TY - JOUR

T1 - Dynamics of an escort probability-based systems which tend to maximize its Tsallis entropy

AU - Shalymov, Dmitry S.

AU - Fradkov, Alexander L.

PY - 2018

Y1 - 2018

N2 - We propose a new equations describing dynamics of a complex non-stationary systems/processes from nonextensive statistical mechanics which tend to the maximum of Tsallis entropy. We consider three types of internal energy constraints. The maximum entropy states are already well investigated. But this can not be argued about the transient states which determine how the system moves to the final state. We use the Speed-Gradient principle originated in the control theory. The proposed equations allow to forecast the dynamics of complex non-equilibrium systems. Tsallis entropy is widely used in many fields of science nowadays including physics, biology, computer science and others.

AB - We propose a new equations describing dynamics of a complex non-stationary systems/processes from nonextensive statistical mechanics which tend to the maximum of Tsallis entropy. We consider three types of internal energy constraints. The maximum entropy states are already well investigated. But this can not be argued about the transient states which determine how the system moves to the final state. We use the Speed-Gradient principle originated in the control theory. The proposed equations allow to forecast the dynamics of complex non-equilibrium systems. Tsallis entropy is widely used in many fields of science nowadays including physics, biology, computer science and others.

KW - MaxEnt

KW - Nonextensive Statistical Mechanics

KW - Speed-Gradient principle

KW - Tsallis entropy

UR - http://www.scopus.com/inward/record.url?scp=85059194643&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2018.12.114

DO - 10.1016/j.ifacol.2018.12.114

M3 - статья

AN - SCOPUS:85059194643

VL - 51

SP - 180

EP - 185

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 33

Y2 - 30 October 2018 through 1 November 2018

ER -