@article{KALDMAE2018317,
    Abstract = {The paper addresses the problem of transforming a single-input single-output nonlinear retarded time-delay system, described by an input--output equation, in the traditional observable state space form. The solution is generalized from the delay-free case and depends on integrability of certain submodule of differential 1-forms. The integrability conditions are improved to make them constructive. Finally, it is explained why one may obtain two realizations, which are not connected by bi-causal change of state coordinates.},
    Author = {Kaldm{\"a}e, Arvo and Kotta, {\"U}lle},
    File = {Realization of time-delay systems - 10.1016@j.automatica.2018.01.001 - a - u.pdf},
    ISSN = {0005-1098},
    Journal = {Automatica},
    Keywords = {Realization theory, Time-delay systems, Nonlinear control systems, Algebraic approaches, Integrability},
    Pages = {317 - 320},
    Title = {Realization of time-delay systems},
    URL = {http://www.sciencedirect.com/science/article/pii/S0005109818300013},
    Volume = {90},
    Year = {2018},
    bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0005109818300013},
    bdsk-url-2 = {https://doi.org/10.1016/j.automatica.2018.01.001},
    date-added = {2020-10-25 18:24:38 +0100},
    date-modified = {2020-10-25 18:24:38 +0100},
    doi = {10.1016/j.automatica.2018.01.001}
}

@article{KALDMAE2018317, Abstract = {The paper addresses the problem of transforming a single-input single-output nonlinear retarded time-delay system, described by an input--output equation, in the traditional observable state space form. The solution is generalized from the delay-free case and depends on integrability of certain submodule of differential 1-forms. The integrability conditions are improved to make them constructive. Finally, it is explained why one may obtain two realizations, which are not connected by bi-causal change of state coordinates.}, Author = {Kaldm{\"a}e, Arvo and Kotta, {\"U}lle}, File = {Realization of time-delay systems - 10.1016@j.automatica.2018.01.001 - a - u.pdf}, ISSN = {0005-1098}, Journal = {Automatica}, Keywords = {Realization theory, Time-delay systems, Nonlinear control systems, Algebraic approaches, Integrability}, Pages = {317 - 320}, Title = {Realization of time-delay systems}, URL = {http://www.sciencedirect.com/science/article/pii/S0005109818300013}, Volume = {90}, Year = {2018}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0005109818300013}, bdsk-url-2 = {https://doi.org/10.1016/j.automatica.2018.01.001}, date-added = {2020-10-25 18:24:38 +0100}, date-modified = {2020-10-25 18:24:38 +0100}, doi = {10.1016/j.automatica.2018.01.001} }