We are pleased to introduce SOSTOOLS, a free MATLAB toolbox for formulating and solving sums of squares (SOS) optimization programs. SOSTOOLS can be used to specify and solve sum of squares polynomial problems using a very simple, flexible, and intuitive high-level notation. Currently, the SOS programs are solved using SeDuMi or SDPT3, both well-known semidefinite programming solver, with SOSTOOLS handling internally all the necessary reformulations and data conversion.

References in zbMATH (referenced in 266 articles )

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  1. Alessandri, Angelo; Bagnerini, Patrizia; Cianci, Roberto; Revetria, Roberto: Modeling and estimation of thermal flows based on transport and balance equations (2020)
  2. Behrends, Sönke; Schöbel, Anita: Generating valid linear inequalities for nonlinear programs via sums of squares (2020)
  3. Briat, Corentin: A biology-inspired approach to the positive integral control of positive systems: the antithetic, exponential, and logistic integral controllers (2020)
  4. Dai, Siyuan; Koutsoukos, Xenofon: Safety analysis of integrated adaptive cruise and Lane keeping control using multi-modal port-Hamiltonian systems (2020)
  5. Giesl, Peter; Osborne, Conor; Hafstein, Sigurdur: Automatic determination of connected sublevel sets of CPA Lyapunov functions (2020)
  6. Goyal, Manish; Duggirala, Parasara Sridhar: Extracting counterexamples induced by safety violation in linear hybrid systems (2020)
  7. Jarre, Florian; Lieder, Felix; Liu, Ya-Feng; Lu, Cheng: Set-completely-positive representations and cuts for the max-cut polytope and the unit modulus lifting (2020)
  8. Kohan-sedgh, Peyman; Khayatian, Alireza; Behmanesh-Fard, Navid: Simultaneous stabilization of polynomial nonlinear systems via density functions (2020)
  9. Koru, Ahmet Taha; Delibaşı, Akın; Özbay, Hitay: Dwell time-based stabilisation of switched linear delay systems using clock-dependent Lyapunov-Krasovskii functionals (2020)
  10. Permenter, Frank; Parrilo, Pablo A.: Dimension reduction for semidefinite programs via Jordan algebras (2020)
  11. Yang, Zhengfeng; Wu, Min; Lin, Wang: An efficient framework for barrier certificate generation of uncertain nonlinear hybrid systems (2020)
  12. Zheng, Yang; Fantuzzi, Giovanni; Papachristodoulou, Antonis; Goulart, Paul; Wynn, Andrew: Chordal decomposition in operator-splitting methods for sparse semidefinite programs (2020)
  13. Ahmadi, Mohamadreza; Valmorbida, Giorgio; Gayme, Dennice; Papachristodoulou, Antonis: A framework for input-output analysis of wall-bounded shear flows (2019)
  14. Briat, Corentin: Co-design of aperiodic sampled-data min-jumping rules for linear impulsive, switched impulsive and sampled-data systems (2019)
  15. Crespo, Luis G.; Colbert, Brendon K.; Kenny, Sean P.; Giesy, Daniel P.: On the quantification of aleatory and epistemic uncertainty using sliced-normal distributions (2019)
  16. Dressler, Mareike; Iliman, Sadik; de Wolff, Timo: An approach to constrained polynomial optimization via nonnegative circuit polynomials and geometric programming (2019)
  17. Fu, Rong; Sun, Hongfei; Zeng, Jianping: Exponential stabilisation of nonlinear parameter-varying systems with applications to conversion flight control of a tilt rotor aircraft (2019)
  18. González, Temoatzin; Sala, Antonio; Bernal, Miguel: A generalised integral polynomial Lyapunov function for nonlinear systems (2019)
  19. Han, Seung-Hun; Vu, Van-Phong; Tran, Manh-Son: Decentralized polynomial observer design for discrete-time large-scale polynomial T-S fuzzy system (2019)
  20. Ito, Naoki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Toh, Kim-Chuan: Algorithm 996: BBCPOP: a sparse doubly nonnegative relaxation of polynomial optimization problems with binary, box, and complementarity constraints (2019)

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