书目名称 | Infinite Horizon Optimal Control | 副标题 | Theory and Applicati | 编辑 | D. A. Carlson,A. Haurie | 视频video | | 丛书名称 | Lecture Notes in Economics and Mathematical Systems | 图书封面 |  | 描述 | This monograph deals with various classes of deterministic continuous time optimal control problems wh ich are defined over unbounded time intervala. For these problems, the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts; referred to here as "overtaking", "weakly overtaking", "agreeable plans", etc. ; have been proposed. The motivation for studying these problems arisee primarily from the economic and biological aciences where models of this nature arise quite naturally since no natural bound can be placed on the time horizon when one considers the evolution of the state of a given economy or species. The reeponsibility for the introduction of this interesting class of problems rests with the economiste who first studied them in the modeling of capital accumulation processes. Perhaps the earliest of these was F. Ramsey who, in his seminal work on a theory of saving in 1928, considered a dynamic optimization model defined on an infinite time horizon. Briefly, this problem can be described as a "Lagrange problem with unbo | 出版日期 | Book 19871st edition | 关键词 | dynamical systems; economics; nonlinear systems | 版次 | 1 | doi | https://doi.org/10.1007/978-3-662-02529-1 | isbn_ebook | 978-3-662-02529-1Series ISSN 0075-8442 Series E-ISSN 2196-9957 | issn_series | 0075-8442 | copyright | Springer-Verlag Berlin Heidelberg 1987 |
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