Moje zainteresowania naukowe obejmują szeroko pojętą matematykę obliczeniową, ze szczególnym uwzględnieniem numerycznej algebry liniowej. W pracy naukowej koncentruję się na problemach stabilności oraz tzw. odpornej stabilności (ang. robust stability) wielomianów, pseudowielomianów i macierzy:
- Michał GÓRA, Justyna Widuch, Simple tests for complex polynomials with perturbed coefficients to have all zeros in a given angular sector with applications to the robust stability of
fractional systems, w recenzji
- Michał GÓRA, Results on the Schur stability of the Hadamard powers and the Hadamard product of complex polynomials, Linear and Multilinear Algebra, Vol. 70(6), s. 1047-1054 (2022).
- Stanisław Białas, Michał GÓRA, Simple necessary conditions for Hadamard factorizability of Hurwitz polynomials, Electronic Journal of Linear Algebra, Vol. 37, s. 671-679 (2021).
- Stanisław Białas, Michał GÓRA, The generalized Hadamard product of polynomials and its stability, Linear and Multilinear Algebra, Vol. 69(70), s. 1338-1351 (2021).
- Stanisław Białas, Michał GÓRA, On the existence of Hurwitz polynomials with no Hadamard factorization, Electronic Journal of Linear Algebra, Vol. 36, s. 210-213 (2020).
- Michał GÓRA, Some methods of construction of a common Lyapunov solution to a finite set of complex systems, Linear Algebra and its Applications, Vol. 530, s. 77-93 (2017).
- Stanisław Białas, Michał GÓRA, On the existence of a common solution to the Lyapunov equations, Bulletin of the Polish Academy of Sciences: Technical Sciences, Vol. 63(1), s. 163-168 (2015).
- Michał GÓRA, Dominik Mielczarek, Comments on ''Necessary and sufficient stability condition of fractionalorder interval linear systems'' [Automatica 44 (2008), 2985-2988], Automatica, Vol. 50(10), s. 2734-2735 (2014).
- Stanislaw Białas, Michał GÓRA, A few results concerning the Hurwitz stability of polytopes of complex polynomials, Linear Algebra and its Applications, Vol. 436(5), s. 1177-1188 (2012).
- Michał GÓRA, A comment on the "Robust stability analysis of fractional order interval polynomias", by Nusret Tan et al., ISA Transactions, Vol. 50(1), s. 11 (2011).
- Stanislaw Białas, Michał GÓRA, Some properties of zeros of polynomials with vanishing coefficients, Linear Algebra and its Applications, Vol. 430(8-9), s. 1976-1991 (2009).
- Michał GÓRA, Stability of the convex combination of polynomials, Control and Cybernetics, Vol. 36(2), s. 425-442 (2007).
- Michał GÓRA, Convex compact family of polynomials and its stability, Opuscula Mathematica, Vol. 25(2), s. 189-194 (2005).
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