Moyalan, Joseph; Choi, Hyungjin; Chen, Yongxin; Vaidya, Umesh Data-driven optimal control via linear transfer operators: a convex approach. (English) Zbl 1519.93105 Automatica 150, Article ID 110841, 12 p. (2023). MSC: 93C10 93B28 90C25 PDFBibTeX XMLCite \textit{J. Moyalan} et al., Automatica 150, Article ID 110841, 12 p. (2023; Zbl 1519.93105) Full Text: DOI arXiv
de Almeida, M.; Souza, M.; Fioravanti, A. R.; Costa, O. L. V. \(\mathscr{H}_2\) state-feedback control for continuous semi-Markov jump linear systems with rational transition rates. (English) Zbl 1514.93034 Int. J. Control 96, No. 1, 1-11 (2023). MSC: 93B52 93E03 93C05 90C25 PDFBibTeX XMLCite \textit{M. de Almeida} et al., Int. J. Control 96, No. 1, 1--11 (2023; Zbl 1514.93034) Full Text: DOI
Ahmadi, Amir Ali; Khadir, Bachir El Learning dynamical systems with side information. (English) Zbl 1516.90042 SIAM Rev. 65, No. 1, 183-223 (2023). MSC: 90C22 90C25 65P99 93C15 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{B. E. Khadir}, SIAM Rev. 65, No. 1, 183--223 (2023; Zbl 1516.90042) Full Text: DOI arXiv
Papp, Dávid Duality of sum of nonnegative circuit polynomials and optimal SONC bounds. (English) Zbl 1491.90116 J. Symb. Comput. 114, 246-266 (2023). MSC: 90C23 14Q30 49M29 90C22 90C26 90C30 14P05 90C25 12D15 PDFBibTeX XMLCite \textit{D. Papp}, J. Symb. Comput. 114, 246--266 (2023; Zbl 1491.90116) Full Text: DOI arXiv
Wang, Qiuye; Chen, Mingshuai; Xue, Bai; Zhan, Naijun; Katoen, Joost-Pieter Encoding inductive invariants as barrier certificates: synthesis via difference-of-convex programming. (English) Zbl 07629155 Inf. Comput. 289, Part A, Article ID 104965, 29 p. (2022). MSC: 68Qxx PDFBibTeX XMLCite \textit{Q. Wang} et al., Inf. Comput. 289, Part A, Article ID 104965, 29 p. (2022; Zbl 07629155) Full Text: DOI arXiv
Gahlawat, Aditya; Valmorbida, Giorgio Analysis of linear partial differential equations using convex optimization. (English) Zbl 1504.93320 Valmorbida, Giorgio (ed.) et al., Accounting for constraints in delay systems. Based on the workshop, Gif-sur-Yvette, France; November 22–24, 2017. Cham: Springer. Adv. Delays Dyn. 12, 231-255 (2022). MSC: 93D23 93C20 93C25 90C25 PDFBibTeX XMLCite \textit{A. Gahlawat} and \textit{G. Valmorbida}, Adv. Delays Dyn. 12, 231--255 (2022; Zbl 1504.93320) Full Text: DOI
Davis, Maria M.; Papp, Dávid Dual certificates and efficient rational sum-of-squares decompositions for polynomial optimization over compact sets. (English) Zbl 1504.90091 SIAM J. Optim. 32, No. 4, 2461-2492 (2022). MSC: 90C23 14Q30 90C51 49M29 90C25 PDFBibTeX XMLCite \textit{M. M. Davis} and \textit{D. Papp}, SIAM J. Optim. 32, No. 4, 2461--2492 (2022; Zbl 1504.90091) Full Text: DOI arXiv
Su, Lanlan Robust monotonic convergent iterative learning control design: an LMI-based method. (English) Zbl 1527.93127 Int. J. Robust Nonlinear Control 31, No. 13, 6438-6453 (2021). MSC: 93B47 93B35 93C41 93C05 93C80 PDFBibTeX XMLCite \textit{L. Su}, Int. J. Robust Nonlinear Control 31, No. 13, 6438--6453 (2021; Zbl 1527.93127) Full Text: DOI arXiv OA License
Ahmadi, Amir Ali; El Khadir, Bachir Time-varying semidefinite programs. (English) Zbl 1477.90054 Math. Oper. Res. 46, No. 3, 1054-1080 (2021). MSC: 90C22 90C23 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{B. El Khadir}, Math. Oper. Res. 46, No. 3, 1054--1080 (2021; Zbl 1477.90054) Full Text: DOI arXiv
Zheng, Yang; Fantuzzi, Giovanni; Papachristodoulou, Antonis; Goulart, Paul; Wynn, Andrew Chordal decomposition in operator-splitting methods for sparse semidefinite programs. (English) Zbl 1434.90126 Math. Program. 180, No. 1-2 (A), 489-532 (2020). MSC: 90C22 90C25 49M27 49M29 PDFBibTeX XMLCite \textit{Y. Zheng} et al., Math. Program. 180, No. 1--2 (A), 489--532 (2020; Zbl 1434.90126) Full Text: DOI arXiv
Papp, Dávid; Yildiz, Sercan Sum-of-squares optimization without semidefinite programming. (English) Zbl 1412.90114 SIAM J. Optim. 29, No. 1, 822-851 (2019). MSC: 90C25 90C51 65D05 90C22 PDFBibTeX XMLCite \textit{D. Papp} and \textit{S. Yildiz}, SIAM J. Optim. 29, No. 1, 822--851 (2019; Zbl 1412.90114) Full Text: DOI arXiv
Dressler, Mareike; Iliman, Sadik; de Wolff, Timo An approach to constrained polynomial optimization via nonnegative circuit polynomials and geometric programming. (English) Zbl 1411.12003 J. Symb. Comput. 91, 149-172 (2019). Reviewer: Alexander Kovačec (Coimbra) MSC: 12D15 90C22 14P05 52B20 PDFBibTeX XMLCite \textit{M. Dressler} et al., J. Symb. Comput. 91, 149--172 (2019; Zbl 1411.12003) Full Text: DOI arXiv
Permenter, Frank; Parrilo, Pablo Partial facial reduction: simplified, equivalent SDPs via approximations of the PSD cone. (English) Zbl 1405.90098 Math. Program. 171, No. 1-2 (A), 1-54 (2018). MSC: 90C22 90C59 90C25 PDFBibTeX XMLCite \textit{F. Permenter} and \textit{P. Parrilo}, Math. Program. 171, No. 1--2 (A), 1--54 (2018; Zbl 1405.90098) Full Text: DOI arXiv
Lee, Jon; Skipper, Daphne; Speakman, Emily Algorithmic and modeling insights via volumetric comparison of polyhedral relaxations. (English) Zbl 1394.52011 Math. Program. 170, No. 1 (B), 121-140 (2018). MSC: 52B11 52B12 90C10 90C11 90C26 90C27 90C57 52A38 PDFBibTeX XMLCite \textit{J. Lee} et al., Math. Program. 170, No. 1 (B), 121--140 (2018; Zbl 1394.52011) Full Text: DOI
Lee, Jae Hyoung; Lee, Gue Myung On minimizing difference of a SOS-convex polynomial and a support function over a SOS-concave matrix polynomial constraint. (English) Zbl 1390.90518 Math. Program. 169, No. 1 (B), 177-198 (2018). MSC: 90C30 90C22 26A51 PDFBibTeX XMLCite \textit{J. H. Lee} and \textit{G. M. Lee}, Math. Program. 169, No. 1 (B), 177--198 (2018; Zbl 1390.90518) Full Text: DOI
Hetel, Laurentiu; Fiter, Christophe; Omran, Hassan; Seuret, Alexandre; Fridman, Emilia; Richard, Jean-Pierre; Niculescu, Silviu Iulian Recent developments on the stability of systems with aperiodic sampling: an overview. (English) Zbl 1352.93073 Automatica 76, 309-335 (2017). MSC: 93C57 93E15 93D05 93C80 PDFBibTeX XMLCite \textit{L. Hetel} et al., Automatica 76, 309--335 (2017; Zbl 1352.93073) Full Text: DOI HAL
Iliman, Sadik; de Wolff, Timo Amoebas, nonnegative polynomials and sums of squares supported on circuits. (English) Zbl 1415.11071 Res. Math. Sci. 3, Paper No. 9, 35 p. (2016). MSC: 11E25 12D15 14M25 14P10 14T05 26C10 52B20 PDFBibTeX XMLCite \textit{S. Iliman} and \textit{T. de Wolff}, Res. Math. Sci. 3, Paper No. 9, 35 p. (2016; Zbl 1415.11071) Full Text: DOI arXiv
Le, Thanh Hieu; Van Barel, Marc A convex optimization model for finding non-negative polynomials. (English) Zbl 1382.90076 J. Comput. Appl. Math. 301, 121-134 (2016). MSC: 90C25 90C22 93C80 93E11 94C30 PDFBibTeX XMLCite \textit{T. H. Le} and \textit{M. Van Barel}, J. Comput. Appl. Math. 301, 121--134 (2016; Zbl 1382.90076) Full Text: DOI
Kamyar, Reza; Peet, Matthew M. Polynomial optimization with applications to stability analysis and control – alternatives to sum of squares. (English) Zbl 1332.93291 Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2383-2417 (2015). MSC: 93D05 93D09 90C22 PDFBibTeX XMLCite \textit{R. Kamyar} and \textit{M. M. Peet}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2383--2417 (2015; Zbl 1332.93291) Full Text: DOI arXiv
Anderson, James; Papachristodoulou, Antonis Advances in computational Lyapunov analysis using sum-of-squares programming. (English) Zbl 1334.37105 Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2361-2381 (2015). MSC: 37N40 90C25 93D05 PDFBibTeX XMLCite \textit{J. Anderson} and \textit{A. Papachristodoulou}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2361--2381 (2015; Zbl 1334.37105) Full Text: DOI
Dai, Liyun; Xia, Bican Smaller SDP for SOS decomposition. (English) Zbl 1353.90103 J. Glob. Optim. 63, No. 2, 343-361 (2015). MSC: 90C22 PDFBibTeX XMLCite \textit{L. Dai} and \textit{B. Xia}, J. Glob. Optim. 63, No. 2, 343--361 (2015; Zbl 1353.90103) Full Text: DOI arXiv
Lasserre, Jean Bernard An introduction to polynomial and semi-algebraic optimization. (English) Zbl 1320.90003 Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 978-1-107-63069-7/pbk; 978-1-107-06057-9/hbk; 978-1-107-44722-6/ebook). xiv, 339 p. (2015). Reviewer: Jerzy Ombach (Kraków) MSC: 90-02 90C26 65K10 PDFBibTeX XMLCite \textit{J. B. Lasserre}, An introduction to polynomial and semi-algebraic optimization. Cambridge: Cambridge University Press (2015; Zbl 1320.90003) Full Text: DOI
Lee, Dong Hwan; Joo, Young Hoon; Tak, Myung Hwan Local stability analysis of continuous-time Takagi-Sugeno fuzzy systems: a fuzzy Lyapunov function approach. (English) Zbl 1321.93055 Inf. Sci. 257, 163-175 (2014). MSC: 93D20 34A07 PDFBibTeX XMLCite \textit{D. H. Lee} et al., Inf. Sci. 257, 163--175 (2014; Zbl 1321.93055) Full Text: DOI
Yu, Jiafeng; Yan, Zhibin; Wang, Jian; Li, Qinsheng Robust stabilization of ship course via convex optimization. (English) Zbl 1300.93149 Asian J. Control 16, No. 3, 871-877 (2014). MSC: 93D21 90C25 93B35 93C10 PDFBibTeX XMLCite \textit{J. Yu} et al., Asian J. Control 16, No. 3, 871--877 (2014; Zbl 1300.93149) Full Text: DOI
Şicleru, Bogdan C.; Dumitrescu, Bogdan POS3POLY – a MATLAB preprocessor for optimization with positive polynomials. (English) Zbl 1294.65070 Optim. Eng. 14, No. 2, 251-273 (2013). MSC: 65K10 26C99 PDFBibTeX XMLCite \textit{B. C. Şicleru} and \textit{B. Dumitrescu}, Optim. Eng. 14, No. 2, 251--273 (2013; Zbl 1294.65070) Full Text: DOI
Ahmadi, Amir Ali; Parrilo, Pablo A. A complete characterization of the gap between convexity and sos-convexity. (English) Zbl 1295.52009 SIAM J. Optim. 23, No. 2, 811-833 (2013). Reviewer: Gabriela Cristescu (Arad) MSC: 52A41 14Q99 90C22 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{P. A. Parrilo}, SIAM J. Optim. 23, No. 2, 811--833 (2013; Zbl 1295.52009) Full Text: DOI arXiv
Lam, H. K.; Lauber, Jimmy Stability analysis of nonlinear-function fuzzy-model-based control systems. (English) Zbl 1255.93078 J. Franklin Inst. 349, No. 10, 3102-3120 (2012). MSC: 93C42 93D09 90C25 PDFBibTeX XMLCite \textit{H. K. Lam} and \textit{J. Lauber}, J. Franklin Inst. 349, No. 10, 3102--3120 (2012; Zbl 1255.93078) Full Text: DOI
Ahmadi, Amir Ali; Parrilo, Pablo A. A convex polynomial that is not sos-convex. (English) Zbl 1254.90159 Math. Program. 135, No. 1-2 (A), 275-292 (2012). MSC: 90C25 52A41 90C22 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{P. A. Parrilo}, Math. Program. 135, No. 1--2 (A), 275--292 (2012; Zbl 1254.90159) Full Text: DOI arXiv
Chandraker, Manmohan; Agarwal, Sameer; Kriegman, David; Belongie, Serge Globally optimal algorithms for stratified autocalibration. (English) Zbl 1477.68339 Int. J. Comput. Vis. 90, No. 2, 236-254 (2010). MSC: 68T45 68U05 90C26 PDFBibTeX XMLCite \textit{M. Chandraker} et al., Int. J. Comput. Vis. 90, No. 2, 236--254 (2010; Zbl 1477.68339) Full Text: DOI
Lavaei, Javad; Aghdam, Amir G. Performance improvement of robust controllers for polynomially uncertain systems. (English) Zbl 1214.49032 Automatica 46, No. 1, 110-115 (2010). MSC: 49N10 93C55 93C05 93B35 90C25 93D21 PDFBibTeX XMLCite \textit{J. Lavaei} and \textit{A. G. Aghdam}, Automatica 46, No. 1, 110--115 (2010; Zbl 1214.49032) Full Text: DOI Link
Helton, J. William; Nie, Jiawang Semidefinite representation of convex sets. (English) Zbl 1192.90143 Math. Program. 122, No. 1 (A), 21-64 (2010). Reviewer: Do Van Luu (Hanoi) MSC: 90C25 90C22 52A20 46N10 PDFBibTeX XMLCite \textit{J. W. Helton} and \textit{J. Nie}, Math. Program. 122, No. 1 (A), 21--64 (2010; Zbl 1192.90143) Full Text: DOI arXiv
Lasserre, Jean Bernard Moments, positive polynomials and their applications. (English) Zbl 1211.90007 Imperial College Press Optimization Series 1. London: Imperial College Press (ISBN 978-1-84816-445-1/hbk; 978-1-84816-446-8/ebook). xxi, 361 p. (2010). Reviewer: Raymond Hemmecke (Garching) MSC: 90-02 90C22 90C25 78M05 14P10 13P15 PDFBibTeX XMLCite \textit{J. B. Lasserre}, Moments, positive polynomials and their applications. London: Imperial College Press (2010; Zbl 1211.90007) Full Text: Link
Aylward, Erin M.; Parrilo, Pablo A.; Slotine, Jean-Jacques E. Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming. (English) Zbl 1283.93217 Automatica 44, No. 8, 2163-2170 (2008). MSC: 93D09 93C10 90C25 PDFBibTeX XMLCite \textit{E. M. Aylward} et al., Automatica 44, No. 8, 2163--2170 (2008; Zbl 1283.93217) Full Text: DOI arXiv
Meziat, René; Patiño, Diego Exact relaxations of non-convex variational problems. (English) Zbl 1143.49026 Optim. Lett. 2, No. 4, 505-519 (2008). MSC: 49M37 90C22 PDFBibTeX XMLCite \textit{R. Meziat} and \textit{D. Patiño}, Optim. Lett. 2, No. 4, 505--519 (2008; Zbl 1143.49026) Full Text: DOI
Prajna, Stephen; Rantzer, Anders Convex programs for temporal verification of nonlinear dynamical systems. (English) Zbl 1147.93023 SIAM J. Control Optim. 46, No. 3, 999-1021 (2007). MSC: 93C10 68Q60 90C90 93B03 93C15 PDFBibTeX XMLCite \textit{S. Prajna} and \textit{A. Rantzer}, SIAM J. Control Optim. 46, No. 3, 999--1021 (2007; Zbl 1147.93023) Full Text: DOI Link
Grant, Michael; Boyd, Stephen; Ye, Yinyu Disciplined convex programming. (English) Zbl 1130.90382 Liberti, Leo et al., Global optimization. From theory to implementation. New York, NY: Springer (ISBN 0-387-28260-2/hbk). Nonconvex Optimization and Its Applications 84, 155-210 (2006). MSC: 90C25 PDFBibTeX XMLCite \textit{M. Grant} et al., Nonconvex Optim. Appl. 84, 155--210 (2006; Zbl 1130.90382)
Cousot, Patrick Proving program invariance and termination by parametric abstraction, Lagrangian relaxation and semidefinite programming. (English) Zbl 1111.68503 Cousot, Radhia (ed.), Verfication, model checking, and abstract interpretation. 6th international conference, VMCAI 2005, Paris, France, January 17–19, 2005. Proceedings. Berlin: Springer (ISBN 3-540-24297-X/pbk). Lecture Notes in Computer Science 3385, 1-24 (2005). MSC: 68Q60 68N30 90C22 PDFBibTeX XMLCite \textit{P. Cousot}, Lect. Notes Comput. Sci. 3385, 1--24 (2005; Zbl 1111.68503) Full Text: DOI
Jarvis-Wloszek, Zachary; Feeley, Ryan; Tan, Weehong; Sun, Kunpeng; Packard, Andrew Control applications of sum of squares programming. (English) Zbl 1119.93031 Henrion, Didier (ed.) et al., Positive polynomials in control. Berlin: Springer (ISBN 3-540-23948-0/pbk). Lecture Notes in Control and Information Sciences 312, 3-22 (2005). Reviewer: Werner H. Schmidt (Greifswald) MSC: 93B40 90C22 PDFBibTeX XMLCite \textit{Z. Jarvis-Wloszek} et al., Lect. Notes Control Inf. Sci. 312, 3--22 (2005; Zbl 1119.93031) Full Text: DOI
Sturmfels, Bernd Solving systems of polynomial equations. (English) Zbl 1101.13040 CBMS Regional Conference Series in Mathematics 97. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3251-4/pbk). viii, 152 p. (2002). Reviewer: Martin Kreuzer (Dortmund) MSC: 13P10 14Q99 65H10 12D10 14P10 52B20 35E20 PDFBibTeX XMLCite \textit{B. Sturmfels}, Solving systems of polynomial equations. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1101.13040)