| 000 | 02429cam a2200301 a 4500 | ||
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| 001 | 3101937 | ||
| 005 | 20250612101341.0 | ||
| 008 | 990106s2000 xxka b 001 0 eng | ||
| 020 | _a9780521155687 | ||
| 040 |
_aCSL _cCSL |
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| 041 |
_2eng _aeng |
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| 084 |
_aB334 P0 NBHM _qCSL |
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| 100 | 1 |
_aLasiecka, I. _eauthor. _9812675 |
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| 245 | 1 | 0 |
_aControl theory for partial differential equations : _bcontinuous and approximation theories |
| 260 |
_aCambridge ; _bCambridge University Press, _c2000. |
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| 300 |
_a2 v. (xxi, 1067 p.) : _bill. ; _c25 cm. |
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| 440 | _vEncyclopedia of mathematics and its applications ; 75 | ||
| 504 | _aIncludes bibliographical references and index. | ||
| 505 | 0 | _aI. Abstract parabolic systems -- II. Abstract hyperbolic-like systems over a finite time horizon. | |
| 520 | _aOriginally published in 2000, this is the second volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which unifies across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems. In-depth, comprehensive coverage Wealth of illustrative examples Continuous theory and numerical approximation theory | ||
| 650 | 0 |
_aDifferential equations, Partial. _9812385 |
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| 650 | 0 |
_aControl theory. _9715574 |
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| 650 | 0 |
_aThe Morita theory _9812676 |
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| 650 | 0 |
_aCategories and exact sequences _9812677 |
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| 700 | 1 |
_aTriggiani, R. _eco- author. _9812678 |
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| 830 | 0 |
_aEncyclopedia of mathematics and its applications ; _vv. 75. _9812603 |
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| 942 |
_2CC _n0 _cTEXL _hB334 P0 NBHM |
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| 999 |
_c1431632 _d1431632 |
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