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README.md

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 # adaptive_cooperative_control_MAS_hyperbolic
 
-Test
+This repository implements methods for the simulation and the design of adaptive control algorithms presented in the papers [1,2] for the output regulation of multi-agent systems, in which every agent has hyperbolic distributed-parameter dynamics.
+
+# Dependencies
+
+The programms were tested and developed using Matlab R2024b.
+The following Matlab toolboxes and external libraries are used.
+
+### Matlab toolboxes
+
+Frequently, the following Matlab toobloxes are used: control_toolbox, optimization_toolbox, symbolic_toolbox.
+
+### External toolboxes (not included)
+
+* "coni" available at [https://gitlab.com/control-system-tools/coni] (see also [3])
+* "hyperbolic" available at [https://gitlab.com/control-system-tools/hyperbolic] (see also [4])
+* "chebfun" available at [https://github.com/chebfun/chebfun] (see also [5, 6])
+
+# Usage
+
+Include all folders, including the external toolboxes, to your Matlab path.
+For an introduction to the frequently employed and very useful quantity.Discrete framework provided by the coni toolbox, see the Example +quantity\example.m of in the coni folder.
+Note that the calculation of the backstepping kernel stores all computed kernels in a build-folder in the working directory. 
+Hence, it is advised to always work in the same root working folder.
+The skrpits that were used to generate the examples that appear in my papers and presentations can be found in the directory +publication_examples, other skripts are in +examples.
+
+# References
+
+[1] Enderes, T.; J. Deutscher: Cooperative robust output regulation for networks of hyperbolic systems
+with unknown signal models. accepted for Int. J. Robust Nonlin. Control (2024).
+[2] Enderes, T.; J. Gabriel; J. Deutscher: Cooperative output regulation for networks of hyperbolic
+systems using adaptive cooperative observers. Automatica 162, Art. no. 111506 (2024).
+[3] F. Fischer, J. Gabriel, S. Kerschbaum (2022). coni - a Matlab toolbox facilitating the solution of control problems (1.2). Zenodo.
+[4] Gabriel, J.: hyperbolic – A Matlab Toolbox for the Robust Cooperative Output Regulation of Hyperbolic PIDE–ODE Systems. Zenodo. Version v1.0. 2023.
+[5] L. N. Trefethen. Spectral Methods in MATLAB. Philadelphia: SIAM, 2000
+[6] T. A. Driscoll, N. Hale, and L. N. Trefethen, Chebfun Guide, Pafnuty Publications, Oxford, 2014.