Controlling a class of hyperbolic distributed parameter systems producing ideal turbulence

We try to stabilize steady solutions of physical models described by a class of first-order linear partial differential equations with nonlinear boundary conditions. These systems are distributed parameter systems in which ideal turbulence, introduced by Sharkovsky et al., occurs. In this report, using the method of characteristics, we design a control law to stabilize equilibrium solutions and synchronize a pair of the distributed parameter systems.