| 000 | 02815nam a22005055i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-39170-8 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101813.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1988 gw | s |||| 0|eng d | ||
| 020 |
_a9783540391708 _9978-3-540-39170-8 |
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| 024 | 7 |
_a10.1007/BFb0077931 _2doi |
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| 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 |
_aColonius, Fritz. _eauthor. |
|
| 245 | 1 | 0 |
_aOptimal Periodic Control _h[electronic resource] / _cby Fritz Colonius. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1988. |
|
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1988. |
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| 300 |
_aVI, 177 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1313 |
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| 505 | 0 | _aOptimization theory -- Retarded functional differential equations -- Strong local minima -- Weak local minima -- Local relaxed minima -- Tests for local properness -- A scenario for local properness -- Optimal periodic control of ordinary differential equations. | |
| 520 | _aThis research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. Using either Ekeland's Variational Principle or optimization theory in Banach spaces, necessary optimality conditions are proved. In particular, complete proofs of second-order conditions are included and the result is used for various versions of the optimal periodic control problem. Furthermore a scenario for local properness (related to Hopf bifurcation) is drawn up, giving hints as to where to look for optimal periodic solutions. The book provides mathematically rigorous proofs for results which are potentially of importance in chemical engineering and aerospace engineering. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aSystems theory. | |
| 650 | 0 | _aMathematical optimization. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aSystems Theory, Control. |
| 650 | 2 | 4 | _aCalculus of Variations and Optimal Control; Optimization. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540192497 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1313 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0077931 |
| 942 |
_2EBK1010 _cEBK |
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| 999 |
_c30304 _d30304 |
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