-
3
-
-
33947541107
-
-
manual. Available at
-
K. Fukuda (2003). CDD/CDD+ reference manual. Available at www.ifor.math.ethz.ch/staff/fukuda.
-
(2003)
CDD/CDD+ reference
-
-
Fukuda, K.1
-
4
-
-
2942659750
-
Symmetry groups, semidefinite programs, and sums of squares
-
To appear in
-
K. Gaterman and P. A. Parrilo (2004). Symmetry groups, semidefinite programs, and sums of squares. To appear in Journal of Pure and Appl. Algebra.
-
(2004)
Journal of Pure and Appl. Algebra
-
-
Gaterman, K.1
Parrilo, P.A.2
-
8
-
-
2542587541
-
GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi
-
Available at
-
D. Henrion and J. B. Lasserre (2003). GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. ACM Transactions on Mathematical Software, 29(2):165-194. Available at www.laas.fr/~henrion/software/gloptipoly
-
(2003)
ACM Transactions on Mathematical Software
, vol.29
, Issue.2
, pp. 165-194
-
-
Henrion, D.1
Lasserre, J.B.2
-
10
-
-
0004178386
-
-
Prentice Hall, Inc, second edition
-
H. K. Khalil (1996). Nonlinear Systems. Prentice Hall, Inc., second edition.
-
(1996)
Nonlinear Systems
-
-
Khalil, H.K.1
-
11
-
-
0035238864
-
Global optimization with polynomials and the problem of moments
-
J. B. Lasserre (2001). Global optimization with polynomials and the problem of moments. SIAM Journal on Optimization, 11(3):796-817.
-
(2001)
SIAM Journal on Optimization
, vol.11
, Issue.3
, pp. 796-817
-
-
Lasserre, J.B.1
-
12
-
-
0023452095
-
Some NP-complete problems in quadratic and nonlinear programming
-
K. G. Murty and S. N. Kabadi (1987). Some NP-complete problems in quadratic and nonlinear programming. Mathematical Programming, 39:117-129.
-
(1987)
Mathematical Programming
, vol.39
, pp. 117-129
-
-
Murty, K.G.1
Kabadi, S.N.2
-
13
-
-
0001776805
-
Squared functional systems and optimization problems
-
J. Frenk, C. Roos, T. Terlaky, and S. Zhang Editors, Kluwer Academic Publishers
-
Y. Nesterov (2000). Squared functional systems and optimization problems. In J. Frenk, C. Roos, T. Terlaky, and S. Zhang (Editors). High Performance Optimization, 405-440, Kluwer Academic Publishers.
-
(2000)
High Performance Optimization
, pp. 405-440
-
-
Nesterov, Y.1
-
14
-
-
8744315412
-
Analysis of nonlinear time delay systems using the sum of squares decomposition
-
A. Papachristodoulou (2004). Analysis of nonlinear time delay systems using the sum of squares decomposition. Proc. American Control Conference.
-
(2004)
Proc. American Control Conference
-
-
Papachristodoulou, A.1
-
16
-
-
0032665002
-
A delay-dependent stability criterion for systems with uncertain time-invariant delays
-
P. G. Park (1999). A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Transactions on Automatic Control, 44(2):876-877.
-
(1999)
IEEE Transactions on Automatic Control
, vol.44
, Issue.2
, pp. 876-877
-
-
Park, P.G.1
-
17
-
-
33947503913
-
-
Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis, California Institute of Technology, Pasadena, CA
-
P. A. Parrilo (2000). Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis, California Institute of Technology, Pasadena, CA.
-
(2000)
-
-
Parrilo, P.A.1
-
18
-
-
1542266056
-
Semidefinite programming relaxations for semialgebraic problems
-
P. A. Parrilo (2003). Semidefinite programming relaxations for semialgebraic problems. Mathematical Programming Series B, 96(2):293-320.
-
(2003)
Mathematical Programming Series B
, vol.96
, Issue.2
, pp. 293-320
-
-
Parrilo, P.A.1
-
19
-
-
1842765498
-
An inequality for circle packings proved by Semidefinite programming
-
P. A. Parrilo and R. Peretz (2004). An inequality for circle packings proved by Semidefinite programming. Discrete and Computational Geometry, 31(3):357-367.
-
(2004)
Discrete and Computational Geometry
, vol.31
, Issue.3
, pp. 357-367
-
-
Parrilo, P.A.1
Peretz, R.2
-
22
-
-
35048844766
-
Safety verification of hybrid systems using barrier certificates
-
Springer-Verlag
-
S. Prajna and A. Jadbabaie (2004). Safety verification of hybrid systems using barrier certificates. In Hybrid Systems: Computation and Control, 477-492, Springer-Verlag.
-
(2004)
Hybrid Systems: Computation and Control
, pp. 477-492
-
-
Prajna, S.1
Jadbabaie, A.2
-
25
-
-
33947512924
-
-
S. Prajna, A. Papachristodoulou, P. Seiler, and P. A. Parrilo (2004). SOSTOOLS - Sum of Squares Optimization Toolbox, User's Guide, Version 2.00. Available at www.cds.caltech.edu/sostools and control.ee.ethz.ch/~parrilo/ sostools.
-
S. Prajna, A. Papachristodoulou, P. Seiler, and P. A. Parrilo (2004). SOSTOOLS - Sum of Squares Optimization Toolbox, User's Guide, Version 2.00. Available at www.cds.caltech.edu/sostools and control.ee.ethz.ch/~parrilo/ sostools.
-
-
-
-
29
-
-
0034916151
-
A dual to Lyapunov's stability theorem
-
A. Rantzer (2001). A dual to Lyapunov's stability theorem. Systems & Control Letters, 42(3):161-168.
-
(2001)
Systems & Control Letters
, vol.42
, Issue.3
, pp. 161-168
-
-
Rantzer, A.1
-
30
-
-
84972566433
-
Extremal PSD forms with few terms
-
B. Reznick (1978). Extremal PSD forms with few terms. Duke Mathematical Journal, 45(2):363-374.
-
(1978)
Duke Mathematical Journal
, vol.45
, Issue.2
, pp. 363-374
-
-
Reznick, B.1
-
31
-
-
0001157581
-
Some concrete aspects of Hilbert's 17th problem
-
American Mathematical Society
-
B. Reznick (2000). Some concrete aspects of Hilbert's 17th problem. In Contemporary Mathematics, 253:251-272, American Mathematical Society.
-
(2000)
Contemporary Mathematics
, vol.253
, pp. 251-272
-
-
Reznick, B.1
-
32
-
-
0001250675
-
The k-moment problem for compact semialgebraic sets
-
K. Schmüdgen (1991). The k-moment problem for compact semialgebraic sets. Mathematische Annalen, 289:203-206.
-
(1991)
Mathematische Annalen
, vol.289
, pp. 203-206
-
-
Schmüdgen, K.1
-
33
-
-
0142215889
-
Stability region estimates for SDRE controlled systems using sum of squares optimization
-
P. Seiler (2003). Stability region estimates for SDRE controlled systems using sum of squares optimization. Proc. American Control Conference.
-
(2003)
Proc. American Control Conference
-
-
Seiler, P.1
-
34
-
-
0000604097
-
Class of global minimum bounds of polynomial functions
-
N. Z. Shor (1987). Class of global minimum bounds of polynomial functions. Cybernetics, 23(6):731-734.
-
(1987)
Cybernetics
, vol.23
, Issue.6
, pp. 731-734
-
-
Shor, N.Z.1
-
35
-
-
0033296299
-
Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
-
Available at
-
J. F. Sturm (1999). Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, 11-12:625-653. Available at fewcal.kub.nl/sturm/software/sedumi.html.
-
(1999)
Optimization Methods and Software
, vol.11-12
, pp. 625-653
-
-
Sturm, J.F.1
-
36
-
-
0032264839
-
Polynomial equations and convex polytopes
-
B. Sturmfels (1998). Polynomial equations and convex polytopes. American Mathematical Monthly, 105(10):907-922.
-
(1998)
American Mathematical Monthly
, vol.105
, Issue.10
, pp. 907-922
-
-
Sturmfels, B.1
-
37
-
-
33847229571
-
-
MATLAB software package for semidefinite-quadratic-linear programming. Available at
-
K. C. Toh, R. H. Tütüncü, and M. J. Todd (1999). SDPT3 - a MATLAB software package for semidefinite-quadratic-linear programming. Available at www.math.nus.edu.sg/~mattohkc/sdpt3.html.
-
(1999)
SDPT3 - a
-
-
Toh, K.C.1
Tütüncü, R.H.2
Todd, M.J.3
-
38
-
-
0030106462
-
Semidefinite programming
-
L. Vandenberghe and S. Boyd (1996). Semidefinite programming. SIAM Review, 38(1):49-95.
-
(1996)
SIAM Review
, vol.38
, Issue.1
, pp. 49-95
-
-
Vandenberghe, L.1
Boyd, S.2
-
39
-
-
8744275109
-
A new solution approach to polynomial LPV system analysis and synthesis
-
F. Wu and S. Prajna (2004). A new solution approach to polynomial LPV system analysis and synthesis. Proc. American Control Conference.
-
(2004)
Proc. American Control Conference
-
-
Wu, F.1
Prajna, S.2
-
40
-
-
0002182462
-
-
Vestnik Leningrad University, English translation
-
V. A. Yakubovich (1977). S-procedure in nonlinear control theory. Vestnik Leningrad University, 4(1):73-93. English translation.
-
(1977)
S-procedure in nonlinear control theory
, vol.4
, Issue.1
, pp. 73-93
-
-
Yakubovich, V.A.1
|