Analysis of relative controllability and finite-time stability in nonlinear switched fractional impulsive systems

Abstract

This article investigated a class of switched impulsive fractional control systems with delays occurring at different time instants in both the state and control input. First, we analyzed the state response behavior and established sufficient conditions ensuring the system's stability over a finite time horizon. Next, we demonstrated the system's relative controllability using the fixed-point approach. Finally, a numerical simulation was presented to validate the theoretical findings.

Keywords

• fractional delay system
• gronwall's inequality
• laplace transform
• fixed point theorem
• switched system
• finite-time stability
• relative controllability