretical problems arise naturally when addressing …

A quantitative description of a complex system is inherently limited by our ability to estimate
the system's internal state from experimentally accessible outputs. Although the …

State estimators for physical processes often must address different challenges, including
nonlinear dynamics, states subject to hard constraints (eg, nonnegative concentrations), and …

This paper provides an overview of currently available methods for state estimation of linear,
constrained and nonlinear systems. The following methods are discussed: Kalman filtering …

The capacity for multiple equilibria in an isothermal homogeneous continuous flow stirred
tank reactor is determined by the reaction network. Examples show that there is a very …

Deals with the theory of structure, stability, robustness, and stabilization for an appealing
class of nonlinear systems which arises in the analysis of chemical networks. The results …

This paper, prepared for a tutorial at the 2005 IEEE Conference on Decision and Control,
presents an introduction to molecular systems biology and some associated problems in …

This article addresses the state-estimation problem for linear and non-linear systems for the
case in which prior knowledge is available in the form of an equality constraint. The equality …

We analyze certain chemical reaction networks and show that every solution converges to
some steady state. The reaction kinetics are assumed to be monotone but otherwise …

Abstract The Koopman and Perron Frobenius transport operators are fundamentally
changing how we approach dynamical systems, providing linear representations for even …