Digitization of nonautonomous control systems

On the shadowing property of nonautonomous discrete systems

In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. We investigate the relation of  weak contractions with shadowing and h-shadowing property.

A Strategy for Chaos Control of Nonlinear Nonautonomous Systems

A general framework for local linear control of nonlinear nonautonomous systems using feedback strategies is considered. In particular, it is shown that a parametrically excited nonlinear system exhibiting chaos can be driven to a desired periodic motion or to a fixed point by designing a combination of a feed forward controller and a feedback time-periodic controller. The design of feedback co...

Analysis of Nonautonomous Adversarial Systems

Generative adversarial networks are used to generate images but still their convergence properties are not well understood. There have been a few studies who intended to investigate the stability properties of GANs as a dynamical system. This short writing can be seen in that direction. Among the proposed methods for stabilizing training of GANs, β-GAN was the first who proposed a complete anne...

Topological Pressure of Nonautonomous Dynamical Systems ⋆

We define and study topological pressure for the non-autonomous discrete dynamical systems given by a sequence {fi} ∞ i=1 of continuous self-maps of a compact metric space. In this paper, we obtain the basic properties and the invariant with respect to equiconjugacy of topological pressure for the nonautonomous discrete dynamical systems.

Cell-nonautonomous control of the UPR.