We consider a construction program control problem for orbital telescope under restrictions and parameters and structure uncertainty of its dynamic model. The calculation of needed control is based on stable to input ...
ISBN:
(纸本)9785900780672
We consider a construction program control problem for orbital telescope under restrictions and parameters and structure uncertainty of its dynamic model. The calculation of needed control is based on stable to input data small errors direct technique of approximate solutions construction of route problems for controllable nonlinear systems. The modified variant of iteration algorithm calculation realization for direct technique has the structure that enables to rebuild algorithm on each calculation step by previous iteration results. Such algorithm construction enables to compute program controls for wide spectra of input data under problem statement with minimal step number. By numerical research we show that "direct" control obtained with a help stable in Tichonov sense direct technique computational algorithm for orbital telescope model as a single solid provides needed accuracy of motion realization for telescope model with non-rigid solar batteries panels and perturbed dynamical characteristics.
The topological-algebraic characteristics of ordinary and distributed linear differential extensions are studied, and a qualitative analysis is carried out of the existence of strong differential (A, B)-models realize...
The categories of the vocabulary of the a posteriori mathematical modeling of dynamical systems are formalized which enable us to apply the conventional approach to studying the existence of strong irrefutable (A, B)-...
Two control problems for a state-linear controlsystem are considered: the minimization of a terminal functional representable as the difference of two convex functions (d.c. functions) and the minimization of a conve...
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Nonconvex optimization problems with an inequality constraint given by the difference of two convex functions (by a d.c. function) are considered. Two methods for finding local solutions to this problem are proposed t...
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For linear time-invariant controlsystems under two types of constraints on control, geometric bounds and constraints on the total impulse of control, the asymptotic properties of the reachable sets are studied. The r...
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First and second order successive improvement algorithms to solve problems of optimal control of logic-dynamic systems are developed based on Krotov type sufficient conditions of optimality.
First and second order successive improvement algorithms to solve problems of optimal control of logic-dynamic systems are developed based on Krotov type sufficient conditions of optimality.
For linear time-invariant controlsystems under two types of constraints on control, geometric bounds and constraints on the total impulse of control, the asymptotic properties of the reachable sets are studied. The r...
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For linear time-invariant controlsystems under two types of constraints on control, geometric bounds and constraints on the total impulse of control, the asymptotic properties of the reachable sets are studied. The reachable sets can be represented as a product of a scaling matrix and a normalized reachable set. The scaling matrix is an elementary function of time, and, in the long run, the normalized reachable set approaches a convex body depending on time quasiperiodically in the impulsive case, and a fixed convex body in the geometric case.
We consider a class of problems of multicriteria selection, where final set of alternatives is known, a number of alternatives can be sufficiently great, they can be evaluated both quantitatively and qualitatively. In...
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