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Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements

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This monograph provides a rigorous treatment of problems related to partial asymptotic stability and controllability for models of flexible structures described by coupled nonlinear ordinary and partial differential equations or equations in abstract spaces. The text is self-contained, beginning with some basic results from the theory of continuous semigroups of operators in Banach spaces. The problem of partial asymptotic stability with respect to a continuous functional is then considered for a class of abstract multivalued systems on a metric space. Next, the results of this study are applied to the study of a rotating body with elastic attachments. Professor Zuyev demonstrates that the equilibrium cannot be made strongly asymptotically stable in the general case, motivating consideration of the problem of partial stabilization with respect to the functional that represents “averaged” oscillations. The book’s focus moves on to spillover analysis for infinite-dimensional systems with finite-dimensional controls. It is shown that a family of L2-minimal controls, corresponding to low frequencies, can be used to obtain approximate solutions of the steering problem for the complete system.

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Detail Information

Series Title

Lecture Notes in Control and Information Sciences

Call Number

621 ZUY p

Publisher

Cham : Springer., 2014

Collation

XIII, 232 halaman

Language

English

ISBN/ISSN

978-3-319-11532-0

Classification

621

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Mechanical Engineering

Specific Detail Info

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Statement of Responsibility

Alexander L. Zuyev

Other Information

Cataloger

maya

Source

-

Validator

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