Chaotic cryptosystems in communication within an LPV framework

This paper presents a framework, called LPV (Linear Parameter Varying) framework, that allows to tackle chaos synchronization issues. Following a tutorial-like form, it is explained how a chaotic map involving polynomial nonlinearities or a piecewise linear map can be rewritten as a polytopic Linear Parameter Varying system. Next, a unified approach to achieve synchronization in the context of secure communication is detailed.