Title :
Stabilizability of coupled wave equations in parallel under various boundary conditions
Author :
Najafi, M. ; Sarhangi, G.R. ; Wang, H.
Author_Institution :
Dept. of Math. & Comput. Sci., Kent State Univ., OH, USA
fDate :
9/1/1997 12:00:00 AM
Abstract :
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
Keywords :
asymptotic stability; convergence; distributed parameter systems; eigenvalues and eigenfunctions; feedback; stability criteria; wave equations; Rouche theorems; boundary conditions; convergence rate; coupled wave equations; eigenfunctions; eigenvalues; energy dissipation boundary controller; exponentially decaying systems; feedback; stability criterion; stabilizability; Adaptive control; Boundary conditions; Control systems; Energy dissipation; Mathematical model; Mathematics; Partial differential equations; Rubber; Springs; Stability criteria;
Journal_Title :
Automatic Control, IEEE Transactions on
