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RESEARCH PAPERS

Dissipativeness and Stability of a Class of Distributed Parameter Systems

[+] Author and Article Information
M. S. Bhat, S. K. Shrivastava

Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India

J. Appl. Mech 52(2), 471-476 (Jun 01, 1985) (6 pages) doi:10.1115/1.3169071 History: Received May 01, 1982; Revised August 01, 1984; Online July 21, 2009

Abstract

Input-output stability of linear-distributed parameter systems of arbitrary order and type in the presence of a distributed controller is analyzed by extending the concept of dissipativeness, with certain modifications, to such systems. The approach is applicable to systems with homogeneous or homogenizable boundary conditions. It also helps in generating a Liapunov functional to assess asymptotic stability of the system.

Copyright © 1985 by ASME
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