Heuristic Determination of Resolving Controls for Exact and Approximate Controllability of Nonlinear Dynamic Systems
المؤلف
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-16، 16ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-05-17
دولة النشر
مصر
عدد الصفحات
16
التخصصات الرئيسية
الملخص EN
Dealing with practical control systems, it is equally important to establish the controllability of the system under study and to find corresponding control functions explicitly.
The most challenging problem in this path is the rigorous analysis of the state constraints, which can be especially sophisticated in the case of nonlinear systems.
However, some heuristic considerations related to physical, mechanical, or other aspects of the problem may allow coming up with specific hierarchic controls containing a set of free parameters.
Such an approach allows reducing the computational complexity of the problem by reducing the nonlinear state constraints to nonlinear algebraic equations with respect to the free parameters.
This paper is devoted to heuristic determination of control functions providing exact and approximate controllability of dynamic systems with nonlinear state constraints.
Using the recently developed approach based on Green’s function method, the controllability analysis of nonlinear dynamic systems, in general, is reduced to nonlinear integral constraints with respect to the control function.
We construct parametric families of control functions having certain physical meanings, which reduce the nonlinear integral constraints to a system of nonlinear algebraic equations.
Regimes such as time-harmonic, switching, impulsive, and optimal stopping ones are considered.
Two concrete examples arising from engineering help to reveal advantages and drawbacks of the technique.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Khurshudyan, Asatur Zh.. 2018. Heuristic Determination of Resolving Controls for Exact and Approximate Controllability of Nonlinear Dynamic Systems. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1209683
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Khurshudyan, Asatur Zh.. Heuristic Determination of Resolving Controls for Exact and Approximate Controllability of Nonlinear Dynamic Systems. Mathematical Problems in Engineering No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1209683
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Khurshudyan, Asatur Zh.. Heuristic Determination of Resolving Controls for Exact and Approximate Controllability of Nonlinear Dynamic Systems. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1209683
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1209683
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر