2009
- ▪D. Angeli, P. de Leenheer, E.D. Sontag, "Chemical networks with inflows and outflows: A positive linear differential inclusions approach", Biotechnology Progress, vol. 25, pp. 632-642, 2009. pdfreaction networks · fluxes · differential inclusions · positive systems · Petri nets · persistence · switched systems
Abstract
Certain mass-action kinetics models of biochemical reaction networks, although described by nonlinear differential equations, may be partially viewed as state-dependent linear time-varying systems, which in turn may be modeled by convex compact valued positive linear differential inclusions. A result is provided on asymptotic stability of such inclusions, and applied to biochemical reaction networks with inflows and outflows. Included is also a characterization of exponential stability of general homogeneous switched systems