000 03060nam a22006135i 4500
001 978-3-540-27397-4
003 DE-He213
005 20161121231019.0
007 cr nn 008mamaa
008 100301s2005 gw | s |||| 0|eng d
020 _a9783540273974
_9978-3-540-27397-4
024 7 _a10.1007/b139028
_2doi
050 4 _aTJ210.2-211.495
050 4 _aTJ163.12
072 7 _aTJFM
_2bicssc
072 7 _aTJFD
_2bicssc
072 7 _aTEC004000
_2bisacsh
072 7 _aTEC037000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aBacciotti, Andrea.
_eauthor.
245 1 0 _aLiapunov Functions and Stability in Control Theory
_h[electronic resource] /
_cby Andrea Bacciotti, Lionel Rosier.
250 _a2nd Edition.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2005.
300 _aXIII, 237 p.
_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 _aDifferential equations -- Time invariant systems -- Time varying systems -- Differential inclusions -- Additional properties of strict Liapunov functions -- Monotonicity and generalized derivatives.
520 _aThis book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control. Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs. In the 2nd edition of this successful book several new sections were added and old sections have been improved, e.g about the Zubovs method, Liapunov functions for discontinuous systems and cascaded systems. Many new examples, explanations and figures were added making this book accessible and well readable for engineers as well as mathematicians.
650 0 _aEngineering.
650 0 _aSystem theory.
650 0 _aStatistical physics.
650 0 _aDynamical systems.
650 0 _aVibration.
650 0 _aDynamics.
650 0 _aControl engineering.
650 0 _aRobotics.
650 0 _aMechatronics.
650 1 4 _aEngineering.
650 2 4 _aControl, Robotics, Mechatronics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aVibration, Dynamical Systems, Control.
700 1 _aRosier, Lionel.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540213321
830 0 _aCommunications and Control Engineering,
_x0178-5354
856 4 0 _uhttp://dx.doi.org/10.1007/b139028
912 _aZDB-2-ENG
950 _aEngineering (Springer-11647)
999 _c507298
_d507298