000 04382nam a22005655i 4500
001 978-0-8176-4453-6
003 DE-He213
005 20181204131309.0
007 cr nn 008mamaa
008 100301s2006 xxu| s |||| 0|eng d
020 _a9780817644536
_9978-0-8176-4453-6
024 7 _a10.1007/0-8176-4453-9
_2doi
040 _aISI Library, Kolkata
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aMcEneaney, William M.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMax-Plus Methods for Nonlinear Control and Estimation
_h[electronic resource] /
_cby William M. McEneaney.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2006.
300 _aXIV, 246 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSystems & Control: Foundations & Applications,
_x2324-9749
505 0 _aMax-Plus Analysis -- Dynamic Programming and Viscosity Solutions -- Max-Plus Eigenvector Method for the Infinite Time-Horizon Problem -- Max-Plus Eigenvector Method Error Analysis -- A Semigroup Construction Method -- Curse-of-Dimensionality-Free Method -- Finite Time-Horizon Application: Nonlinear Filtering -- Mixed L?/L2 Criteria.
520 _aThe central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. Well-known dynamic programming arguments show there is a direct relationship between the solution of a control problem and the solution of a corresponding Hamilton–Jacobi–Bellman (HJB) partial differential equation (PDE). The max-plus-based methods examined in this monograph belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated HJB PDEs; they are not equivalent to either of the more commonly used finite element or characteristic approaches. The potential advantages of the max-plus-based approaches lie in the fact that solution operators for nonlinear HJB problems are linear over the max-plus algebra, and this linearity is exploited in the construction of algorithms. The book will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods. Researchers and practitioners tangentially interested in this area will also find a readable, concise discussion of the subject through a careful selection of specific chapters and sections. Basic knowledge of control theory for systems with dynamics governed by differential equations is required.
650 0 _aGlobal analysis (Mathematics).
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aSystems theory.
650 0 _aDifferential equations, partial.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aAlgebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11000
650 2 4 _aSystems Theory, Control.
_0http://scigraph.springernature.com/things/product-market-codes/M13070
650 2 4 _aControl, Robotics, Mechatronics.
_0http://scigraph.springernature.com/things/product-market-codes/T19000
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817670474
776 0 8 _iPrinted edition:
_z9780817635343
830 0 _aSystems & Control: Foundations & Applications,
_x2324-9749
856 4 0 _uhttps://doi.org/10.1007/0-8176-4453-9
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425137
_d425137