000 04610nam a22005655i 4500
001 978-1-84800-344-6
003 DE-He213
005 20161121230539.0
007 cr nn 008mamaa
008 100301s2008 xxk| s |||| 0|eng d
020 _a9781848003446
_9978-1-84800-344-6
024 7 _a10.1007/978-1-84800-344-6
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aBelmiloudi, Aziz.
_eauthor.
245 1 0 _aStabilization, Optimal and Robust Control
_h[electronic resource] :
_bTheory and Applications in Biological and Physical Sciences /
_cby Aziz Belmiloudi.
264 1 _aLondon :
_bSpringer London,
_c2008.
300 _aXXII, 502 p. 3 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCommunications and Control Engineering,
_x0178-5354
505 0 _aGeneral Introduction -- General Introduction -- Convex Analysis and Duality Principles -- Convexity and Topology -- A Brief Overview of Sobolev Spaces -- Legendre–Fenchel Transformation and Duality -- Lagrange Duality Theory -- General Results and Concepts on Robust and Optimal Control Theory for Evolutive Systems -- Studied Systems and General Results -- Optimal Control Problems -- Stabilization and Robust Control Problem -- Remarks on Numerical Techniques -- Applications in the Biological and Physical Sciences: Modeling and Stabilization -- Vortex Dynamics in Superconductors and Ginzburg–Landau-type Models -- Multi-scale Modeling of Alloy Solidification and Phase-field Model -- Large-scale Ocean in the Climate System -- Heat Transfer Laws on Temperature Distribution in Biological Tissues -- Lotka–Volterra-type Systems with Logistic Time-varying Delays -- Other Systems.
520 _aSystems governed by nonlinear partial differential equations (PDEs) arise in many spheres of study. The stabilization and control of such systems, which are the focus of this book, are based around game theory. The robust control methods proposed here have the twin aims of compensating for system disturbances in such a way that a cost function achieves its minimum for the worst disturbances and providing the best control for stabilizing fluctuations with a limited control effort. Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality. Mathematical foundations essential for the required analysis are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid-mechanical, biological and materials-scientific systems are laid out in detail; specifically: • mathematical treatment of nonlinear evolution systems (with and without time-varying delays); • vortex dynamics in superconducting films and solidification of binary alloys; • large-scale primitive equations in oceanic dynamics; • heat transfer in biological tissues; • population dynamics and resource management; • micropolar fluid and blood motion. The combination of mathematical fundamentals with applications of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.
650 0 _aEngineering.
650 0 _aSystem theory.
650 0 _aBiomathematics.
650 0 _aContinuum physics.
650 0 _aControl engineering.
650 0 _aRobotics.
650 0 _aMechatronics.
650 0 _aMaterials science.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aControl, Robotics, Mechatronics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aClassical Continuum Physics.
650 2 4 _aMaterials Science, general.
650 2 4 _aMathematical and Computational Biology.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781848003439
830 0 _aCommunications and Control Engineering,
_x0178-5354
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-84800-344-6
912 _aZDB-2-ENG
950 _aEngineering (Springer-11647)
999 _c500390
_d500390