Research interests
The objective of my research is unsupervised data-driven analysis and design of dynamical systems. The classical paradigm splits the problem into model identification and model-based design. In general, there is no separation principle for modeling and design, so that the two-stage approach may be suboptimal. I am investigating an alternative direct data-driven paradigm that combines modeling and design into one joint problem. In 2010, I proposed a solution approach for data-driven design based on structured low-rank approximation (ERC starting grant). More recently, I investigated convex relaxation, subspace, and regularization methods. Current topics of interest are data-driven methods for nonlinear, time-varying, and distributed systems. Besides data-driven design, I am interested in methods for teaching and learning that are effective in training critical thinking and creativity. I am an advocate of the open peer review as an alternative to the traditional closed review system.
Selected publications
– Markovsky I & Dorfler F 2023, ‘Identifiability in the Behavioral Setting‘, Ieee Transactions On Automatic Control, 68, 3, 1667 – 1677.
– Markovsky I, Prieto-Araujo E & Doerfler F 2023, ‘On the persistency of excitation’, Automatica, 147, 110657.
– Dorfler F, Coulson J & Markovsky I 2023, ‘Bridging Direct and Indirect Data-Driven Control Formulations via Regularizations and Relaxations‘, Ieee Transactions On Automatic Control, 68, 2, 883 – 897.
– Markovsky I 2023, ‘Data-Driven Simulation of Generalized Bilinear Systems via Linear Time-Invariant Embedding‘, Ieee Transactions On Automatic Control, 68, 2, 1101 – 1106.