Publications

Knotek, Štefan, Kristian Hengster‐Movric, and Michael Šebek. "Distributed adaptive consensus protocol with decaying gains." International Journal of Robust and Nonlinear Control 30, no. 15 (2020): 6166-6188.

Martinec, Dan, Ivo Herman, and Michael Šebek. "On the necessity of symmetric positional coupling for string stability." IEEE Transactions on Control of Network Systems 5, no. 1 (2018): 45-54. Abstract

Revised version of the paper

Herman, Ivo, Dan Martinec, Zdeněk Hurák, and Michael Šebek. "Scaling in bidirectional platoons with dynamic controllers and proportional asymmetry." IEEE Transactions on Automatic Control 62, no. 4 (2017): 2034-2040. Abstract

Accepted version

Martinec, Dan, Ivo Herman, and Michael Šebek. "A travelling wave approach to a multi-agent system with a path-graph topology." System and Control Letters 99 (2017): 90-98. Abstract

Revised version of the paper

Herman, Ivo, and Michael Šebek. "Optimal distributed control with application to asymmetric vehicular platoons." In 55th IEEE Conference on Decision and Control (CDC), 4340-4345. Las Vegas, USA: IEEE, 2016.

Submitted version

Pčolka, Matej, Eva Žáčeková, Rush Robinett, Sergej Čelikovský, and Michael Šebek. "Bridging the gap between the linear and nonlinear predictive control: Adaptations for efficient building climate control." Control Engineering Practice 53 (2016): 124-138.

Herman, Ivo, Dan Martinec, J. J. P. Veerman, and Michael Šebek. "Stability of a Circular System with Multiple Asymmetric Laplacians." In 5th IFAC Workshop on Estimation and Control of Networked Systems (NecSys), 162-167. Philadelphia, PA, USA: IFAC, 2015. Abstract

Final version

Martinec, Dan, Ivo Herman, and Michael Šebek. "Travelling waves in a multi-agent system with general graph topology." In 5th IFAC Workshop on Estimation and Control of Networked Systems (NecSys), 82-87. Philadelphia, PA, USA, 2015. Abstract

Final version of the paper

Martinec, Dan, Martin Hromčík, Ivo Herman, Tomáš Vyhlídal, and Michael Šebek. "On zero-vibration signal shapers and a wave-absorbing controller for a chain of multi-agent dynamical systems." Linz, Austria, 2015. Abstract

Final version of the paper

Herman, Ivo, Dan Martinec, Zdeněk Hurák, and Michael Šebek. "Nonzero bound on Fiedler eigenvalue causes exponential growth of H-infinity norm of vehicular platoon." IEEE Transactions on Automatic Control 60, no. 8 (2015): 2248-2253 . Abstract

Finally accepted version

Hengster-Movric, Kristian, Frank L. Lewis, Michael Šebek, and Tomáš Vyhlídal. "Cooperative synchronization control for agents with control delays: A synchronizing region approach." Journal of the Franklin Institute 352, no. 5 (2015): 2002-2028. Abstract

Herman, Ivo, Dan Martinec, and Michael Šebek. Transfer functions in consensus systems with higher-order dynamics and external inputs In submitted., 2015. Abstract

Revised version

Martinec, Dan, Ivo Herman, Zdeněk Hurák, and Michael Šebek. "Refinement of a bidirectional platooning controller by wave absorption at the leader." In 2014 European Control Conference (ECC), 2845-2850 . Strasbourg, France, 2014. Abstract

Martinec, Dan, Ivo Herman, Zdeněk Hurák, and Michael Šebek. "Wave-absorbing vehicular platoon controller." European Journal of Control 20 (2014): 237-248. Abstract

Final version of the paper

Martinec, Dan, Ivo Herman, and Michael Šebek. "Two-sided wave-absorbing control of a heterogenous vehicular platoon." In 19th IFAC World Congress, 8091-8096. Cape Town, South Africa, 2014. Abstract

Herman, Ivo, Dan Martinec, Zdeněk Hurák, and Michael Šebek. "PDdE-based analysis of vehicular platoons with spatio-temporal decoupling." In 4th IFAC NecSys Workshop. Koblenz, Germany, 2013.

Martinec, Dan, Michael Šebek, and Zdeněk Hurák. "Vehicular platooning experiments with racing slot cars." In 2012 IEEE Multi-Conference on Systems and Control . Dubrovnik, Croatia: IEEE, 2012. Abstract

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Šebek, Michael, and Zdeněk Hurák. "2-D Polynomial Approach to Control of Leader Following Vehicular Platoons." In 18th World Congress of the International Federation of Automatic Control (IFAC). Milano, Italy: Elsevier, 2011. Abstract

Kujan, Petr, Martin Hromčík, and Michael Šebek. "Complete Fast Analytical Solution of the Optimal Odd Single-Phase Multilevel Problem." IEEE Transactions on Industrial Electroncis 57, no. 7 (2010): 2382-2397 .

Kujan, Petr, Martin Hromčík, and Michael Šebek. "Effective solution of a linear system with Chebyshev coefficients." Integral Transforms and Special Functions 20, no. 8 (2009): 619-628. Abstract

Hromčík, Martin, and Michael Šebek. "Numerical algorithms for polynomial plus/minus factorization." International Journal of Robust and Nonlinear Control 17, no. 8 (2007): 786-802.