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 21 articles )

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  1. Polcz, Péter; Péni, Tamás; Szederkényi, Gábor: Improved algorithm for computing the domain of attraction of rational nonlinear systems (2018)
  2. 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)
  3. Korda, Milan; Henrion, Didier; Jones, Colin N.: Convergence rates of moment-sum-of-squares hierarchies for optimal control problems (2017)
  4. Kundu, Soumya; Anghel, Marian: A multiple-comparison-systems method for distributed stability analysis of large-scale nonlinear systems (2017)
  5. Valmorbida, Giorgio; Anderson, James: Region of attraction estimation using invariant sets and rational Lyapunov functions (2017)
  6. 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)
  7. Raman, Dhruva V.; Anderson, James; Papachristodoulou, Antonis: On the performance of nonlinear dynamical systems under parameter perturbation (2016)
  8. Sala, Antonio; Pitarch, José Luis: Optimisation of transient and ultimate inescapable sets with polynomial boundaries for nonlinear systems (2016)
  9. Chesi, Graziano: Minimizing trigonometric matrix polynomials over semi-algebraic sets (2015)
  10. Luk, Chuen Kit; Chesi, Graziano: Guaranteed estimates of the domain of attraction for a class of hybrid systems (2015)
  11. Vatani, Mohsen; Hovd, Morten; Olaru, Sorin: Robustness issues in control of bilinear discrete-time systems -- applied to the control of power converters (2015)
  12. Gomes da Silva, J.M.jun.; Oliveira, M.Z.; Coutinho, D.; Tarbouriech, S.: Static anti-windup design for a class of nonlinear systems (2014)
  13. Korda, Milan; Henrion, Didier; Jones, Colin N.: Convex computation of the maximum controlled invariant set for polynomial control systems (2014)
  14. Lacerda, Márcio J.; Tarbouriech, Sophie; Garcia, Germain; Peres, Pedro L.D.: $\mathcalH_\infty$ filter design for nonlinear polynomial systems (2014)
  15. Petersen, Ian R.; Tempo, Roberto: Robust control of uncertain systems: classical results and recent developments (2014)
  16. Amato, F.; Ambrosino, R.; Cosentino, C.; De Tommasi, G.; Merola, A.: Stabilization of impulsive quadratic systems over polytopic sets (2013)
  17. Chesi, Graziano: On the estimation of the equilibrium points of uncertain nonlinear systems (2013)
  18. Chesi, Graziano: Rational Lyapunov functions for estimating and controlling the robust domain of attraction (2013)
  19. Summers, Erin; Chakraborty, Abhijit; Tan, Weehong; Topcu, Ufuk; Seiler, Peter; Balas, Gary; Packard, Andrew: Quantitative local $L_2$-gain and reachbility analysis for nonlinear systems (2013)
  20. Demenkov, Max: Estimating region of attraction for polynomial vector fields by homotopy methods (2012) ioport

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