We consider the problem of boundary stabilization for a system of n coupled parabolic linear PDEs of the reaction-diffusion-advection type.
In contrast, electromagnetic devices of the transformer type have been demonstrated to be highly effective in the passive stabilization of such a system, as well as the active stabilization of similar non-conservative systems with a follower force.
It uses a parameter dependent Lyapunov-Krasovskii functional that allows to assure the robust stability or the robust stabilization of a switched system for arbitrary switching functions.
A. Sahai and S. Mitter, "The necessity and sufficiency of anytime capacity for stabilization of a linear system over a noisy communication link--Part I: Scalar systems," IEEE Trans.
In this frame, the stabilization of a nonlinear system is guaranteed through the σ-stability of its Takagi-Sugeno (TS) fuzzy model in close-loop with BPR controller.
By application of the proposed sector condition and rigorous regional stability analysis, control and adaptation laws are formulated to guarantee local stabilization of a nonlinear system under actuator saturation.
This paper studies the stabilization of a gyroscopic system using parametric stabilization near a combination resonance.
We finally provide two examples, including an example of stabilization of a cooling system.
Of special interest is the stabilization of a gyroscopic system of many modes via a smaller number of sensors and actuators.
