Reference
W. P. M. H. Heemels, B. De
Schutter, J. Lunze, and M. Lazar, "Stability analysis and controller synthesis
for hybrid dynamical systems,"
Philosophical Transactions of
the Royal Society A, vol. 368, no. 1930, p. 4937-4960, Nov. 2010.
Abstract
Wherever continuous and discrete dynamics interact, hybrid systems arise. This
is especially profound in many technological systems in which logic decision
making and embedded control actions are combined with continuous physical
processes. Also for many mechanical, biological, electrical, and economical
systems the usage of hybrid models is indispensable to adequately describe
their behavior. To capture the evolution of these systems, mathematical models
are needed that combine in one way or another the dynamics of the continuous
parts of the system with the dynamics of the logic and discrete parts. These
mathematical models come in all kinds of variations, but basically consist of
some form of differential or difference equations on the one hand and automata
or other discrete-event models on the other hand. The collection of analysis
and synthesis techniques based on these models forms the research area of
hybrid systems theory, which plays an important role in the multi-disciplinary
design of many technological systems that surround us. This paper presents an
overview from the perspective of the control community on modeling, analysis,
and control design for hybrid dynamical systems and surveys the major research
lines in this appealing and lively research area.
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BibTeX
@article{HeeDeS:10-030,
author = {Heemels, W. P. M. H. and De Schutter, Bart and Lunze, Jan and
Lazar, Mircea},
title = {Stability Analysis and Controller Synthesis for Hybrid Dynamical
Systems},
journal = {Philosophical Transactions of the Royal Society A},
volume = {368},
number = {1930},
pages = {4937-4960},
month = nov,
year = {2010}
}