Work

Controllability for Volterra Integro-Dynamic Sylvester Matrix Systems with Impulse on Time Scales

Year: 2024

Type: article

Abstract: This article presents the complete controllability for a Volterra integro-dynamic Sylvester matrix system with time scale impulses in a finite-dimensional space Rn. We utilized the Banach fixed point theorem and nonlinear functional analysis to determine the existence of a unique solution for the system, and conducted an analysis of complete controllability using the Gramian matrix and various parameter changes. We provided a numerical example using simulation to demonstrate the application of these conclusions for two different time scales, T=R and T=P_1,1.

Source: Communications on Applied Nonlinear Analysis

DOI: 10.52783/cana.v32.2410

Author: A Sreenivasulu

Institution: Koneru Lakshmaiah Education Foundation

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407044104

FWCI: 0.781

Cites:

Cited by: 1

Related to: 10