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Volumn 55, Issue 12, 2006, Pages 971-981

IQC analysis and synthesis via nonsmooth optimization

Author keywords

IQC theory; Nonsmooth optimization; NP hard problems; Parametric uncertainty; Robust control; Robustness analysis; Structured controllers

Indexed keywords

INTEGRAL QUADRATIC CONSTRAINTS (IQC); PARAMETRIC UNCERTAINTY; ROBUSTNESS ANALYSIS; STRUCTURED CONTROLLERS;

EID: 33749987037     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2006.06.008     Document Type: Article
Times cited : (34)

References (25)
  • 1
    • 85180838983 scopus 로고    scopus 로고
    • ∞ synthesis, European J. Control (2006), to appear.
  • 2
    • 31344446586 scopus 로고    scopus 로고
    • Controller design via nonsmooth multi-directional search
    • Apkarian P., and Noll D. Controller design via nonsmooth multi-directional search. SIAM J. Control Optim. 44 (2006) 1923-1949
    • (2006) SIAM J. Control Optim. , vol.44 , pp. 1923-1949
    • Apkarian, P.1    Noll, D.2
  • 4
    • 33749994530 scopus 로고    scopus 로고
    • P. Apkarian, D. Noll, Nonsmooth optimization for multiband frequency domain control design, Automatica (2006), to appear.
  • 5
    • 33749985791 scopus 로고    scopus 로고
    • 2 syntheses, submitted for publication.
  • 8
    • 0040600146 scopus 로고
    • Full convergence of the steepest descent method with inexact line searches
    • Burachik R., Drummond L., and Svaiter B. Full convergence of the steepest descent method with inexact line searches. J. Optim. 32 (1995) 137-146
    • (1995) J. Optim. , vol.32 , pp. 137-146
    • Burachik, R.1    Drummond, L.2    Svaiter, B.3
  • 10
    • 0016624432 scopus 로고
    • The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices
    • Cullum J., Donath W., and Wolfe P. The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices. Math. Programming Stud. 3 (1975) 35-55
    • (1975) Math. Programming Stud. , vol.3 , pp. 35-55
    • Cullum, J.1    Donath, W.2    Wolfe, P.3
  • 12
    • 0034415006 scopus 로고    scopus 로고
    • Spectral bundle method for semidefinite programming
    • Helmberg C., and Rendl F. Spectral bundle method for semidefinite programming. SIAM J. Optim. 10 (2000) 673-696
    • (2000) SIAM J. Optim. , vol.10 , pp. 673-696
    • Helmberg, C.1    Rendl, F.2
  • 15
    • 33749995295 scopus 로고    scopus 로고
    • U. Jönsson, Robustness analysis of uncertain and nonlinear systems, Ph.D. Thesis, Lund Institute of Technology, Lund, Sweden, 1996.
  • 16
    • 0347355016 scopus 로고    scopus 로고
    • Specialized fast algorithms for IQC feasibility and optimization problems
    • Kao A.J.C.-Y., and Megretski A. Specialized fast algorithms for IQC feasibility and optimization problems. Automatica 40 (2004) 239-252
    • (2004) Automatica , vol.40 , pp. 239-252
    • Kao, A.J.C.-Y.1    Megretski, A.2
  • 18
    • 0031162465 scopus 로고    scopus 로고
    • System analysis via integral quadratic constraints
    • Megretski A., and Rantzer A. System analysis via integral quadratic constraints. IEEE Trans. Autom. Control 42 (1997) 819-830
    • (1997) IEEE Trans. Autom. Control , vol.42 , pp. 819-830
    • Megretski, A.1    Rantzer, A.2
  • 19
    • 27244452234 scopus 로고    scopus 로고
    • Spectral bundle methods for nonconvex maximum eigenvalue functions: first-order methods
    • Noll D., and Apkarian P. Spectral bundle methods for nonconvex maximum eigenvalue functions: first-order methods. Math. Programming Ser. B 104 (2005) 701-727
    • (2005) Math. Programming Ser. B , vol.104 , pp. 701-727
    • Noll, D.1    Apkarian, P.2
  • 20
    • 0002928322 scopus 로고    scopus 로고
    • A second-order bundle method to minimize the maximum eigenvalue function
    • Oustry F. A second-order bundle method to minimize the maximum eigenvalue function. Math. Programming Ser. A 89 (2000) 1-33
    • (2000) Math. Programming Ser. A , vol.89 , pp. 1-33
    • Oustry, F.1
  • 21
    • 0001110772 scopus 로고
    • On minimizing the maximum eigenvalue of a symmetric matrix
    • Overton M. On minimizing the maximum eigenvalue of a symmetric matrix. SIAM J. Matrix Anal. Appl. 9 (1988) 256-268
    • (1988) SIAM J. Matrix Anal. Appl. , vol.9 , pp. 256-268
    • Overton, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.