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On characteristic numbers of 24 dimensional String manifolds
In this paper, we study the Pontryagin numbers of 24 dimensional String manifolds. In particular, we find representatives of an integral basis of the...
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Storage Reduction of Forward-Backward Swee** Method of Optimal Control of Active Queue Management
An active queue management algorithm derived from an indirect optimal control method may benefit from checkpointing integration. There are...
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History of the Discovery of the Pontryagin Maximum Principle
We briefly describe the history of the discovery of the Pontryagin maximum principle in optimal control theory in the mid-1950s by Academician L. S....
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Continuity/constancy of the Hamiltonian function in a Pontryagin maximum principle for optimal sampled-data control problems with free sampling times
In a recent paper by Bourdin and Trélat, a version of the Pontryagin maximum principle (in short, PMP) has been stated for general nonlinear...
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Regularization of the Classical Optimality Conditions in Optimal Control Problems for Linear Distributed Systems of Volterra Type
AbstractRegularization of the classical optimality conditions—the Lagrange principle and the Pontryagin maximum principle—in a convex optimal control...
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Algebraic structure and characteristic ideals of fine Mordell–Weil groups and plus/minus Mordell–Weil groups
Given an elliptic curve defined over a number field F , we study the algebraic structure and prove a control theorem for Wuthrich’s fine Mordell–Weil...
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A Halmos–von Neumann Theorem for Actions of General Groups
We give a new categorical approach to the Halmos–von Neumann theorem for actions of general topological groups. As a first step, we establish that...
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On the regularized risk of distributionally robust learning over deep neural networks
In this paper, we explore the relation between distributionally robust learning and different forms of regularization to enforce robustness of deep...
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Application of Optimization Methods in Solving the Problem of Optimal Control of Assets and Liabilities by a Bank
In this work the possibilities of applying optimization methods to solving the optimal control problem are studied. We consider a model of...
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Reducibility of Self-Adjoint Linear Relations and Application to Generalized Nevanlinna Functions
We present necessary and sufficient conditions for the reducibility of a self-adjoint linear relation in a Krein space. Then a generalized Nevanlinna...
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On characteristic numbers of 24 dimensional string manifolds
In this paper, we study the Pontryagin numbers of 24 dimensional String manifolds. In particular, we find representatives of an integral basis of the...
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Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread
In this paper, we propose an optimal control problem for an HIV infection model with cellular and humoral immune responses, logistic growth of...
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Regular Approximations of the Fastest Motion of Mobile Robot under Bounded State Variables
AbstractThe time minimization problem for a mobile controlled robot under state constraints is studied. A numerical solution method based on the...
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On the Attacker-Defender-Target Optimal Problem
The Target-Attacker-Defender problem is considered. Assumed that all participants move in a horizontal plane with velocities of constant modulus. The...
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Analytical Solution of the Problem on an Axisymmetric Spacecraft Attitude Maneuver Optimal with Respect to a Combined Functional
AbstractIn the quaternionic setting, we consider the problem of optimal control of a spatial attitude maneuver of a spacecraft viewed as a rigid...
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On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System
AbstractWe consider a two-level open quantum system whose dynamics is governed by the Gorini–Kossakowski–Sudarshan–Lindblad equation with...
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Construction of Maxwell Points in Left-Invariant Optimal Control Problems
AbstractWe consider left-invariant optimal control problems on connected Lie groups. The Pontryagin maximum principle gives necessary optimality...
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Connecting a Third-Order Singular Arc with Nonsingular Arcs of Optimal Control in a Minimization Problem for a Psoriasis Treatment Model
AbstractWe study a mathematical model of psoriasis treatment defined by a system of three differential equations on a fixed time interval. These...
