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This volume contains the proceedings of the US-Australia workshop
on Control and Chaos held in Honolulu, Hawaii from 29 June to 1
July, 1995. The workshop was jointly sponsored by the National
Science Foundation (USA) and the Department of Industry, Science
and Technology (Australia) under the US-Australia agreement.
Control and Chaos-it brings back memories of the endless reruns of
"Get Smart" where the good guys worked for Control and the bad guys
were associated with Chaos. In keeping with current events, Control
and Chaos are no longer adversaries but are now working together.
In fact, bringing together workers in the two areas was the focus
of the workshop. The objective of the workshop was to bring
together experts in dynamical systems theory and control theory,
and applications workers in both fields, to focus on the problem of
controlling nonlinear and potentially chaotic systems using limited
control effort. This involves finding and using orbits in nonlinear
systems which can take a system from one region of state space to
other regions where we wish to stabilize the system. Control is
used to generate useful chaotic trajectories where they do not
exist, and to identify and take advantage of useful ones where they
do exist. A controller must be able to nudge a system into a proper
chaotic orbit and know when to come off that orbit. Also, it must
be able to identify regions of state space where feedback control
will be effective.
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