A Method for Determining Optimum Re-entry Trajectories
Determining optimum atmospheric reentry trajectories using Pontryagin maximum principle
PONTRYAGIN PRINCIPLE↗
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Results for “maximum principle”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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The status of optimal control theory and applications for deterministic systems.
Deterministic optimal control, discussing Bellman dynamic programming method, Pontryagin maximum principle, orbital transfer, interplanetary guidance, etc
OPTIMAL CONTROL↗
Variational problems involving functional differential equations
Variational problems involving functional differential equations, and derivation of general maximum principle involving adjoint variables or multipliers
Banks, H. T.↗
Guidance, Flight Mechanics and Trajectory Optimization. Volume 15 - Application of Optimization Techniques
Pontryagin maximum principle, calculus of variations, and dynamic programming optimization techniques applied to trajectory and guidance problems
Abbott, A. S.↗
Optimal control and stability
Relation between optimal control problem and Liapunov functions, and calculus of variations and maximum principle methods of solving synthesis problems
Letov, A. M.↗
Solution of optimal control with bounded control amplitudes and rates.
Optimal control of linear process with bounded control amplitude and rates using maximum principle
Luh, J. Y. S.↗
Variational methods for stability of periodic equations.
Pontryagin maximum principle used to study stability of periodic equations in time optimal control problems
Brockett, R. W.↗
Optimization of production scheduling.
Production scheduling optimization by using discrete form of Pontryagin maximum principle
Fan, L.-T.↗
Optimal control in Banach spaces.
Optimal control in Banach spaces, deriving maximum principle for cost functional
Friedman, A.↗
Study of a global search algorithm for optimal control.
Adaptive random search algorithm utilizing boundary cost-function hypersurfaces measurement to implement Pontryagin maximum principle, discussing hybrid computer use, iterative solution and convergence properties
Brocker, D. H.↗
Sub-optimal closed-loop control of nonlinear systems using invariant imbedding techniques.
Suboptimal closed loop control of nonlinear systems subject to quadratic performance indices by invariant imbedding concepts and maximum principle
Melsa, J. L.↗
Construction of the minimal time control for processes with bounded control amplitudes and rates.
Linear time varying processes minimal time control by maximum principle to construct extremal control as explicit time function
Luh, J. Y. S.↗
Variational problems involving functional differential equations.
Variational or optimal control for delayed systems, involving integrated maximum principle for problems with nonlinear functional differential systems
Banks, H. T.↗
Global search algorithm for optimal control
Random-search algorithm employs local and global properties to solve two-point boundary value problem in Pontryagin maximum principle for either fixed or variable end-time problems. Mixed boundary value problem is transformed to an initial value problem. Mapping between initial and terminal values utilizes hybrid computer.
Brocker, D. H.↗
Application of modern optimal control theory to environmental control of confined spaces and life support systems
Environmental control of confined spaces and life support systems by Pontryagin maximum principle of optimal control theory, discussing cabins, heat exchanger, etc
Fan, L. T.↗
Optimal startup control of a jacketed tubular reactor
Optimal startup control of jacketed tubular reactor with first order reversible exothermic reaction, presenting distributed maximum principle for diffusional parameter system
Fan, L. T.↗
Necessary conditions for discrete parameter stochastic optimization problems
Discrete parameter stochastic optimization problems necessary conditions, deriving maximum principle
Kushner, H. J.↗
Necessary conditions for continuous parameter stochastic optimization problems
Abstract variational theory application to continuous parameter stochastic optimization problems to derive maximum principles in linear programming
Kushner, H. J.↗