Approximation and Optimization of Discrete and Differential InclusionsOptimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of setvalued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions.

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Contents
1 Convex Sets and Functions  1 
2 Multivalued Locally Adjoint Mappings  53 
3 Mathematical Programming and Multivalued Mappings  93 
4 Optimization of Ordinary Discrete and Differential Inclusions and tsub1Transversality Conditions  143 
5 On Duality of Ordinary Discrete and Differential Inclusions with Convex Structures  217 
6 Optimization of Discrete and Differential Inclusions with Distributed Parameters via Approximation  253 
References  365 
Glossary of Notations  377 
Other editions  View all
Approximation and Optimization of Discrete and Differential Inclusions Elimhan N Mahmudov Limited preview  2011 
Approximation and Optimization of Discrete and Differential Inclusions Elimhan N. Mahmudov No preview available  2011 
Common terms and phrases
B.S. Mordukhovich boundary conditions boundary value problem Cauchy problem closed convex condition in Eq conditions for optimality cone of tangent constraints convex cone convex multivalued mapping convex problem convex programming convex set Corollary defined definition of LAM derivatives Dirichlet problem discrete and differential discrete inclusions discreteapproximation problem dual cone dual problem E.N. Mahmudov elliptic operator equal to zero equivalent exist a number feasible solution finite formula function f gph F Hamiltonian function implies inclusion in Eq indicator function inequality in Eq infimal convolution infimum Lemma Let F linear lower semicontinuous mapping F Math matrix Moreover multivalued function necessary and sufficient nonconvex problem nonempty obtain optimal control problem optimal solution partial differential inclusions point x1 positively homogeneous problem in Eq problem PD proper convex function ℝn satisfied Section semicontinuous subdifferential sufficient conditions Suppose taking into account tangent directions Theorem tion trajectory