000 03623nam a22005055i 4500
001 978-0-8176-4606-6
003 DE-He213
005 20251006084437.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780817646066
020 _a99780817646066
024 7 _a10.1007/978-0-8176-4606-6
_2doi
082 0 4 _a519
_223
100 1 _aBlanchini, Franco.
_eauthor.
245 1 0 _aSet-Theoretic Methods in Control
_h[electronic resource] /
_cby Franco Blanchini, Stefano Miani.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2008.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSystems & Control: Foundations & Applications
505 0 _aLyapunov and Lyapunov-like functions -- Convex sets and their representation -- Invariant sets -- Dynamic programming -- Set-theoretic analysis of dynamic systems -- Control of parameter-varying systems -- Control with time-domain constraints -- (Sub-)Optimal control -- Set-theoretic estimation -- Related topics.
520 _aThis self-contained monograph describes basic set-theoretic methods for control and provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. New computer technology has catalyzed a resurgence of research in this area, particularly in the development of set-theoretic techniques, many of which are computationally demanding. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme of the presentation is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary for the adequate formulation and statement of main concepts. Numerical algorithms for the solution of the proposed problems are described in detail. Set-Theoretic Methods in Control is accessible to readers familiar with the basics of systems and control theory; prerequisites such as convexity theory are included. The text provides a solid foundation of mathematical techniques and applications and also features avenues for further theoretical study. Aimed primarily at graduate students and researchers in applied mathematics and engineering, the book will also appeal to practitioners since it contains extensive references to the literature and supplies many recipes for solving significant control problems.
650 0 _aMATHEMATICS.
650 0 _aSYSTEMS THEORY.
650 0 _aMATHEMATICAL OPTIMIZATION.
650 0 _aENGINEERING MATHEMATICS.
650 1 4 _aMATHEMATICS.
650 2 4 _aSYSTEMS THEORY, CONTROL.
650 2 4 _aCONTROL ENGINEERING.
650 2 4 _aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.
650 2 4 _aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650 2 4 _aNUMERICAL AND COMPUTATIONAL METHODS IN ENGINEERING.
700 1 _aMiani, Stefano.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817632557
830 0 _aSystems & Control: Foundations & Applications
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4606-6
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59721
_d59721