The c-Entropy of non-dissipative L-systems

TL;DR

This paper extends the concept of c-entropy to non-dissipative canonical L-systems, introduces dissipation and accumulation coefficients, and analyzes coupled systems to derive explicit c-entropy formulas.

Contribution

It provides a new extension of c-entropy to non-dissipative L-systems and introduces related coefficients and coupling analysis.

Findings

Extended c-entropy definition for non-dissipative L-systems

Introduced dissipation and accumulation coefficients

Derived closed-form c-entropy expressions for coupled systems

Abstract

In this paper, we extend the definition of c-entropy to canonical L-systems with non-dissipative state-space operators. We also introduce the concepts of dissipation and accumulation coefficients for such systems. In addition, we examine the coupling of these L-systems and derive closed form expressions for the corresponding c-entropy.