ℎ-Stability of set differential equations

Abstract

In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory. Then, based on the obtained results, we study the ℎ-stability of perturbed and cascaded systems. Finally, an example illustrates the proposed theorems

Keywords

• ℎ-stability
• lyapunov theory
• set-valued differential
• generalized hukuhara derivative
• perturbed system
• cascaded systems