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Modeling and adjoints for continuous systems

Journal of Optimization Theory and Applications, 1969
Approximate solution of the differential equations of state of continuous systems by various numerical integration schemes is standard practice in trajectory optimization and control work; the resulting truncation error represents the main error in many applications.
Kelley, H. J., Denham, W. F.
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Weak‐operator Continuity and the Existence of Adjoints

Mathematical Logic Quarterly, 1999
AbstractIt is shown, within constructive mathematics, that the unit ball B1(H) of the set of bounded operators on a Hilbert space H is weak‐operator totally bounded. This result is then used to prove that the weak‐operator continuity of the mapping T → AT on B1(H) is equivalent to the existence of the adjoint of A.
Bridges, Douglas, Dediu, Luminiţa
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Continuous Adjoint Approach for Adaptive Mesh Refinement

20th AIAA Computational Fluid Dynamics Conference, 2011
At present, all output-based mesh adaptation methods in the existing literature have adopted the discrete adjoint approach which, depending on the structure of the code, could be very complex to implement. In this work, we aim to investigate the continuous adjoint approach for adaptive mesh refinement, with an application to the compressible Euler ...
Yi Li, Antony Jameson, Yves Allaneau
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Adjoint Analysis of Mixed Continuous/Discrete Systems in Simulink

AIAA Modeling and Simulation Technologies Conference, 2010
The adjoint simulation method is a well established and efficient tool for gaining insight and understanding of key parameters affecting the behaviour and performance of a guided missile homing system. Traditionally, the method has been employed by various missile companies during the preliminary and conceptual stages of new missile programs.
Bucco, D., Weiss, M.
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Continuous energy adjoint Monte Carlo

Progress in Nuclear Energy, 1990
Abstract In some applications looking in the adjoint mode is heavily favoured over the forward calculation. Shielding work in which a large source is directing particles at a small target is one such application for example. The paper addresses the problem of forming the transpose of the secondary energy laws including the treatment of S ( α , β ...
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Compressor Blade Optimization Using a Continuous Adjoint Formulation

Volume 6: Turbomachinery, Parts A and B, 2006
In this paper, a constrained optimization algorithm is formulated and utilized to improve the aerodynamic performance of a 3D peripheral compressor blade cascade. The cascade efficiency is measured in terms of entropy generation along the developed flowfield, which defines the field objective functional to be minimized. Its gradient with respect to the
Dimitiros I. Papadimitriou   +1 more
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Continuous adjoint method for Air Traffic Flow Management

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
This article develops a model of Air Traffic Flow using an Eulerian description with hyperbolic partial differential equations. Existence and uniqueness (well-posedness) of a solution to the system of partial differential equations on a network is established. Subsequently, an optimal control problem is studied with the junction coefficients as control
Issam S. Strub, Alexandre M. Bayen
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Evaluating Gradients in Optimal Control: Continuous Adjoints Versus Automatic Differentiation

Journal of Optimization Theory and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Griesse, R., Walther, A.
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