The Dual Characterization of Structured and Skewed Structured Singular Values
Mutti-Ur RehmanDepartment of Mathematics, Akfa University, Tashkent 111221, UzbekistanJehad AlzabutDeparment of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaTaqwa AteeqDepartment of Applied Mathematics, Arab American University, Jenin 44862, PalestineJutarat KongsonResearch Group of Theoretical and Computation in Applied Science, Department of Mathematics, Faculty of Science, Burapha University, Chonburi 20131, ThailandWeerawat SudsutadDepartment of Statistics, Faculty of Science, Ramkhamhaeng University, Bangkok 10240, Thailand
ABI
Аннотация
The structured singular values and skewed structured singular values are the well-known mathematical quantities and bridge the gap between linear algebra and system theory. It is well-known fact that an exact computation of these quantities is NP-hard. The NP-hard nature of structured singular values and skewed structured singular values allow us to provide an estimations of lower and upper bounds which guarantee the stability and instability of feedback systems in control. In this paper, we present new results on the dual characterization of structured singular values and skewed structured singular values. The results on the estimation of upper bounds for these two quantities are also computed.
Перевод пока недоступен