Lumpability of linear evolution equations in banach spaces
Atay, F. M.
Evolution Equations and Control Theory
American Institute of Mathematical Sciences
15 - 34
Item Usage Stats
MetadataShow full item record
We analyze the lumpability of linear systems on Banach spaces, namely, the possibility of projecting the dynamics by a linear reduction opera-tor onto a smaller state space in which a self-contained dynamical description exists. We obtain conditions for lumpability of dynamics defined by unbounded operators using the theory of strongly continuous semigroups. We also derive results from the dual space point of view using sun dual theory. Furthermore, we connect the theory of lumping to several results from operator factoriza-tion. We indicate several applications to particular systems, including delay differential equations. © 2017, American Institute of Mathematical Sciences. All rights reserved.
KeywordsAbstract Cauchy problem
Sun dual space