Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Technology, Automation
Cover of the book Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements by Alexander L. Zuyev, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexander L. Zuyev ISBN: 9783319115320
Publisher: Springer International Publishing Publication: November 4, 2014
Imprint: Springer Language: English
Author: Alexander L. Zuyev
ISBN: 9783319115320
Publisher: Springer International Publishing
Publication: November 4, 2014
Imprint: Springer
Language: English

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.
The book turns from the examination of an abstract class of systems to particular physical examples. Timoshenko beam theory is exploited in studying a mathematical model of a flexible-link manipulator.  Finally, a mechanical system consisting of a rigid body with the Kirchhoff plate is considered. Having established that such a system is not controllable in general, sufficient controllability conditions are proposed for the dynamics on an invariant manifold.
Academic researchers and graduate students interested  in control theory and mechanical engineering will find Partial Stabilization and Control of Distributed-Parameter Systems with Elastic Elements a valuable and authoritative resource for investigations on the subject of partial stabilization.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.
The book turns from the examination of an abstract class of systems to particular physical examples. Timoshenko beam theory is exploited in studying a mathematical model of a flexible-link manipulator.  Finally, a mechanical system consisting of a rigid body with the Kirchhoff plate is considered. Having established that such a system is not controllable in general, sufficient controllability conditions are proposed for the dynamics on an invariant manifold.
Academic researchers and graduate students interested  in control theory and mechanical engineering will find Partial Stabilization and Control of Distributed-Parameter Systems with Elastic Elements a valuable and authoritative resource for investigations on the subject of partial stabilization.

More books from Springer International Publishing

Cover of the book Advances in Geomorphology and Quaternary Studies in Argentina by Alexander L. Zuyev
Cover of the book The United States and Military Coups in Turkey and Pakistan by Alexander L. Zuyev
Cover of the book Annual Update in Intensive Care and Emergency Medicine 2014 by Alexander L. Zuyev
Cover of the book China, Hong Kong, and the Long 1970s: Global Perspectives by Alexander L. Zuyev
Cover of the book Edmund Burke as Historian by Alexander L. Zuyev
Cover of the book A Discipline-Based Teaching and Learning Center by Alexander L. Zuyev
Cover of the book Multiscale Mechanobiology of Bone Remodeling and Adaptation by Alexander L. Zuyev
Cover of the book The United Nations under Ban Ki-moon by Alexander L. Zuyev
Cover of the book Free Surface Flows and Transport Processes by Alexander L. Zuyev
Cover of the book Fourier Series, Fourier Transform and Their Applications to Mathematical Physics by Alexander L. Zuyev
Cover of the book Other Animals in Twenty-First Century Fiction by Alexander L. Zuyev
Cover of the book Fading and Shadowing in Wireless Systems by Alexander L. Zuyev
Cover of the book Food Safety for Farmers Markets: A Guide to Enhancing Safety of Local Foods by Alexander L. Zuyev
Cover of the book Protein Targeting Compounds by Alexander L. Zuyev
Cover of the book Improving the Stability of Meshed Power Networks by Alexander L. Zuyev
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy