کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
695772 1460663 2015 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Max-plus fundamental solution semigroups for a class of difference Riccati equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Max-plus fundamental solution semigroups for a class of difference Riccati equations
چکیده انگلیسی

Recently, a max-plus dual space fundamental solution semigroup for a class of difference Riccati equations (DREs) has been developed. This fundamental solution semigroup is represented in terms of the kernel of a specific max-plus linear operator that plays the role of the dynamic programming evolution operator in a max-plus dual space. In order to fully understand connections between this dual space fundamental solution semigroup and evolution of the value function of the underlying optimal control problem, a new max-plus primal space fundamental solution semigroup for the same class of difference Riccati equations is presented. Connections and commutation results between this new primal space fundamental solution semigroup and the recently developed dual space fundamental solution semigroup are established.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 52, February 2015, Pages 103–110
نویسندگان
, ,