Observers and Relative ‎E‎ntropy ‎Functional‎

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

‎In this paper‎, ‎we will use the mathematical modeling of one-dimensional observers to present the notion of the \emph{relative entropy functional} for relative dynamical systems‎. ‎Also‎, ‎the invariance of the entropy of a system under topological conjugacy is generalized to the relative entropy functional‎. ‎Moreover‎, ‎from observer viewpoint‎, ‎a new version of the Jacobs Theorem is obtained‎. ‎It has been proved that relative entropy functional is equivalent to the Kolmogorov entropy for dynamical systems‎, ‎from the viewpoint of observer $ \chi_X $‎, ‎where $ \chi_X $ is the characteristic function on compact metric space $X$‎.

Language:
English
Published:
International Journal of Industrial Mathematics, Volume:15 Issue: 1, Winter 2023
Pages:
61 to 68
https://www.magiran.com/p2542069