Bounds and optimization of the minimum eigenvalue for a vibrating system
نویسندگان
چکیده
منابع مشابه
Bounds for the Minimum Eigenvalue of
In a recent paper Melman 12] derived upper bounds for the smallest eigen-value of a real symmetric Toeplitz matrix in terms of the smallest roots of rational and polynomial approximations of the secular equation f() = 0, the best of which being constructed by the (1; 2)-Pad e approximation of f. In this paper we prove that this bound is the smallest eigenvalue of the projection of the given eig...
متن کاملAn Optimization Approach for Minimum Norm and Robust Partial Quadratic Eigenvalue Assignment Problems for Vibrating Structures
The Partial Quadratic Eigenvalue Assignment Problem (PQEVAP) concerns the reassignment of a small number of undesirable eigenvalues of a quadratic matrix pencil, while leaving the remaining large number of eigenvalues and the corresponding eigenvectors unchanged. The problem arises in controlling undesirable resonance in vibrating structures and in stabilizing control systems. The solution of t...
متن کاملRobust and Minimum Norm Partial Quadratic Eigenvalue Assignment in Vibrating Systems: A New Optimization Approach
The partial quadratic eigenvalue assignment problem (PQEVAP) concerns reassigning a few undesired eigenvalues of a quadratic matrix pencil to suitably chosen locations and keeping the other large number of eigenvalues and eigenvectors unchanged (no spill-over). The problem naturally arises in controlling dangerous vibrations in structures by means of active feedback control design. For practica...
متن کاملthe innovation of a statistical model to estimate dependable rainfall (dr) and develop it for determination and classification of drought and wet years of iran
آب حاصل از بارش منبع تأمین نیازهای بی شمار جانداران به ویژه انسان است و هرگونه کاهش در کم و کیف آن مستقیماً حیات موجودات زنده را تحت تأثیر منفی قرار می دهد. نوسان سال به سال بارش از ویژگی های اساسی و بسیار مهم بارش های سالانه ایران محسوب می شود که آثار زیان بار آن در تمام عرصه های اقتصادی، اجتماعی و حتی سیاسی- امنیتی به نحوی منعکس می شود. چون میزان آب ناشی از بارش یکی از مولفه های اصلی برنامه ...
15 صفحه اولGenerating Eigenvalue Bounds Using Optimization
Many classical and new inequalities can be derived using optimization techniques. One first formulates the desired inequality as the maximum (minimum) of a function subject to appropriate constraints. The inequality, along with conditions for equality to hold, can then be derived and proved, provided that the optimization problem can be explicitly solved. For example, consider the Rayleigh prin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2013
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2013.1.48