The application of the method of quasilinearization to the computation of optimal control
Quasilinearization method applied to optimal control problem computations - reentry trajectories
Paine, G.↗
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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.↗
On the controllability of delay-differential systems.
Controllability type applicable to optimal control problems for systems described by delay differential equations
Weiss, L.↗
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.↗
Learning applied to successive approximation algorithms.
Linear reinforcement learning scheme to accelerate convergence of successive approximation algorithms in optimal control problems
Saridis, G. N.↗
Development of constructive existence theorems in optimal control theory Final report
Constructive existence theorems, function approximations, and computational algorithms developed for optimal control problems
Guinn, T.↗
Time and Fuel Optimal Controls in the Presence of Measurement Uncertainties
Time and fuel optimal control problems associated with controlling spacecraft under noisy measurements and bounded control inputs
Dessau, H. R.↗
Numerical methods for the solution of the degenerate nonlinear elliptic equations arising in optimal stochastic control theory.
Optimal control problems for Markov chains solved by iterative method, using nonlinear finite difference equations to approximate degenerate elliptic functions
Kleinman, A. J.↗
Optimal control of the linear regulator with constant disturbances.
Optimal control problem for linear regulators with constant external disturbance
Johnson, C. D.↗
On suboptimal controls.
Suboptimal control with high performance index as alternative in restricted class of optimal control problems
Verma, J. P.↗
Singular extremaloids in optimal control theory and the calculus of variations
Definitions of extremaloids in relation to optimal control problems and Lagrange problems based on Pontryagin principles
Straeter, T. A.↗
An algorithm for minimum energy control
Algorithm for fixed time minimum energy discrete optimal control problems of linear plants with convex constraints imposed on terminal state
Deparis, M.↗
On the removal of ill conditioning effects in the computation of optimal controls
Dual type method solving discrete optimal control problems with linear plants, convex cost and constraint taking into account dynamic structure
Polak, E.↗
On second order necessary conditions of optimality
Second order necessary conditions of optimality with straightforward application to nonlinear programming of optimal control problems
Messerli, E. J.↗
Sensitivity design of output feedback controllers
Output feedback control systems design, considering closed loop system sensitivity to plant parameters based on linear optimal control problem
Cassidy, J. F., Jr.↗
Necessary conditions for joining optimal singular and nonsingular subarcs
Necessary conditions for optimality of junctions between singular and nonsingular subarcs for singular optimal control problems
Mc Daniel, J. P.↗
Optimal control using imbedding of the terminal conditions
Use of imbedding theory to construct autonomous optimal control problems with free termination time
Montgomery, R. C.↗
Optimal control theory for non-scalar-valued performance criteria
The theory of optimal control for nonscalar-valued performance criteria is discussed. In the space, where the performance criterion attains its value, the relations better than, worse than, not better than, and not worse than are defined by a partial order relation. The notion of optimality splits up into superiority and non-inferiority, because worse than is not the complement of better than, in general. A superior solution is better than every other solution. A noninferior solution is not worse than any other solution. Noninferior solutions have been investigated particularly for vector-valued performance criteria. Superior solutions for non-scalar-valued performance criteria attaining their values in abstract partially ordered spaces are emphasized. The main result is the infimum principle which constitutes necessary conditions for a control to be a superior solution to an optimal control problem.
Gerring, H. P.↗