Introducing PENLAB, a Matlab code for nonlinear conic optimization. We will introduce a new code PENLAB, an open Matlab implementation and extension of our older PENNON. PENLAB can solve problems of nonconvex nonlinear optimization with standard (vector) variables and constraints, as well as matrix variables and constraints. We will demonstrate its functionality using several nonlinear semidefinite examples.

References in zbMATH (referenced in 20 articles )

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  1. Berger, Thomas; Lanza, Lukas: Observers for differential-algebraic systems with Lipschitz or monotone nonlinearities (2020)
  2. Birgin, Ernesto G.; Gómez, Walter; Haeser, Gabriel; Mito, Leonardo M.; Santos, Daiana O.: An augmented Lagrangian algorithm for nonlinear semidefinite programming applied to the covering problem (2020)
  3. de Klerk, Etienne; Kuhn, Daniel; Postek, Krzysztof: Distributionally robust optimization with polynomial densities: theory, models and algorithms (2020)
  4. Milz, Johannes; Ulbrich, Michael: An approximation scheme for distributionally robust nonlinear optimization (2020)
  5. Faruque, Imraan A.; Muijres, Florian T.; Macfarlane, Kenneth M.; Kehlenbeck, Andrew; Humbert, J. Sean: Identification of optimal feedback control rules from micro-quadrotor and insect flight trajectories (2018)
  6. Fukuda, Ellen H.; Lourenço, Bruno F.: Exact augmented Lagrangian functions for nonlinear semidefinite programming (2018)
  7. Lourenço, Bruno F.; Fukuda, Ellen H.; Fukushima, Masao: Optimality conditions for nonlinear semidefinite programming via squared slack variables (2018)
  8. Lourenço, Bruno F.; Fukuda, Ellen H.; Fukushima, Masao: Optimality conditions for problems over symmetric cones and a simple augmented Lagrangian method (2018)
  9. Park, Gyunghoon; Shim, Hyungbo; Joo, Youngjun: Recovering nominal tracking performance in an asymptotic sense for uncertain linear systems (2018)
  10. Veselý, Vojtech; Ilka, Adrian: Generalized robust gain-scheduled PID controller design for affine LPV systems with polytopic uncertainty (2017)
  11. Zhang, Jie; Xu, Huifu; Zhang, Liwei: Quantitative stability analysis of stochastic quasi-variational inequality problems and applications (2017)
  12. Zhu, Lei; Yu, Bo; Xu, Liyan: The distributionally robust complementarity problem (2017)
  13. Feng, Qian; Nguang, Sing Kiong: Stabilization of uncertain linear distributed delay systems with dissipativity constraints (2016)
  14. Gyurkovics, Éva: Guaranteed cost control of discrete-time uncertain systems with both state and input delays (2016)
  15. Kussaba, Hugo T. M.; Borges, Renato A.; Ishihara, João Y.: A new condition for finite time boundedness analysis (2015)
  16. Zhou, Xiaojun; Dong, Tianxue; Tang, Xiaolin; Yang, Chunhua; Gui, Weihua: A BMI approach to guaranteed cost control of discrete-time uncertain system with both state and input delays (2015)
  17. Zhou, Xiaojun; Shi, Peng; Lim, Cheng-Chew; Yang, Chunhua; Gui, Weihua: Event based guaranteed cost consensus for distributed multi-agent systems (2015)
  18. Xu, Liyan; Yu, Bo; Liu, Wei: The distributionally robust optimization reformulation for stochastic complementarity problems (2014)
  19. Jan Fiala, Michal Kocvara, Michael Stingl: PENLAB: A MATLAB solver for nonlinear semidefinite optimization (2013) arXiv
  20. Kočvara, Michal; Stingl, Michael: Pennon: A code for convex nonlinear and semidefinite programming (2003)