The space decomposition theory for a class of semi-infinite maximum eigenvalue optimizations
From MaRDI portal
Publication:1725116
DOI10.1155/2014/845017zbMath1474.49094OpenAlexW2072995627WikidataQ59041984 ScholiaQ59041984MaRDI QIDQ1725116
Xi-Jun Liang, Li-Ping Pang, Ming Huang, Zun-Quan Xia
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/845017
Convex programming (90C25) Synthesis problems (93B50) Hermitian, skew-Hermitian, and related matrices (15B57) Variational methods for eigenvalues of operators (49R05)
Related Items
The space decomposition method for the sum of nonlinear convex maximum eigenvalues and its applications ⋮ A fast space-decomposition scheme for nonconvex eigenvalue optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A decomposition algorithm for convex nondifferentiable minimization with errors
- A superlinear space decomposition algorithm for constrained nonsmooth convex program
- An approximate decomposition algorithm for convex minimization
- Low-order control design for LMI problems using alternating projection methods
- A \({\mathcal {VU}}\)-decomposition method for a second-order cone programming problem
- Second-order nonsmooth optimization for \(H_{\infty}\) synthesis
- A spectral quadratic-SDP method with applications to fixed-order \(H_2\) and \(H_\infty\) synthesis
- Spectral bundle methods for non-convex maximum eigenvalue functions: first-order methods
- Spectral bundle methods for non-convex maximum eigenvalue functions: second-order methods
- On $\mathcalVU$-theory for Functions with Primal-Dual Gradient Structure
- Semi-Infinite Programming: Theory, Methods, and Applications
- State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
- Optimization and nonsmooth analysis
- Algorithms for the design of control systems subject to singular value inequalities
- A linear matrix inequality approach to H∞ control
- Linear Matrix Inequalities in System and Control Theory
- A cone complementarity linearization algorithm for static output-feedback and related problems
- Variational Analysis
- NP-Hardness of Some Linear Control Design Problems
- Robust Control via Sequential Semidefinite Programming
- Partially Augmented Lagrangian Method for Matrix Inequality Constraints
- 𝒱𝒰-smoothness and proximal point results for some nonconvex functions
- The 𝒰-Lagrangian of a convex function
- The $\U$-Lagrangian of the Maximum Eigenvalue Function
- On Eigenvalue Optimization
- Nonsmooth H∞Synthesis
This page was built for publication: The space decomposition theory for a class of semi-infinite maximum eigenvalue optimizations