000 02077nam a22002177a 4500
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008 181227b ||||| |||| 00| 0 eng d
020 _a9781107182646
040 _cVITAP
082 _223rd
_a519.2 ROY
100 _98907
_aRoy, Debasish
245 _aStochastic Dynamics, Filtering and Optimization /
_cDebasish Roy & G.Visweswara Rao
260 _aNew Delhi
_bCambridge University Press
_c2018
300 _axxxvii, 709p.
500 _aIt includes index argeted at graduate students, researchers and practitioners in the field of science and engineering, this book gives a self-contained introduction to a measure-theoretic framework in laying out the definitions and basic concepts of random variables and stochastic diffusion processes. It then continues to weave into a framework of several practical tools and applications involving stochastic dynamical systems. These include tools for the numerical integration of such dynamical systems, nonlinear stochastic filtering and generalized Bayesian update theories for solving inverse problems and a new stochastic search technique for treating a broad class of non-convex optimization problems. MATLABĀ® codes for all the applications are uploaded on the companion website. Applications to dynamical systems in science, engineering and recursive search algorithms are covered in depth Important topics including Radon-Nikodym derivatives and Girsanov theorems with emphasis on Ito diffusion processes are discussed comprehensively MATLABĀ® codes for all the applications are available on the companion website for both students and instructors
650 0 _98908
_aMathematical optimization; Stochastic differential equations--Numerical solutions; Stochastic processes--Mathematical models; Probabilities; Random variables; Stochastic processes
700 _98909
_aRao, G. Visweswara
856 _uhttps://www.cambridge.org/in/academic/subjects/engineering/control-systems-and-optimization/stochastic-dynamics-filtering-and-optimization?format=HB
942 _2ddc
_cREF