SMRSOFT: a MATLAB toolbox for optimization over polynomials and dynamical systems study via SOS programming. SMRSOFT is a Matlab toolbox for solving basic optimization problems over polynomials and studying dynamical systems via SOS programming. The main functions currently available in SMRSOFT are based on the techniques described in the book G. Chesi. Domain of Attraction: Analysis and Control via SOS Programming. Springer, 2011

References in zbMATH (referenced in 30 articles )

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  1. Chesi, Graziano; Shen, Tiantian: Designing parametric linear quadratic regulators for parametric LTI systems via LMIs (2019)
  2. Goldsztejn, Alexandre; Chabert, Gilles: Estimating the robust domain of attraction for non-smooth systems using an interval Lyapunov equation (2019)
  3. Iannelli, Andrea; Marcos, Andrés; Lowenberg, Mark: Robust estimations of the region of attraction using invariant sets (2019)
  4. Magron, Victor; Garoche, Pierre-Loic; Henrion, Didier; Thirioux, Xavier: Semidefinite approximations of reachable sets for discrete-time polynomial systems (2019)
  5. Polcz, Péter; Péni, Tamás; Szederkényi, Gábor: Computational method for estimating the domain of attraction of discrete-time uncertain rational systems (2019)
  6. Riah, Rachid; Fiacchini, Mirko; Alamir, Mazen: Iterative method for estimating the robust domains of attraction of non-linear systems: application to cancer chemotherapy model with parametric uncertainties (2019)
  7. Sidorov, Eric; Zacksenhouse, Miriam: Lyapunov based estimation of the basin of attraction of Poincaré maps with applications to limit cycle walking (2019)
  8. Polcz, Péter; Péni, Tamás; Szederkényi, Gábor: Improved algorithm for computing the domain of attraction of rational nonlinear systems (2018)
  9. Zarei, Mojtaba; Kalhor, Ahmad; Brake, Dani: Arc length based maximal Lyapunov functions and domains of attraction estimation for polynomial nonlinear systems (2018)
  10. Chen, Xiangyong; Cao, Jinde; Park, Ju H.; Qiu, Jianlong: Stability analysis and estimation of domain of attraction for the endemic equilibrium of an SEIQ epidemic model (2017)
  11. Korda, Milan; Henrion, Didier; Jones, Colin N.: Convergence rates of moment-sum-of-squares hierarchies for optimal control problems (2017)
  12. Kundu, Soumya; Anghel, Marian: A multiple-comparison-systems method for distributed stability analysis of large-scale nonlinear systems (2017)
  13. Valmorbida, Giorgio; Anderson, James: Region of attraction estimation using invariant sets and rational Lyapunov functions (2017)
  14. González, Temoatzin; Bernal, Miguel: Progressively better estimates of the domain of attraction for nonlinear systems via piecewise Takagi-Sugeno models: stability and stabilization issues (2016)
  15. Raman, Dhruva V.; Anderson, James; Papachristodoulou, Antonis: On the performance of nonlinear dynamical systems under parameter perturbation (2016)
  16. Sala, Antonio; Pitarch, José Luis: Optimisation of transient and ultimate inescapable sets with polynomial boundaries for nonlinear systems (2016)
  17. Chesi, Graziano: Minimizing trigonometric matrix polynomials over semi-algebraic sets (2015)
  18. Luk, Chuen Kit; Chesi, Graziano: Guaranteed estimates of the domain of attraction for a class of hybrid systems (2015)
  19. Vatani, Mohsen; Hovd, Morten; Olaru, Sorin: Robustness issues in control of bilinear discrete-time systems -- applied to the control of power converters (2015)
  20. Gomes da Silva, J. M. jun.; Oliveira, M. Z.; Coutinho, D.; Tarbouriech, S.: Static anti-windup design for a class of nonlinear systems (2014)

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