Stabilizability of coupled wave equations in parallel under various boundary conditions

摘要

Stability of the wave equations coupled in parallel (suspension system) is investigated for free- and fixed-boundary conditions by energy dissipation boundary controller(s). To this end, the exponential stability criterion and Rouche's theorems are used. The former is utilized for uniformly, exponentially decaying systems, and the latter otherwise. The results are characterized by the rate of convergence of the solutions and the system parameters for the stated boundary conditions.