Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Leonid T. Aschepkov"'
Publikováno v:
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783319497808
On the example of control by the mechanical system we illustrate the features of the optimal control problem. It is covered the main issues of optimal control theory: the causes of arising, the subject, objectives and relation with other mathematical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::251c65f2e99dc2dd1408ad0ff0f9bab4
https://doi.org/10.1007/978-3-030-91029-7_1
https://doi.org/10.1007/978-3-030-91029-7_1
Publikováno v:
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783319497808
The necessary optimality conditions in the general problem of optimal control are set out in several stages. Initially, for optimal process we construct a parameter family of “close” varied processes. The requirement for admissibility of varied p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2376b86fc006d5f1355dc382e1b6a36
https://doi.org/10.1007/978-3-030-91029-7_12
https://doi.org/10.1007/978-3-030-91029-7_12
Publikováno v:
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783319497808
The problem of observability–the possibility at a given time to define and calculate the position of a controlled object by observable data is explored. We establish the criteria of observability for homogeneous, non-homogeneous, and stationary obs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66531194bda7548a6fb0e735fdff94cf
https://doi.org/10.1007/978-3-030-91029-7_7
https://doi.org/10.1007/978-3-030-91029-7_7
Publikováno v:
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783319497808
With the aid of “small” variations of a fixed basis process we construct and describe the family of “close” processes by means of linear approximation. We clarify the concept of small variations and close processes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0112c21699a4bfa2c143d3eac07217db
https://doi.org/10.1007/978-3-030-91029-7_10
https://doi.org/10.1007/978-3-030-91029-7_10
Publikováno v:
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783319497808
We consider the two-point performance problem of translating a controlled object from one position to another one by trajectory of a linear system for minimal time. The conditions for solvability of the problem, the optimality criteria, and the relat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe63b489fcaaf65ca589cc50d8634a88
https://doi.org/10.1007/978-3-030-91029-7_5
https://doi.org/10.1007/978-3-030-91029-7_5
This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main the
Publikováno v:
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783030910280
We study the controllability of linear systems–the existence of processes and their construction according with specified conditions on the ends of a trajectory. The criteria of point-to-point and complete controllability are established. We invest
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c302fcfd9a4cd5e647c98ecf6559929
https://doi.org/10.1007/978-3-319-49781-5_4
https://doi.org/10.1007/978-3-319-49781-5_4
Publikováno v:
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783030910280
The basic concepts of optimal control theory–controlled object, control, trajectory, process, and mathematical model are introduced. The questions of correctness of the mathematical model—the unambiguous description of the processes are discussed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27220b65fa9379b57bd46f42b6e79cc1
https://doi.org/10.1007/978-3-319-49781-5_2
https://doi.org/10.1007/978-3-319-49781-5_2
Publikováno v:
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783030910280
The concept of the synthesized control and synthesis for optimal performance system is introduced. The reverse movement method is described. Examples of applying this method for the synthesis of stationary second-order systems are given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45741d6642112f08e16b822d5b434611
https://doi.org/10.1007/978-3-319-49781-5_6
https://doi.org/10.1007/978-3-319-49781-5_6
Publikováno v:
Optimal Control ISBN: 9783319497808
Optimal Control ISBN: 9783030910280
Optimal Control ISBN: 9783030910280
We describe the specific elements of optimal control problems: objective functions, mathematical model, constraints. It is introduced necessary terminology. We distinguish three classes of problems: the simplest problem, two-point performance problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2decc472ef6863ba976bf89dd3bebb2b
https://doi.org/10.1007/978-3-319-49781-5_9
https://doi.org/10.1007/978-3-319-49781-5_9