K-symbol fractional order discrete-time models of Lozi system

Abstract

In this investigation, we suggest different systems: the k-symbol fractional Lozi system (FLS), the k-symbol fractional Lozi system. We examine several of these systems' crucial dynamics. Moreover, we explore the sufficient and necessary conditions for the k-symbol fractional dynamic systems to be stable and asymptotically stable. Consequently, we provide the sufficient conditions on the k-symbol FLS to attain a steady and asymptotically steady zero resolutions. Additionally, we suggest in control laws designed to stabilize a combination of these systems. In this study, we assume 1D-controller and 2D-controller systems.

Keywords:

• Fractional differential operators
• difference system
• fractional calculus
• Lozi system

Mathematics Subject Classification:

• 37-XX

Disclosure statement

No potential conflict of interest was reported by the author(s).