-
3
-
-
31344446586
-
Controller design via nonsmooth multi-directional search
-
P. Apkarian, D. Noll: Controller design via nonsmooth multi-directional search, SIAM J. Control Optimization 44 (2006) 1923-1949.
-
(2006)
SIAM J. Control Optimization
, vol.44
, pp. 1923-1949
-
-
Apkarian, P.1
Noll, D.2
-
4
-
-
33749987037
-
IQC analysis and synthesis via nonsmooth optimization
-
P. Apkarian, D. Noll: IQC analysis and synthesis via nonsmooth optimization, Syst. Control Lett. 55(12) (2006) 971-981.
-
(2006)
Syst. Control Lett
, vol.55
, Issue.12
, pp. 971-981
-
-
Apkarian, P.1
Noll, D.2
-
6
-
-
33847371094
-
Nonsmooth optimization for multiband frequency domain control design
-
P. Apkarian, D. Noll: Nonsmooth optimization for multiband frequency domain control design, Automatica 43(4) (2007) 724-731.
-
(2007)
Automatica
, vol.43
, Issue.4
, pp. 724-731
-
-
Apkarian, P.1
Noll, D.2
-
7
-
-
34548711232
-
Nonsmooth structured control design with applications to PID loopshaping of a process
-
P. Apkarian, V. Bompart, D. Noll: Nonsmooth structured control design with applications to PID loopshaping of a process, Int. J. Robust Nonlinear Control 17(14) (2007) 1320-1342.
-
(2007)
Int. J. Robust Nonlinear Control
, vol.17
, Issue.14
, pp. 1320-1342
-
-
Apkarian, P.1
Bompart, V.2
Noll, D.3
-
8
-
-
73349090119
-
Nonsmooth methods for analysis and synthesis with integral quadratic constraints
-
New Orleans
-
P. Apkarian, D. Noll, O. Prot: Nonsmooth methods for analysis and synthesis with integral quadratic constraints, in: Conference Proceedings, ACC (New Orleans, 2007).
-
(2007)
Conference Proceedings, ACC
-
-
Apkarian, P.1
Noll, D.2
Prot, O.3
-
9
-
-
55549118008
-
Trust region spectral bundle method for nonconvex maximum eigenvalue functions
-
P. Apkarian, D. Noll, O. Prot: Trust region spectral bundle method for nonconvex maximum eigenvalue functions, SIAM J. Optim. 19(1) (2008) 281-306.
-
(2008)
SIAM J. Optim
, vol.19
, Issue.1
, pp. 281-306
-
-
Apkarian, P.1
Noll, D.2
Prot, O.3
-
15
-
-
73349089798
-
-
S. Boyd, L. Elghaoui, E. Feron, V. Balakrishnan: Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics 15, SIAM, Philadelphia (1994).
-
S. Boyd, L. Elghaoui, E. Feron, V. Balakrishnan: Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics 15, SIAM, Philadelphia (1994).
-
-
-
-
16
-
-
36348939143
-
HIFOO - A MATLAB package for fixed-order controller design and H-infinity optimization
-
Toulouse, July
-
J. V. Burke, D. Henrion, A. S. Lewis, M. L. Overton: HIFOO - A MATLAB package for fixed-order controller design and H-infinity optimization, in: Proceedings of ROCOND 2006 (Toulouse, July 2006).
-
(2006)
Proceedings of ROCOND
-
-
Burke, J.V.1
Henrion, D.2
Lewis, A.S.3
Overton, M.L.4
-
17
-
-
23844446458
-
A robust gradient sampling algorithm for nons-mooth, nonconvex optimization
-
J. V. Burke, A. S. Lewis, M. L. Overton: A robust gradient sampling algorithm for nons-mooth, nonconvex optimization, SIAM J. Optim. 15 (2005) 751-779.
-
(2005)
SIAM J. Optim
, vol.15
, pp. 751-779
-
-
Burke, J.V.1
Lewis, A.S.2
Overton, M.L.3
-
19
-
-
0003859933
-
Optimization and Nonsmooth Analysis
-
John Wiley & Sons, New York
-
F. Clarke: Optimization and Nonsmooth Analysis, Canadian Math. Society Series, John Wiley & Sons, New York (1983).
-
(1983)
Canadian Math. Society Series
-
-
Clarke, F.1
-
20
-
-
0016624432
-
-
J. Cullum, W. Donath, P. Wolfe: The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices, in: Nondiffer. Optim., Math. Program. Study 3, M. L. Balinski, P. Wolfe (eds.), North Holland, Amsterdam (1975) 35-55.
-
J. Cullum, W. Donath, P. Wolfe: The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices, in: Nondiffer. Optim., Math. Program. Study 3, M. L. Balinski, P. Wolfe (eds.), North Holland, Amsterdam (1975) 35-55.
-
-
-
-
22
-
-
0021459322
-
Semidefinite matrix constraints in optimization
-
R. Fletcher: Semidefinite matrix constraints in optimization, SIAM J. Control Optimization 23 (1985) 493-513.
-
(1985)
SIAM J. Control Optimization
, vol.23
, pp. 493-513
-
-
Fletcher, R.1
-
23
-
-
1542285805
-
A DC piecewise affine model and a bundling technique in nonconvex nonsmooth optimization
-
A. Fuduli, M. Gaudioso, G. Giallombardo: A DC piecewise affine model and a bundling technique in nonconvex nonsmooth optimization, Optim. Methods Softw. 19 (2004) 89-102.
-
(2004)
Optim. Methods Softw
, vol.19
, pp. 89-102
-
-
Fuduli, A.1
Gaudioso, M.2
Giallombardo, G.3
-
24
-
-
4043148628
-
Minimizing nonconvex nonsmooth functions via cutting planes and proximity control
-
A. Fuduli, M. Gaudioso, G. Giallombardo: Minimizing nonconvex nonsmooth functions via cutting planes and proximity control, SIAM J. Optim. 14 (2004) 743-756.
-
(2004)
SIAM J. Optim
, vol.14
, pp. 743-756
-
-
Fuduli, A.1
Gaudioso, M.2
Giallombardo, G.3
-
25
-
-
0022808435
-
Application of modern synthesis to aircraft control: Three case studies
-
D. Gangsaas, K. Bruce, J. Blight, U.-L. Ly: Application of modern synthesis to aircraft control: three case studies, IEEE Trans. Autom. Control 31 (1986) 995-1014.
-
(1986)
IEEE Trans. Autom. Control
, vol.31
, pp. 995-1014
-
-
Gangsaas, D.1
Bruce, K.2
Blight, J.3
Ly, U.-L.4
-
27
-
-
73349087046
-
-
C. Helmberg, F. Oustry: Bundle methods to minimize the maximum eigenvalue function, in: Handbook of Semidefinite Programming. Theory, Algorithms and Applications, H. Wolkowicz et al. (ed.), Int. Ser. Oper. Res. Manag. Sci. 27, Kluwer, Dordrecht (2000) 307-337.
-
C. Helmberg, F. Oustry: Bundle methods to minimize the maximum eigenvalue function, in: Handbook of Semidefinite Programming. Theory, Algorithms and Applications, H. Wolkowicz et al. (ed.), Int. Ser. Oper. Res. Manag. Sci. 27, Kluwer, Dordrecht (2000) 307-337.
-
-
-
-
28
-
-
0034415006
-
Spectral bundle method for semidefinite programming
-
C. Helmberg, F. Rendl: 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
-
29
-
-
0031363965
-
Coordinate optimization for bi-convex matrix inequalities
-
San Diego
-
J. W. Helton, O. Merino: Coordinate optimization for bi-convex matrix inequalities, in: Proc. IEEE Conf. Decision and Control (San Diego, 1997) 3609-3613.
-
(1997)
Proc. IEEE Conf. Decision and Control
, pp. 3609-3613
-
-
Helton, J.W.1
Merino, O.2
-
30
-
-
0003316862
-
Convex Analysis and Minimization Algorithms
-
Springer, Berlin
-
J.-B. Hiriart-Urruty, C. Lemaréchal: Convex Analysis and Minimization Algorithms. Part 1: Fundamentals; Part II: Advanced Theory and Bundle Methods, Grundlehren der mathematischen Wissenschaften 305, 306, Springer, Berlin (1993).
-
(1993)
Part 1: Fundamentals; Part II: Advanced Theory and Bundle Methods, Grundlehren der mathematischen Wissenschaften
, vol.305
, pp. 306
-
-
Hiriart-Urruty, J.-B.1
Lemaréchal, C.2
-
33
-
-
0025208765
-
Proximity control in bundle methods for convex nondifferentiable minimization
-
K. C. Kiwiel: Proximity control in bundle methods for convex nondifferentiable minimization, Math. Programming, Ser. A 46 (1990) 105-122.
-
(1990)
Math. Programming, Ser. A
, vol.46
, pp. 105-122
-
-
Kiwiel, K.C.1
-
35
-
-
0022757520
-
A linearization algorithm for computing control systems subject to singular value inequalities
-
K. C. Kiwiel: A linearization algorithm for computing control systems subject to singular value inequalities, IEEE Trans. Autom. Control 31 (1986) 595-602.
-
(1986)
IEEE Trans. Autom. Control
, vol.31
, pp. 595-602
-
-
Kiwiel, K.C.1
-
36
-
-
73349141570
-
-
eIB, COnstrained Matrix-optimization Problem Library - a collection of test examples for nonlinear semidefinite programs, control system design and related problems, Tech. Report, Universität Trier, Trier (2003).
-
eIB, COnstrained Matrix-optimization Problem Library - a collection of test examples for nonlinear semidefinite programs, control system design and related problems, Tech. Report, Universität Trier, Trier (2003).
-
-
-
-
37
-
-
0016597848
-
-
C. Lemaréchal: An extension of Davidson method to nondifferentiable problems, in: Non-differ. Optim., Math. Program. Study 3, M. L. Balinski, P. Wolfe (eds.), North Holland, Amsterdam (1975) 95-109.
-
C. Lemaréchal: An extension of Davidson method to nondifferentiable problems, in: Non-differ. Optim., Math. Program. Study 3, M. L. Balinski, P. Wolfe (eds.), North Holland, Amsterdam (1975) 95-109.
-
-
-
-
38
-
-
73349138137
-
-
C. Lemaréchal: Bundle methods in nonsmooth optimization, in: Nonsmooth Optimization, Proc. IIASA Workshop 1977, C. Lemaréchal, R. Mifflin (eds.), IIASA Proc. Ser. 3, Pergamon Press, Oxford (1978) 79-102.
-
C. Lemaréchal: Bundle methods in nonsmooth optimization, in: Nonsmooth Optimization, Proc. IIASA Workshop 1977, C. Lemaréchal, R. Mifflin (eds.), IIASA Proc. Ser. 3, Pergamon Press, Oxford (1978) 79-102.
-
-
-
-
39
-
-
77957820648
-
Nondifferentiable optimization
-
G. L. Nemhauser et al, ed, North-Holland, Amsterdam
-
C. Lemaréchal: Nondifferentiable optimization, in: Handbooks in Operations Research and Management Sciences 1, G. L. Nemhauser et al. (ed.), North-Holland, Amsterdam (1989) 529-572.
-
(1989)
Handbooks in Operations Research and Management Sciences
, vol.1
, pp. 529-572
-
-
Lemaréchal, C.1
-
40
-
-
0000335293
-
New variants of bundle methods
-
C. Lemaréchal, A. Nemirovskii, Y. Nesterov: New variants of bundle methods, Math. Program., Ser. B 69 (1995) 111-147.
-
(1995)
Math. Program., Ser. B
, vol.69
, pp. 111-147
-
-
Lemaréchal, C.1
Nemirovskii, A.2
Nesterov, Y.3
-
41
-
-
61349106526
-
Algorithms for the design of control systems subject to singular value inequalities
-
D. Mayne, E. Polak: Algorithms for the design of control systems subject to singular value inequalities, Math. Program. Study 18 (1982) 112-134.
-
(1982)
Math. Program. Study
, vol.18
, pp. 112-134
-
-
Mayne, D.1
Polak, E.2
-
42
-
-
0020103103
-
Computer aided design via optimization
-
D. Mayne, E. Polak, A. Sangiovanni: Computer aided design via optimization, Automatica 18(2) (1982) 147-154.
-
(1982)
Automatica
, vol.18
, Issue.2
, pp. 147-154
-
-
Mayne, D.1
Polak, E.2
Sangiovanni, A.3
-
43
-
-
27244452234
-
Spectral bundle method for nonconvex maximum eigenvalue functions: First-order methods
-
D. Noll, P. Apkarian: Spectral bundle method for nonconvex maximum eigenvalue functions: first-order methods, Math. Program., Ser. B 104 (2005) 701-727.
-
(2005)
Math. Program., Ser. B
, vol.104
, pp. 701-727
-
-
Noll, D.1
Apkarian, P.2
-
44
-
-
0033332957
-
On the numerical solution of LMIs derived from the KYP lemma
-
Phoenix, Arizona
-
P. A. Parrilo: On the numerical solution of LMIs derived from the KYP lemma. in: Proc. IEEE Conf. Decision and Control 3 (Phoenix, Arizona, 1999) 2334-2338.
-
(1999)
Proc. IEEE Conf. Decision and Control
, vol.3
, pp. 2334-2338
-
-
Parrilo, P.A.1
-
45
-
-
0023314734
-
On the mathematical foundations of nondifferentiable optimization in engineering design
-
E. Polak: On the mathematical foundations of nondifferentiable optimization in engineering design, SIAM Rev. 29 (1987) 21-89.
-
(1987)
SIAM Rev
, vol.29
, pp. 21-89
-
-
Polak, E.1
-
47
-
-
31344454154
-
Nonlinear spectral SDP method for BMI-constrained problems: Applications to control design
-
Braz et al, ed, Springer, Berlin
-
J.-B. Thevenet, D. Noll, P. Apkarian: Nonlinear spectral SDP method for BMI-constrained problems: applications to control design, in: Informatics in Control, Automation and Robotics I (Setubal, 2004), J. Braz et al. (ed.), Springer, Berlin (2006) 61-72.
-
(2006)
Informatics in Control, Automation and Robotics I (Setubal, 2004), J
, pp. 61-72
-
-
Thevenet, J.-B.1
Noll, D.2
Apkarian, P.3
-
48
-
-
0016621235
-
-
P. Wolfe: A method of conjugate subgradients for minimizing nondifferentiable functions, in: Nondiffer. Optim., Math. Program. Study, M. L. Balinski, P. Wolfe (eds.), North Holland, Amsterdam (1975) 145-173.
-
P. Wolfe: A method of conjugate subgradients for minimizing nondifferentiable functions, in: Nondiffer. Optim., Math. Program. Study, M. L. Balinski, P. Wolfe (eds.), North Holland, Amsterdam (1975) 145-173.
-
-
-
|