Stabilization of the complex wave network with two circuits
双回路复杂波网络的镇定

A complex wave network with two circuits is stabilized by using a feedback controller for stabilizing the closed-loop. By the spectral analysis, we prove that the system is asymptotic stable, and the spectra of the closed-loop system operator is located in a strip on the left half complex plane and being parallel to the imaginary axis. As a consequence, the sequence of eigenvectors and generalized eigenvectors of the system operator forms the parenthesized Riesz basis for the state space. Hence, the solution of the system can be expanded in the characteristic modes of the system.