Anti-control of chaos for a kind of n-dimensional linear differential system by three-state discontinuous feedback

To expand the application of chaos control and synchronization in the field ot secure commumcation, anti-control of chaos for three-state discontinuous linear feedback systems was achieved by adding a feedback control item under discontinuous state to a kind of n-dimensional unstable linear systems, the basic dynamical behaviors of the chaotic control systems were investigated in detail, and some theorems were given. Numerical simulation and calculating all Lyapunov exponents verify their chaos.