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The optimal control and its multiple applications

Mathematics – Optimization and Control
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The optimal strategy for symmetric rendezvous search on K3

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The positive real lemma and construction of all realizations of generalized positive rational functions

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The positive semidefinite Grothendieck problem with rank constraint

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The power quantum calculus and variational problems

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The problem of the body of revolution of minimal resistance

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The Quadratic Graver Cone, Quadratic Integer Minimization, and Extensions

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The Rate of Convergence of AdaBoost

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The Relaxed Stochastic Maximum Principle in Singular Optimal Control of SDEs for Mean-field Type

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The Reliability Value of Storage in a Volatile Environment

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The Residual Method for Regularizing Ill-Posed Problems

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The ring grooming problem

Mathematics – Optimization and Control
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The Role of Singular Control in Frictionless Atom Cooling in a Harmonic Trapping Potential

Mathematics – Optimization and Control
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The Second Euler-Lagrange Equation of Variational Calculus on Time Scales

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The Separation Principle in Stochastic Control, Redux

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The simplest examples where the simplex method cycles and conditions where EXPAND fails to prevent cycling

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The Smallest Enclosing Ball Problem and the Smallest Intersecting Ball Problem: Existence and Uniqueness of Solutions

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The solution infinite horizon noncooperative differential game with nonlinear dynamics without the Hamilton-Jacobi-Bellman equation

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The solution of the global controllability problem for the triangular systems in the singular case

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The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry

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