000 03166nam a22004935i 4500
001 978-1-84996-101-1
003 DE-He213
005 20140220084515.0
007 cr nn 008mamaa
008 100301s2010 xxk| s |||| 0|eng d
020 _a9781849961011
_9978-1-84996-101-1
024 7 _a10.1007/978-1-84996-101-1
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aTomás-Rodríguez, María.
_eauthor.
245 1 0 _aLinear, Time-varying Approximations to Nonlinear Dynamical Systems
_h[electronic resource] :
_bwith Applications in Control and Optimization /
_cby María Tomás-Rodríguez, Stephen P. Banks.
264 1 _aLondon :
_bSpringer London,
_c2010.
300 _aXII, 298p.
_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 ;
_v411
505 0 _ato Nonlinear Systems -- Linear Approximations to Nonlinear Dynamical Systems -- The Structure and Stability of Linear, Time-varying Systems -- General Spectral Theory of Nonlinear Systems -- Spectral Assignment in Linear, Time-varying Systems -- Optimal Control -- Sliding Mode Control for Nonlinear Systems -- Fixed Point Theory and Induction -- Nonlinear Partial Differential Equations -- Lie Algebraic Methods -- Global Analysis on Manifolds -- Summary, Conclusions and Prospects for Development.
520 _aLinear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.
650 0 _aEngineering.
650 0 _aSystems theory.
650 0 _aMathematical optimization.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aOptimization.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aSystems Theory, Control.
700 1 _aBanks, Stephen P.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781849961004
830 0 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v411
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-84996-101-1
912 _aZDB-2-ENG
999 _c110967
_d110967