This paper studies the disturbance suppression problem for a homogeneous mass chain, i.e., chain of identical point masses interconnected by mechanical impedances. The particular focus is placed on whether attenuation level arbitrary length can be uniformly bounded with size-independent controller. We explicitly represent scalar transfer functions from disturbances to given intermass displaceme...

This paper proposes a method to construct one-dimensional discrete chaotic system. First, we define generalized distance function control the boundedness of Based on Marotto’s theorem, systems are proven be in sense Li–Yorke, and corresponding chaos criterion theorem is proposed. The system can distributed uniformly by adjusting parameters. In this paper, propose an image encryption scheme base...

The goal of this article is to survey various results concerning stochastic completeness graphs. In particular, we present a variety formulations and discuss how discrepancy between uniqueness class volume growth criteria in the continuous discrete settings was ultimately resolved via use intrinsic metrics. Along way, some equivalent notions boundedness sense geometry analysis. We also curvatur...