| 000 | 03128nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-36784-0 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151111.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s2002 gw | s |||| 0|eng d | ||
| 020 |
_a9783540367840 _9978-3-540-36784-0 |
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| 024 | 7 |
_a10.1007/b83677 _2doi |
|
| 050 | 4 | _aQA313 | |
| 072 | 7 |
_aPBWR _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 072 | 7 |
_aPBWR _2thema |
|
| 082 | 0 | 4 |
_a515.39 _223 |
| 082 | 0 | 4 |
_a515.48 _223 |
| 100 | 1 |
_aGrüne, Lars. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aAsymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization _h[electronic resource] / _cby Lars Grüne. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
|
| 300 |
_aX, 238 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1783 |
|
| 505 | 0 | _aDynamics, Perturbation and Discretization -- Setup and Preliminaries -- Strongly Attracting Sets -- Weakly Attracting Sets -- Relation between Discretization and Perturbation -- Discretizations of Attractive Sets -- Domains of Attraction -- Appendices. Viscosity Solutions. Comparison Functions. Numerical Examples. | |
| 520 | _aThis book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples. | ||
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 650 | 0 | _aSystems theory. | |
| 650 | 0 | _aNumerical analysis. | |
| 650 | 0 | _aMathematical optimization. | |
| 650 | 1 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
| 650 | 2 | 4 |
_aSystems Theory, Control. _0http://scigraph.springernature.com/things/product-market-codes/M13070 |
| 650 | 2 | 4 |
_aNumerical Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M14050 |
| 650 | 2 | 4 |
_aCalculus of Variations and Optimal Control; Optimization. _0http://scigraph.springernature.com/things/product-market-codes/M26016 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662187913 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540433910 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1783 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/b83677 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
| 999 |
_c9515 _d9515 |
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