On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays
المؤلف
المصدر
العدد
المجلد 2009، العدد 2009 (31 ديسمبر/كانون الأول 2009)، ص ص. 1-34، 34ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2009-08-20
دولة النشر
مصر
عدد الصفحات
34
التخصصات الرئيسية
الملخص EN
This paper investigates the causality properties of a class of linear time-delay systems under constant point delays which possess a finite set of distinct linear time-invariant parameterizations (or configurations) which, together with some switching function, conform a linear time-varying switched dynamic system.
Explicit expressions are given to define pointwisely the causal and anticausal Toeplitz and Hankel operators from the set of switching time instants generated from the switching function.
The case of the auxiliary unforced system defined by the matrix of undelayed dynamics being dichotomic (i.e., it has no eigenvalue on the complex imaginary axis) is considered in detail.
Stability conditions as well as dual instability ones are discussed for this case which guarantee that the whole system is either stable, or unstable but no configuration of the switched system has eigenvalues within some vertical strip including the imaginary axis.
It is proved that if the system is causal and uniformly controllable and observable, then it is globally asymptotically Lyapunov stable independent of the delays, that is, for any possibly values of such delays, provided that a minimum residence time in-between consecutive switches is kept or if all the set of matrices describing the auxiliary unforced delay—free system parameterizations commute pairwise.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
de La Sen, Manuel. 2009. On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-34.
https://search.emarefa.net/detail/BIM-489095
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
de La Sen, Manuel. On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays. Abstract and Applied Analysis No. 2009 (2009), pp.1-34.
https://search.emarefa.net/detail/BIM-489095
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
de La Sen, Manuel. On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-34.
https://search.emarefa.net/detail/BIM-489095
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-489095
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