TY - JOUR
T1 - Asymptotic stability of a nonisothermal plug flow reactor infinite-dimensional model
AU - Aksikas, Ilyasse
AU - Winkin, Joseph
AU - Dochain, Denis
PY - 2004/1/1
Y1 - 2004/1/1
N2 - The asymptotic stability property is studied for a nonisothermal plug flow tubular reactor model, which is described by semi-linear partial differential equations (PDE's) derived from mass and energy balance principles. It is reported that, under some condition on the model parameters, any constant temperature equilibrium profile is an asymptotically stable equilibrium of such model. The analysis is based on an asymptotic stability criterion for a class of infinitedimensional (distributed parameter) semi-linear Banach stale space systems and the concept of strictly m-dissipative operator.
AB - The asymptotic stability property is studied for a nonisothermal plug flow tubular reactor model, which is described by semi-linear partial differential equations (PDE's) derived from mass and energy balance principles. It is reported that, under some condition on the model parameters, any constant temperature equilibrium profile is an asymptotically stable equilibrium of such model. The analysis is based on an asymptotic stability criterion for a class of infinitedimensional (distributed parameter) semi-linear Banach stale space systems and the concept of strictly m-dissipative operator.
KW - Asymptotic stability
KW - Non isothermal plug flow chemical reactor
KW - Nonlinear semigroup of contractions
KW - Partial differential equation
KW - Semilinear infinite dimensional system
KW - Strict m-dissipativity
KW - Tubular reactor
UR - http://www.scopus.com/inward/record.url?scp=85064484037&partnerID=8YFLogxK
U2 - 10.1016/S1474-6670(17)31320-4
DO - 10.1016/S1474-6670(17)31320-4
M3 - Article
AN - SCOPUS:85064484037
SN - 1474-6670
VL - 37
SP - 781
EP - 786
JO - IFAC Proceedings Volumes
JF - IFAC Proceedings Volumes
IS - 13
T2 - 6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004
Y2 - 1 September 2004 through 3 September 2004
ER -