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Summary: ABSTRACT
Title of dissertation: SYMBOLIC AND NUMERIC SOLUTIONS
OF MODIFIED BANG-BANG CONTROL
STRATEGIES FOR PERFORMANCE-BASED
ASSESSMENT OF BASE-ISOLATED
STRUCTURES
Robert R. Sebastianelli, Jr.,
Doctor of Philosophy, 2005
Dissertation directed by: Associate Professor Mark A. Austin
Department of Civil and Environmental
Engineering and Institute for
Systems Research
This work explores symbolic and numeric solutions to the Lyapunov matrix
equation as it applies to performance-based assessment of base-isolated structures
supplemented by modified bang-bang control. Traditional studies of this type rely on
numeric simulations alone. This study is the first to use symbolic analysis as a means
of identifying key "cause and effect" relationships existing between parameters of the
active control problem and the underlying differential equations of motion. We show
that symbolic representations are very lengthy, even for structures having a small
number of degrees of freedom. However, under certain simplifying assumptions,
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