Computational and approximate methods of optimal control

Chernousko, F. L.; Kolmanovskii, V. B.

doi:10.1007/bf01098370

Cited by 25 publications

(4 citation statements)

References 191 publications

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“…In these cases, the approximate methods are used [17][18][19][20][21] for solution of optimal control problem, and the resulting solution was called quasioptimal [22].…”

Section: Methodsmentioning

confidence: 99%

Algorithms of the information stimulation system of Russian citizens’ socio-optimal actions

Geraskin¹

2017

Collection of Selected Papers of the III International Conference on Information Technology and Nanotechnology

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The problem of the development of the state information stimulation system of Russian citizens' socio-optimal actions is considered according to the optimum of collective utility function as criterion. Conceptual model of the system is formed according to the conditions of individual rationality, Pareto efficiency, nonmanipulability and dynamic quasi-optimality. The algorithms of the information system are developed such as a process of step-by-step approximations. The system's criterion on each approximation does not decrease and the constraint on the stimulation fund is fulfilled.

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“…In these cases, the approximate methods are used [17][18][19][20][21] for solution of optimal control problem, and the resulting solution was called quasioptimal [22].…”

Section: Methodsmentioning

confidence: 99%

Algorithms of the information stimulation system of Russian citizens’ socio-optimal actions

Geraskin¹

2017

Collection of Selected Papers of the III International Conference on Information Technology and Nanotechnology

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“…Remark 1. It is known (see, e.g., [9][10][11]) that solely conditions (2.11) and (2.12) are not sufficient to attain the local minimum of the fidelity criterion. It is necessary that the second variation δ 2 J = δ 2 J * is nonnegative on solutions of the system for any δu(t) = 0 when δϕ(ẋ, u) = 0; i.e.,…”

Section: Reduction To a Conditional Nonholonomic Problemmentioning

confidence: 99%

Solution of variational dynamic problems under parametric uncertainty

Tertychnyi-Dauri

2005

Probl Inf Transm

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The paper deals with a number of variational dynamic problems with parameters subject to unknown smooth drift in time. Solution schemes are considered using both the classical variational method and reduction of the original problem to a conditional nonholonomic adaptive optimal control problem. In the second case, a solution is found with the help of the dynamic programming method and a specially chosen adjustment algorithm for unknown parameters.

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“…Construction of approximations and numerical methods of searching for the whole set of Pareto-, Slater-optimal, mean-square, arbitration, and other solutions of cooperative differential games. Here, firstly, one should use computational and approximation methods of optimal controls [157] (Kolmanovskii).…”

Section: Possible Directions Of Future Researchmentioning

confidence: 99%