000 04155nam a22005655i 4500
001 978-0-8176-4733-9
003 DE-He213
005 20161121231211.0
007 cr nn 008mamaa
008 101007s2008 xxu| s |||| 0|eng d
020 _a9780817647339
_9978-0-8176-4733-9
024 7 _a10.1007/978-0-8176-4733-9
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTEC004000
_2bisacsh
082 0 4 _a519
_223
100 1 _aZabczyk, Jerzy.
_eauthor.
245 1 0 _aMathematical Control Theory
_h[electronic resource] :
_bAn Introduction /
_cby Jerzy Zabczyk.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2008.
300 _aX, 260 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModern Birkhäuser Classics
505 0 _aElements of classical control theory -- Controllability and observability -- Stability and stabilizability -- Realization theory -- Systems with constraints -- Nonlinear control systems -- Controllability and observability of nonlinear systems -- Stability and stabilizability -- Realization theory -- Optimal control -- Dynamic programming -- Dynamic programming for impulse control -- The maximum principle -- The existence of optimal strategies -- Infinite dimensional linear systems -- Linear control systems -- Controllability -- Stability and stabilizability -- Linear regulators in Hilbert spaces.
520 _aMathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems. The book will be ideal for a beginning graduate course in mathematical control theory, or for self study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory. "This book is designed as a graduate text on the mathematical theory of deterministic control. It covers a remarkable number of topics...The exposition is excellent, and the book is a joy to read. A novel one-semester course covering both linear and nonlinear systems could be given...The book is an excellent one for introducing a mathematician to control theory." — Bulletin of the AMS "The book is very well written from a mathematical point of view of control theory. The author deserves much credit for bringing out such a book which is a useful and welcome addition to books on the mathematics of control theory." — Control Theory and Advance Technology "At last! We did need an introductory textbook on control which can be read, understood, and enjoyed by anyone." — Gian-Carlo Rota, The Bulletin of Mathematics Books.
650 0 _aMathematics.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aSystem theory.
650 0 _aCalculus of variations.
650 0 _aControl engineering.
650 0 _aRobotics.
650 0 _aMechatronics.
650 1 4 _aMathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aApplications of Mathematics.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aControl, Robotics, Mechatronics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817647322
830 0 _aModern Birkhäuser Classics
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4733-9
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c510043
_d510043