YALMIP is a free MATLAB toolbox for rapid prototyping of optimization problems. The package initially aimed at the control community and focused on semidefinite programming, but the latest release extends this scope significantly. YALMIP 3 can be used for linear programming, quadratic programming, second order cone programming, semidefinite programming, non-convex semidefinite programming, mixed integer programming, multi-parametric programming, geometric programming The main features of YALMIP are: Easy to install since it is entirely based on MATLAB code. Easy to learn : 3 new commands is all the user needs to get started. Easy to use : you define your constraints and objective functions using intuitive and standard MATLAB code. Automatic categorization of problems, and automatic solver selection Supports numerous external solvers, both free and commercial. The solvers supported by YALMIP are currently CDD, CSDP, CPLEX, DSDP, GLPK, KYPD, LINPROG, LMILAB, MAXDET, MOSEK, MPT, NAG, OOQP, PENBMI, PENSDP, QUADPROG, SDPA SDPT3 and SEDUMI.

References in zbMATH (referenced in 431 articles , 1 standard article )

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  1. Natarajan, Karthik; Teo, Chung-Piaw: On reduced semidefinite programs for second order moment bounds with applications (2017)
  2. Taylor, Adrien B.; Hendrickx, Julien M.; Glineur, François: Smooth strongly convex interpolation and exact worst-case performance of first-order methods (2017)
  3. Ali, Mazhar: Restoring genuine tripartite entanglement under local amplitude damping (2016)
  4. Amini, Amir; Azarbahram, Ali; Sojoodi, Mahdi: $H_\infty $ consensus of nonlinear multi-agent systems using dynamic output feedback controller: an LMI approach (2016)
  5. Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard: Minimizing the sum of many rational functions (2016)
  6. Chen, Haibin; Li, Guoyin; Qi, Liqun: SOS tensor decomposition: theory and applications (2016)
  7. Chen, Jun; Xu, Shengyuan; Li, Yongmin; Qi, Zhidong; Chu, Yuming: Improvement on stability conditions for continuous-time T-S fuzzy systems (2016)
  8. Chen, Yannan; Qi, Liqun; Wang, Qun: Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors (2016)
  9. Claeys, Mathieu; Daafouz, Jamal; Henrion, Didier: Modal occupation measures and LMI relaxations for nonlinear switched systems control (2016)
  10. de Klerk, Etienne: Book review of: J.-B. Lasserre, An introduction to polynomial and semi-algebraic optimization (2016)
  11. Delshad, Saleh S.; Johansson, Andreas; Darouach, Mohamed; Gustafsson, Thomas: Robust state estimation and unknown inputs reconstruction for a class of nonlinear systems: multiobjective approach (2016)
  12. Dentcheva, Darinka; Martinez, Gabriela; Wolfhagen, Eli: Augmented Lagrangian methods for solving optimization problems with stochastic-order constraints (2016)
  13. de Ruiter, Frans J.C.T.; Brekelmans, Ruud C.M.; den Hertog, Dick: The impact of the existence of multiple adjustable robust solutions (2016)
  14. Diamond, Steven; Boyd, Stephen: CVXPY: a python-embedded modeling language for convex optimization (2016)
  15. Dong, Hongbo: Relaxing nonconvex quadratic functions by multiple adaptive diagonal perturbations (2016)
  16. Espitia, Nicolás; Girard, Antoine; Marchand, Nicolas; Prieur, Christophe: Event-based control of linear hyperbolic systems of conservation laws (2016)
  17. Fantuzzi, G.; Goluskin, D.; Huang, D.; Chernyshenko, S.I.: Bounds for deterministic and stochastic dynamical systems using sum-of-squares optimization (2016)
  18. Fawzi, Hamza; Parrilo, Pablo A.: Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank (2016)
  19. Feng, Qian; Nguang, Sing Kiong: Stabilization of uncertain linear distributed delay systems with dissipativity constraints (2016)
  20. Gábor, Attila; Hangos, Katalin M.; Szederkényi, Gábor: Linear conjugacy in biochemical reaction networks with rational reaction rates (2016)

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