H∞-norm evaluation for a transfer matrix via bisection algorithm
نویسندگان
چکیده
In this paper, we compute H?-norm of a transfer matrix, via bisection algorithm. The algorithm is given and applied some problems. problems are choosen from various areas control theory such as aircraft models decentralized interconnected systems.
منابع مشابه
A Fast Global Optimization Algorithm for Computing the H∞ Norm of the Transfer Matrix of Linear Dynamical System
In this paper, we construct a global optimization algorithm to compute the H∞ norm of the transfer matrix of linear dynamic system. The algorithm takes the benefit of the fact that the generalized eigenvalue problem with Hamiltonian or symplectic structure not only gives a finite number of sets of subintervals of real axis among which the global maximum of the frequency response function reside...
متن کاملA numerical algorithm for solving a class of matrix equations
In this paper, we present a numerical algorithm for solving matrix equations $(A otimes B)X = F$ by extending the well-known Gaussian elimination for $Ax = b$. The proposed algorithm has a high computational efficiency. Two numerical examples are provided to show the effectiveness of the proposed algorithm.
متن کاملMatrix completion via max-norm constrained optimization
This paper studies matrix completion under a general sampling model using the max-norm as a convex relaxation for the rank of the matrix. The optimal rate of convergence is established for the Frobenius norm loss. It is shown that the max-norm constrained minimization method is rate-optimal and it yields a more stable approximate recovery guarantee, with respect to the sampling distributions, t...
متن کاملA Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
The matrix 1-norm estimation algorithm used in LAPACK and various other software libraries and packages has proved to be a valuable tool. However, it has the limitations that it offers the user no control over the accuracy and reliability of the estimate and that it is based on level 2 BLAS operations. A block generalization of the 1-norm power method underlying the estimator is derived here an...
متن کاملAN ALGORITHM FOR FINDING THE EIGENPAIRS OF A SYMMETRIC MATRIX
The purpose of this paper is to show that ideas and techniques of the homotopy continuation method can be used to find the complete set of eigenpairs of a symmetric matrix. The homotopy defined by Chow, Mallet- Paret and York [I] may be used to solve this problem with 2""-n curves diverging to infinity which for large n causes a great inefficiency. M. Chu 121 introduced a homotopy equation...
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: Thermal Science
سال: 2022
ISSN: ['0354-9836', '2334-7163']
DOI: https://doi.org/10.2298/tsci22s2745g