Brief paper: On asymptotic stability of semi-linear distributed parameter dissipative systems

Authors:
Ilyasse Aksikas;J. Fraser Forbes
Affiliations:
Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada, T6G 2G6;Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada, T6G 2G6
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Abstract

The concept of asymptotic stability is studied for a class of semi-linear distributed parameter dissipative systems with nonlinearity defined on a convex subset of the state space. This is achieved by using infinite-dimensional Banach state space description. Stability criteria are established, which are based on a weaker technical condition of the m-dissipativity. These theoretical results are applied to a class of transport-reaction processes. Different types of nonlinearities are studied by adapting the criteria given in the early portions of the paper.