000 04131nam a22005295i 4500
001 978-3-319-11532-0
003 DE-He213
005 20200421111203.0
007 cr nn 008mamaa
008 141104s2015 gw | s |||| 0|eng d
020 _a9783319115320
_9978-3-319-11532-0
024 7 _a10.1007/978-3-319-11532-0
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aZuyev, Alexander L.
_eauthor.
245 1 0 _aPartial Stabilization and Control of Distributed Parameter Systems with Elastic Elements
_h[electronic resource] /
_cby Alexander L. Zuyev.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXIII, 232 p. 16 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v458
505 0 _aBasic Results from the Theory of Continuous Semigroups of Operator -- Partial Asymptotic Stability -- Stabilization of a Rotating Body with Euler-Bernoulli Beams -- Reachable Sets and Controllability Conditions -- Observer-Based Stabilization of a Manipulator Based on the Timoshenko Beam Model -- Control and Stabilization of a Rotating Kirchhoff Plate.-Appendices.
520 _a 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.
650 0 _aEngineering.
650 0 _aSystem theory.
650 0 _aStructural mechanics.
650 0 _aControl engineering.
650 0 _aRobotics.
650 0 _aAutomation.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aSystems Theory, Control.
650 2 4 _aStructural Mechanics.
650 2 4 _aRobotics and Automation.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319115313
830 0 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v458
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-11532-0
912 _aZDB-2-ENG
942 _cEBK
999 _c53950
_d53950