Semidefinite Programming in Systems and Control
Semidefinite Programming in Systems and Control
V. Balakrishnan and F. Wang
In Handbook of Semidefinite Programming. Theory,
Algorithms, and Applications
R. Saigal, L. Vandenberghe
and H. Wolkowicz, editors, Kluwer Academic Publishers, 2000
Abstract: Systems and Control is perhaps the first and the most popular area
for the application of semidefinite programming towards the
numerical solution of engineering problems. Over the past few
years, considerable research effort has been devoted towards the
reformulation of problems from systems and control theory as
semidefinite programming problems. Prominent examples are the
numerical search for Lyapunov functions that establish the stability
and performance of control system models, and the design of
controllers that ensure stability and enhance performance. In this
chapter, we give a brief overview of a few of these applications.
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