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Diffusive representation of pseudo-differential time-operators
1998
ESAIM: Proceedings and Surveys
The concept of "di usive representation" w as previously introduced in the aim of transforming non standard convolutive causal operators such as fractional integrodi erential o n e s , i n to in nite-dimension dissipative classical input-output dynamic systems. The existence of an explicit dissipative semigroup makes then possible the use of classical tools of functional and numerical analysis of PDE, energy methods, control, ltering, etc., generally ill-tted to the standard convolutive
doi:10.1051/proc:1998005
fatcat:lro7pxc2yffhjlliuxsvv3ayci