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

Volume

42

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

1308

Lastpage

1312

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;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.623099

Filename

623099