DUALITY FOR DIFFERENTIAL-DIFFERENCE SYSTEMS OVER LIE GROUPS
Résumé
In modern mathematical systems theory, there exist two consistent ways of defining and describing a linear system: (i) in the behavioral approach, a linear system is the kernel B of a matrix-valued operator R in a power of a signal space W ; (ii) in the module-theoretic setting, a linear system is the cokernel M of the above matrix R. These two formulations have connections. The minimal conditions under which they are equivalent are investigated in this paper. The general theory is applied to differential-difference systems over Lie groups.
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