Zobrazeno 1 - 10
of 16
pro vyhledávání: '"A.V. Pokatayev"'
Publikováno v:
IFAC Proceedings Volumes. 23:385-390
A new approach to the solution of nonlinear programming prob-lems is suggested. The main salient feature of the approach is a network interpretation of nonlinear functions. The case of nonsmooth problems is considered. Constructive algorithms for an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27399b94bd08cf5948fd4efef1bd2a41
https://doi.org/10.1016/s1474-6670(17)51946-1
https://doi.org/10.1016/s1474-6670(17)51946-1
Publikováno v:
Analysis and Optimization of Systems ISBN: 3540135529
The history of optimal control processes has begun with the discovery of Pontryagin maximum principle [1]. This classical result has allowed to solve many applied problems and has become the basic means at constructing numerical methods of optimal co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d29614dc5dfe719abfe69fb8ea46056
https://doi.org/10.1007/bfb0006276
https://doi.org/10.1007/bfb0006276
A new approach to the solution of nonlinear programming problems is suggested. The main salient feature of the approach is a network interpretation of nonlinear functions. The case of nonsmooth problems is considered. Constructive algorithms for an a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdb8fcb1b1d6469193b34746467108f3
https://doi.org/10.1016/b978-0-08-041263-4.50067-1
https://doi.org/10.1016/b978-0-08-041263-4.50067-1
Autor:
A.V. Pokatayev
Publikováno v:
European Journal of Operational Research. 24:194-205
Geometric programming (GP) is one of the most important parts of mathematical programming. GP models are widely applied in different spheres of science, technology, national economy [1,2]. The paper presents six new algorithms of linear and polynomia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::01d35ecb1ea853bf7bed2669de432b17
https://doi.org/10.1016/0377-2217(86)90041-x
https://doi.org/10.1016/0377-2217(86)90041-x
Publikováno v:
IFAC Proceedings Volumes. 18:53-58
Algorithms solving optimal control problems for linear discrete systems and linear continuous systems (without discretization) are discussed. The algorithms are based on a new approach to solving linear programming problems worked out in Minsk. (USSR
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aad4a066cf6ac9b28a1b9bd2f3702f27
https://doi.org/10.1016/s1474-6670(17)60914-5
https://doi.org/10.1016/s1474-6670(17)60914-5
Publikováno v:
IFAC Proceedings Volumes. 15:339-344
The report contains the algorithms of solution of linear, piece-wise linear, quadratic, geometric programming and optimal control problems. The ideas of the monograph “Linear Programming Methods“ by R.Gabasov and F.M.Kirillova (BGU Publishing Hou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3f9dd75807fc251581b4b6838f074ba
https://doi.org/10.1016/s1474-6670(17)62844-1
https://doi.org/10.1016/s1474-6670(17)62844-1
Publikováno v:
IFAC Proceedings Volumes. 20:109-114
Algorithms of solving optimal control problems of dynamic systems with terminal and phase constraints are constructed. Control systems with nonlinear input and quasi-linear control systems are considered. Algorithms of solving problems with convex qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5842652984a7289538979a600b0d8df
https://doi.org/10.1016/s1474-6670(17)55073-9
https://doi.org/10.1016/s1474-6670(17)55073-9
Algorithms solving optimal control problems for linear discrete systems and linear continuous systems (without discretization) are discussed. The algorithms are based on a new approach to solving linear programming problems worked out in Minsk (USSR)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::509c5888e81d54c4e2675322b61905fd
https://doi.org/10.1016/b978-0-08-031665-9.50013-4
https://doi.org/10.1016/b978-0-08-031665-9.50013-4
The report contains the algorithms of solution of linear, piece-wise linear, quadratic, geometric programming and optimal control problems. The ideas of the monograph “Linear Programming Methods” by R.Gabasov and F.M.Kirillova (BGU Publishing Hou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00ce4aaff6ca5482d79f820e875f4f61
https://doi.org/10.1016/b978-0-08-029352-3.50053-2
https://doi.org/10.1016/b978-0-08-029352-3.50053-2
Publikováno v:
IFAC Proceedings Volumes. 18:227
Summary I. The new results in the field of constructive theory [I] of optimal control are given. The quadratic problems of optimal control: (1) c ′ x t 1 + x ′ t 1 D x t 1 → min ; (2) ∫ t o t 1 [ x t ′ D x t + C u 2 t ] d t → min , c ≥
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10602585b4620ff5ae603134b2980eaa
https://doi.org/10.1016/s1474-6670(17)69231-0
https://doi.org/10.1016/s1474-6670(17)69231-0