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 273 articles )

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  1. Giesl, Peter; Hafstein, Sigurdur; Mehrabinezhad, Iman: Computation and verification of contraction metrics for exponentially stable equilibria (2021)
  2. Liu, Kairong; Li, Meilun; She, Zhikun: Stability verification for a class of stochastic hybrid systems by semidefinite programming (2021)
  3. Nejati, Ameneh; Soudjani, Sadegh; Zamani, Majid: Compositional abstraction-based synthesis for continuous-time stochastic hybrid systems (2021)
  4. Alessandri, Angelo; Bagnerini, Patrizia; Cianci, Roberto; Revetria, Roberto: Modeling and estimation of thermal flows based on transport and balance equations (2020)
  5. Ammar, Imen Iben; Gassara, Hamdi; El Hajjaji, Ahmed; Tadeo, Fernando; Chaabane, Mohamed: Observer-based controller for positive polynomial systems with time delay (2020)
  6. Behrends, Sönke; Schöbel, Anita: Generating valid linear inequalities for nonlinear programs via sums of squares (2020)
  7. Briat, C.: Stability and (L_1 \times\ell_1)-to-(L_1 \times\ell_1) performance analysis of uncertain impulsive linear positive systems with applications to the interval observation of impulsive and switched systems with constant delays (2020)
  8. Briat, Corentin: A biology-inspired approach to the positive integral control of positive systems: the antithetic, exponential, and logistic integral controllers (2020)
  9. Dai, Siyuan; Koutsoukos, Xenofon: Safety analysis of integrated adaptive cruise and Lane keeping control using multi-modal port-Hamiltonian systems (2020)
  10. Giesl, Peter; Osborne, Conor; Hafstein, Sigurdur: Automatic determination of connected sublevel sets of CPA Lyapunov functions (2020)
  11. Goyal, Manish; Duggirala, Parasara Sridhar: Extracting counterexamples induced by safety violation in linear hybrid systems (2020)
  12. Hooshmandi, Kaveh; Bayat, Farhad; Jahed-Motlagh, Mohammad Reza; Jalali, Ali Akbar: Polynomial LPV approach to robust (H_\infty) control of nonlinear sampled-data systems (2020)
  13. 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)
  14. Kohan-sedgh, Peyman; Khayatian, Alireza; Behmanesh-Fard, Navid: Simultaneous stabilization of polynomial nonlinear systems via density functions (2020)
  15. Koru, Ahmet Taha; Delibaşı, Akın; Özbay, Hitay: Dwell time-based stabilisation of switched linear delay systems using clock-dependent Lyapunov-Krasovskii functionals (2020)
  16. Permenter, Frank; Parrilo, Pablo A.: Dimension reduction for semidefinite programs via Jordan algebras (2020)
  17. Yang, Zhengfeng; Wu, Min; Lin, Wang: An efficient framework for barrier certificate generation of uncertain nonlinear hybrid systems (2020)
  18. Zheng, Shiqi; Liang, Bingyun; Liu, Feng; Yang, Zichao; Xie, Yuanlong: Robust stability of fractional order system with polynomial uncertainties based on sum-of-squares approach (2020)
  19. Zheng, Yang; Fantuzzi, Giovanni; Papachristodoulou, Antonis; Goulart, Paul; Wynn, Andrew: Chordal decomposition in operator-splitting methods for sparse semidefinite programs (2020)
  20. Ahmadi, Mohamadreza; Valmorbida, Giorgio; Gayme, Dennice; Papachristodoulou, Antonis: A framework for input-output analysis of wall-bounded shear flows (2019)

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