Robust and Efficient Methods for Approximation and Optimization of Stability Measures
暂无分享,去创建一个
[1] ScienceDirect,et al. Applied numerical mathematics , 1985 .
[2] L. Dai,et al. Singular Control Systems , 1989, Lecture Notes in Control and Information Sciences.
[3] Michael L. Overton,et al. Stability Optimization for Polynomials and Matrices , 2014 .
[4] R. Dembo,et al. INEXACT NEWTON METHODS , 1982 .
[5] M. Overton,et al. FAST APPROXIMATION OF THE H∞ NORM VIA OPTIMIZATION OVER SPECTRAL VALUE SETS∗ , 2012 .
[6] Michael L. Overton,et al. Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix , 2011, SIAM J. Matrix Anal. Appl..
[7] Stefan M. Wild,et al. Benchmarking Derivative-Free Optimization Algorithms , 2009, SIAM J. Optim..
[8] C. Loan. How Near is a Stable Matrix to an Unstable Matrix , 1984 .
[9] A. C. Aitken. XXV.—On Bernoulli's Numerical Solution of Algebraic Equations , 1927 .
[10] M. Steinbuch,et al. A fast algorithm to computer the H ∞ -norm of a transfer function matrix , 1990 .
[11] Ying Xiong. Nonlinear Optimization , 2014 .
[12] Adrian S. Lewis,et al. HIFOO - A MATLAB package for fixed-order controller design and H ∞ optimization , 2006 .
[13] Michael L. Overton,et al. A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization , 2012, SIAM J. Optim..
[14] Edward J. Davison,et al. A formula for computation of the real stability radius , 1995, Autom..
[15] Jorge J. Moré,et al. Digital Object Identifier (DOI) 10.1007/s101070100263 , 2001 .
[16] H. Sadok,et al. Vector extrapolation methods. applications and numerical comparison , 2000 .
[17] Jorge Nocedal,et al. A line search exact penalty method using steering rules , 2010, Mathematical Programming.
[18] Krzysztof C. Kiwiel,et al. Convergence of the Gradient Sampling Algorithm for Nonsmooth Nonconvex Optimization , 2007, SIAM J. Optim..
[19] Receiver operating characteristic - Wikipedia, the free encyclopedia , 2015 .
[20] A. Lewis,et al. Robust stability and a criss‐cross algorithm for pseudospectra , 2003 .
[21] L. Trefethen,et al. Spectra and Pseudospectra , 2020 .
[22] Michael L. Overton,et al. Digital Object Identifier (DOI) 10.1007/s101070100225 , 2022 .
[23] Michael L. Overton,et al. Some Regularity Results for the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix , 2012, SIAM J. Optim..
[24] Danny C. Sorensen,et al. Deflation Techniques for an Implicitly Restarted Arnoldi Iteration , 1996, SIAM J. Matrix Anal. Appl..
[25] J. Tsitsiklis,et al. Three problems on the decidability and complexity of stability , 1999 .
[26] Timothy A. Davis,et al. Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves , 2009, TOMS.
[27] Adrian S. Lewis,et al. Nonsmooth optimization via quasi-Newton methods , 2012, Mathematical Programming.
[28] S. Cabay,et al. A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences , 1976 .
[29] Jorge Nocedal,et al. Steering exact penalty methods for nonlinear programming , 2008, Optim. Methods Softw..
[30] Paul Van Dooren,et al. Calculating the HINFINITY-norm Using the Implicit Determinant Method , 2014, SIAM J. Matrix Anal. Appl..
[31] Benjamin J. Keele,et al. Cambridge University Press v. Georgia State University , 2016 .
[32] Daniel Kressner,et al. Subspace Methods for Computing the Pseudospectral Abscissa and the Stability Radius , 2014, SIAM J. Matrix Anal. Appl..
[33] R. Fletcher. Practical Methods of Optimization , 1988 .
[34] D. Hinrichsen,et al. Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness , 2010 .
[35] S. Boyd,et al. A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L ∞ -norm , 1990 .
[36] Gene H. Golub,et al. Matrix computations , 1983 .
[37] M. Voigt,et al. A Structured Pseudospectral Method for H-infinity-Norm Computation of Large-Scale Descriptor Systems , 2012 .
[38] A. Sidi,et al. Extrapolation methods for vector sequences , 1987 .