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Note publique d'information : A self-contained introduction to algebraic control for nonlinear systems suitable
for researchers and graduate students. The most popular treatment of control for nonlinear
systems is from the viewpoint of differential geometry yet this approach proves not
to be the most natural when considering problems like dynamic feedback and realization.
Professors Conte, Moog and Perdon develop an alternative linear-algebraic strategy
based on the use of vector spaces over suitable fields of nonlinear functions. This
algebraic perspective is complementary to, and parallel in concept with, its more
celebrated differential-geometric counterpart. Algebraic Methods for Nonlinear Control
Systems describes a wide range of results, some of which can be derived using differential
geometry but many of which cannot. They include: • classical and generalized realization
in the nonlinear context; • accessibility and observability recast within the linear-algebraic
setting; • discussion and solution of basic feedback problems like input-to-output
linearization, input-to-state linearization, non-interacting control and disturbance
decoupling; • results for dynamic and static state and output feedback. Dynamic feedback
and realization are shown to be dealt with and solved much more easily within the
algebraic framework. Originally published as Nonlinear Control Systems, 1-85233-151-8,
this second edition has been completely revised with new text – chapters on modeling
and systems structure are expanded and that on output feedback added de novo – examples
and exercises. The book is divided into two parts: the first being devoted to the
necessary methodology and the second to an exposition of applications to control problems.
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