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Toolbox for the analysis and the control of hybrid systems

⚠️ The code is not made open-source at the moment as the toolbox is in early alpha version. So, please use the functions as described in the "Example" scripts. Please email me if you encounter issues.

⚠️ Requires the latest version of SOSTOOLS and the semidefinite programming solver SeDuMi

If you use some of these fuctions please consider citing this github as

@misc{CBriat:gitXX,
  author = {C. Briat},
  title = {Hybrid Systems Toolbox},
  year = {20XX},
  publisher = {GitHub},
  journal = {GitHub repository},
  howpublished = {\url{https://github.com/cbriat/HybridSystemsToolbox}},
}

Toolbox for the analysis and the control of linear impulsive systems (https://github.com/cbriat/HybridSystems/tree/master/Autom2013_Impulsive)

  • Dwell-time analysis of deterministic linear impulsive systems
  • State-feedback control and observer-gain design for linear impulsive systems under dwell-time constraints
  • Include simulation and plotting scripts
  • The code corresponds to the paper "Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints", Automatica, Vol. 49(11), pp. 3349-3457, 2013 (https://doi.org/10.1016/j.automatica.2013.08.022)

Toolbox for the analysis and the control of linear stochastic impulsive systems (https://github.com/cbriat/HybridSystems/tree/master/Autom2016_StochasticImpulsive)

  • Dwell-time analysis of linear stochastic impulsive systems
  • State-feedback control and observer-gain design for linear stochastic impulsive systems under dwell-time constraints
  • Include simulation and plotting scripts
  • The code corresponds to the paper "Stability analysis and stabilization of stochastic linear impulsive, switched and sampled-data systems under dwell-time constraints", Automatica, Vol. 74, pp. 279-287, 2016 (https://doi.org/10.1016/j.automatica.2016.08.001)

Toolbox for the analysis and the control of linear switched systems (https://github.com/cbriat/HybridSystems/tree/master/SCL2014_Switched)

  • Dwell-time analysis of linear switched systems
  • State-feedback control and observer-gain design for linear switched systems under dwell-time constraints
  • Include simulation and plotting scripts
  • The code corresponds to the paper "Convex conditions for the robust stabilization of uncertain switched systems with guaranteed minimum and mode-dependent dwell-time", Systems & Control Letters, Vol. 78, pp. 63-72, 2015 (https://doi.org/10.1016/j.sysconle.2015.01.012)

For any feedback or comments, please contact me at corentin@briat.info.

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Matlab functions for the analysis and the control of hybrid systems

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