Existence, Uniqueness and Stability of Fractional Order Stochastic Delay System

Autor: Sathiyaraj Thambiayya, P. Balasubramaniam, K. Ratnavelu, JinRong Wang
Jazyk: angličtina
Rok vydání: 2022
Zdroj: Control Systems in Engineering and Optimization Techniques
Popis: This chapter deals with the problem of fractional higher-order stochastic delay systems. A solution representation is given by using sin and cos matrix functions for different delay intervals. Further, existence and uniqueness results are proved through fixed point theorem. Moreover, finite-time stability criteria are obtained using fractional Gronwall-Bellman inequality lemma. Finally, numerical simulation is carried out to check the proposed theoretical results.
Databáze: OpenAIRE