On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems
المؤلف
المصدر
Discrete Dynamics in Nature and Society
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-17، 17ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-10-04
دولة النشر
مصر
عدد الصفحات
17
التخصصات الرئيسية
الملخص EN
This paper investigates some parallel relations between the operators I-G and G in Hilbert spaces in such a way that the pseudocontractivity, asymptotic pseudocontractivity, and asymptotic pseudocontractivity in the intermediate sense of one of them are equivalent to the accretivity, asymptotic accretivity, and asymptotic accretivity in the intermediate sense of the other operator.
If the operators are self-adjoint then the obtained accretivity-type properties are also passivity-type properties.
Such properties are very relevant in stability theory since they refer to global stability properties of passive feed-forward, in general, nonlinear, and time-varying controlled systems controlled via feedback by elements in a very general class of passive, in general, nonlinear, and time-varying controllers.
These results allow the direct generalization of passivity results in controlled dynamic systems to wide classes of tandems of controlled systems and their controllers, described by G-operators, and their parallel interpretations as pseudocontractive properties of their counterpart I-G-operators.
Some of the obtained results are also directly related to input-passivity, output-passivity, and hyperstability properties in controlled dynamic systems.
Some illustrative examples are also given in the framework of dynamic systems described by extended square-integrable input and output signals.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
de La Sen, Manuel. 2017. On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1151126
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
de La Sen, Manuel. On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1151126
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
de La Sen, Manuel. On Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systems. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1151126
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1151126
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