The goal of this research is to establish control theoretic methods enhance cyber security networked motion systems by utilizing somewhat homomorphic encryption. proposed approach will encrypt the entire schemes including: sensor signals, model parameters, feedback gains, and performs computation in ciphertext space generate commands servo without a hole. paper discuss implementation encrypted ...

In this paper we port Brakerski’s fully homomorphic scheme based on the Learning With Errors (LWE) problem to the ring-LWE setting. We introduce two optimised versions of relinearisation that not only result in a smaller relinearisation key, but also faster computations. We provide a detailed, but simple analysis of the various homomorphic operations, such as multiplication, relinearisation and...

We are concerned with the question when Hom-Lie structures on a Lie algebra closed respect to Jordan product. Somewhat unexpectedly, this leads us certain questions connected Yang-Baxter equation, and decomposition of into sum subalgebras given properties.