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In this paper a optimal, nonlinear problem for general two-dimensional, stationary, discrete systems is presented. The state and control vectors are subject to restrictions in this optimal problem. Using a method of transformation for the system and the performance index, the problem of finding the optimal sequence of control vectors is solved by a method of ma-thematical programming. The necessary conditions are formulated. The simple numerical example illustrates the presented method.
Barbara Biły. "Nonlinear optimal control problem with constraints for general 2-D systems." Mathematica Applicanda 22.36 (1993): null. <http://eudml.org/doc/293219>.
@article{BarbaraBiły1993, abstract = {In this paper a optimal, nonlinear problem for general two-dimensional, stationary, discrete systems is presented. The state and control vectors are subject to restrictions in this optimal problem. Using a method of transformation for the system and the performance index, the problem of finding the optimal sequence of control vectors is solved by a method of ma-thematical programming. The necessary conditions are formulated. The simple numerical example illustrates the presented method.}, author = {Barbara Biły}, journal = {Mathematica Applicanda}, keywords = {Problems involving ordinary differential equations; Discrete-time systems}, language = {eng}, number = {36}, pages = {null}, title = {Nonlinear optimal control problem with constraints for general 2-D systems}, url = {http://eudml.org/doc/293219}, volume = {22}, year = {1993}, }
TY - JOUR AU - Barbara Biły TI - Nonlinear optimal control problem with constraints for general 2-D systems JO - Mathematica Applicanda PY - 1993 VL - 22 IS - 36 SP - null AB - In this paper a optimal, nonlinear problem for general two-dimensional, stationary, discrete systems is presented. The state and control vectors are subject to restrictions in this optimal problem. Using a method of transformation for the system and the performance index, the problem of finding the optimal sequence of control vectors is solved by a method of ma-thematical programming. The necessary conditions are formulated. The simple numerical example illustrates the presented method. LA - eng KW - Problems involving ordinary differential equations; Discrete-time systems UR - http://eudml.org/doc/293219 ER -