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Journal Papers
J.-B. Bouvier, M. Ornik. Designing resilient linear driftless systems. Submitted.
Extended version available as arXiv:2006.13820 [eess.SY], 2020. [PDF]
H. Chen, M. Ornik, K. Ho. Game-theoretic approach to incentivize commercial participation in space infrastructure development and deployment. Submitted.
Z. Dai, K. Xu, M. Ornik. Repulsion-based p-dispersion with distance constraints in non-convex polygons. Submitted.
Associated software tool (RApDoP: Repulsively Approaching p-Dispersion on Polygons) available on GitHub.
M. Ornik, U. Topcu. Learning and planning for time-varying MDPs using maximum likelihood estimation. Submitted.
Modified version available as arXiv:1911.12976 [cs.LG], 2019. [PDF]
M. O. Karabag, M. Ornik, U. Topcu. Deception in supervisory control. Submitted.
Modified version available as arXiv:1902.00590 [math.OC], 2019. [PDF]
Y. Savas, M. Ornik, M. Cubuktepe, M. O. Karabag, U. Topcu. Entropy maximization for Markov decision processes under temporal logic constraints. IEEE Transactions on Automatic Control, 2020.
Vol. 65, no. 4, pp. 1552-1567.
DOI: 10.1109/TAC.2019.2922583
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M. Ornik, S. Carr, A. Israel, U. Topcu. Control-oriented learning on the fly. IEEE Transactions on Automatic Control, 2019.
DOI: 10.1109/TAC.2019.2963293
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Modified version available as arXiv:1709.04889 [math.OC], 2017. [PDF]
M. Ornik, M. E. Broucke. Chattering in the reach control problem. Automatica, 2018.
M. E. Broucke, M. Ornik, A. Mansouri. A topological obstruction in a control problem. Systems & Control Letters, 2017.
M. Ornik, M. E. Broucke. Characterization of a topological obstruction to reach control by continuous state feedback. Mathematics of Control, Signals, and Systems, 2017.
M. Moarref, M. Ornik, M. E. Broucke. An obstruction to solvability of the reach control problem using affine feedback. Automatica, 2016.
M. Ornik. Modeling the role of mutations and density independent dispersal in evolutionary rescue. Journal of Biological Systems, 2014.
Vol. 22, no. 1, pp. 123–132.
DOI: 10.1142/S0218339014500077
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Peer-Reviewed Conference Papers
F. Nawaz, M. Ornik. Explorative probabilistic planning with unknown target locations. Accepted to 59th IEEE Conference on Decision and Control, 2020.
M. Ornik. Guaranteed reachability for systems with unknown dynamics. Accepted to 59th IEEE Conference on Decision and Control, 2020.
Modified version available as arXiv:1910.00803 [math.OC], 2019. [PDF]
M. Ornik. Measuring target predictability for optimal environment design. Accepted to 59th IEEE Conference on Decision and Control, 2020.
P. Thangeda, M. Ornik. PROTRIP: Probabilistic risk-aware optimal transit planner. Accepted to 23rd IEEE International Conference on Intelligent Transportation Systems, 2020.
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Software implementation available on GitHub.
F. Blahoudek, T. Brázdil, P. Novotný, M. Ornik, P. Thangeda, U. Topcu. Qualitative controller synthesis for consumption Markov decision processes. 32nd International Conference on Computer-Aided Verification, 2020.
Part II, pp. 421–447.
DOI: 10.1007/978-3-030-53291-8_22
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Associated software tool (FiMDP: Fuel in Markov Decision Processes) available on GitHub.
J.-B. Bouvier, M. Ornik. Resilient reachability for linear systems. 21st IFAC World Congress, 2020.
P. Thangeda, M. Ornik. Safety-guaranteed, accelerated learning in MDPs with local side information. 2020 American Control Conference, 2020.
Y. Savas, V. Gupta, M. Ornik, L. J. Ratliff, U. Topcu. Incentive design for temporal logic objectives. 58th IEEE Conference on Decision and Control, 2019.
Pp. 2251–2258.
DOI: 10.1109/CDC40024.2019.9029287
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Extended version available as arXiv:1903.07752 [math.OC], 2019. [PDF]
M. O. Karabag, M. Ornik, U. Topcu. Optimal deceptive and reference policies for supervisory control. 58th IEEE Conference on Decision and Control, 2019.
Pp. 1323–1330.
DOI: 10.1109/CDC40024.2019.9029607
[PDF]
Extended version available as arXiv:1902.00590 [math.OC], 2019. [PDF]
Z. Xu, M. Ornik, A. A. Julius, U. Topcu. Information-guided temporal logic inference with prior knowledge. 2019 American Control Conference, 2019.
M. O. Karabag, M. Ornik, U. Topcu. Least inferable policies for Markov decision processes. 2019 American Control Conference, 2019.
Pp. 1224–1231.
DOI: 10.23919/ACC.2019.8815129
[PDF]
Extended version available as arXiv:1809.06482 [math.OC], 2018. [PDF]
M. Ornik, S. Carr, A. Israel, U. Topcu. Myopic control of systems with unknown dynamics. 2019 American Control Conference, 2019.
M. Ornik, J. Fu, N. T. Lauffer, W. K. Perera, M. Alshiekh, M. Ono, U. Topcu. Expedited learning in MDPs with side information. 57th IEEE Conference on Decision and Control, 2018.
M. Ornik, M. S. Moura, A. Peplowski, M. E. Broucke. Adaptive cruise control design using reach control. 21st IEEE International Conference on Intelligent Transportation Systems, 2018.
Y. Savas, M. Ornik, M. Cubuktepe, U. Topcu. Entropy maximization for constrained Markov decision processes. 56th Annual Allerton Conference on Communication, Control, and Computing, 2018.
M. Ornik, U. Topcu. Deception in optimal control. 56th Annual Allerton Conference on Communication, Control, and Computing, 2018.
Pp. 821–828.
DOI: 10.1109/ALLERTON.2018.8635871
[PDF]
Extended version available as arXiv:1805.03090 [math.OC], 2018. [pdf]
M. Bucić, M. Ornik, U. Topcu. Graph-based controller synthesis for safety-constrained, resilient systems. 56th Annual Allerton Conference on Communication, Control, and Computing, 2018.
P. Mercader, M. Ornik, P.-O. Gutman, I. Ioslovich. Optimal signal timing for multi-phase intersections. 15th IFAC Symposium on Control in Transportation Systems, 2018.
M. Ornik, M. E. Broucke. A graph-theoretic approach to the reach control problem. 56th IEEE Conference on Decision and Control, 2017.
M. Ornik, M. E. Broucke. A nerve-theoretic result on the problem of a topological obstruction in reach control. 56th IEEE Conference on Decision and Control, 2017.
M. Ornik, M. Moarref, M. E. Broucke. An automated parallel parking strategy using reach control theory. 20th IFAC World Congress, 2017.
M. Ornik, A. C. Sniderman, M. E. Broucke, G. M. T. D'Eleuterio. Pattern identification in distributed systems. 55th IEEE Conference on Decision and Control, 2016.
M. Ornik, M. E. Broucke. Characterizing equilibria in reach control under affine feedback. 10th IFAC Symposium on Nonlinear Control Systems, 2016.
M. Ornik, M. E. Broucke. A topological obstruction to reach control by continuous state feedback. 54th IEEE Conference on Decision and Control, 2015.
M. Ornik, M. E. Broucke. On a topological obstruction in the reach control problem. 2015 AMMCS-CAIMS Congress, 2015.
Other Conference Papers
H. El-Kebir, M. Ornik. In-flight air density estimation and prediction for hypersonic flight vehicles. 23rd AIAA International Space Planes and Hypersonic Systems and Technologies Conference, 2020.
H. Chen, M. Ornik, K. Ho. Incentive design for commercial participation in space logistics infrastructure development and deployment. 70th International Astronautical Congress, 2019.
H. Chen received the Luigi G. Napolitano Award of the International Astronautical Federation for his contributions in this paper.
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D. Ge, M. Ornik, U. Topcu. Robust myopic control for systems with imperfect observations. 2018 AAS/AIAA Astrodynamics Specialist Conference, 2018.
Pp. 3057-3072.
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Also presented in a modified version at the 15th Annual Conference of Committee of Deep Space Exploration Technology, Chinese Society of Astronautics, 2018. Chinese title: 基于状态观测的鲁棒短视控制策略. [PDF]
Theses and Other Supervised Research Papers
M. Ornik. New Mathematical Tools in Reach Control Theory. 2017.
Ph.D. thesis, University of Toronto
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M. Ornik. Some Observations on Orbits of Driftless Bilinear Systems. 2013.
M.Sc. project report/thesis, Queen’s University
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M. Ornik, A. Šušnjara. Neki prilozi teoriji egzaktne rekonstrukcije poligona. 2012.
English title: Some Contributions to the Theory of Exact Polygon Reconstruction
Supervised by Z. Drmač.
University of Zagreb Rector’s Award winning research paper
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M. Berljafa, S. Muhvić, M. Ornik. Računanje Gaussovih integracijskih formula za sažimajuću bazu. 2011.
English title: Computation of Gaussian Quadrature Formulae for Compression Basis
Supervised by S. Singer.
University of Zagreb Rector’s Award nominated research paper
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Supplementary Material
M. Ornik, M. Moarref, M. E. Broucke. Numerical values used for simulations in "An automated parallel parking strategy using reach control theory". 2017.
M. Ornik, M. E. Broucke. Some results on an affine obstruction to reach control. 2015.
Available as arXiv:1507.02957 [math.OC], 2015. [PDF]