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Published in 2020 at "Cybernetics and Systems Analysis"
DOI: 10.1007/s10559-020-00246-5
Abstract: We obtain the necessary and sufficient conditions for the stability in the quadratic mean of strong solutions to stochastic partial differential-difference equations with pairwise independent external random perturbations of the type of random variables. read more here.
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Published in 2021 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-021-05389-0
Abstract: We present sufficient conditions for the uniform convergence of interpolation processes constructed on the basis of solutions to Cauchy problems in terms of the one-sided modulus of continuity and modulus of variation of the approximated… read more here.
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Published in 2019 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-020-00545-1
Abstract: The paper studies ‘good arrangements’ (transversality properties) of collections of sets in a normed vector space near a given point in their intersection. We target primal (metric and slope) characterizations of transversality properties in the… read more here.
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Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1212
Abstract: Abstract In this paper we give sufficient conditions on a semi-linear differential equation ensuring the pre-compactness of its solution. The result is illustrated by two examples of vibrating strings in a network with a static… read more here.
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Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1764
Abstract: Abstract Newton’s method is a classical iterative algorithm for the numerical computation of isolated roots of algebraic equations and stationary points of functions. While its application is ubiquitous in a plethora of fields, questions concerning… read more here.
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Published in 2021 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2021.08.536
Abstract: Abstract The analysis of convergence and stability conditions for Non-linear Model Predictive Control (NMPC) schemes has seen significant progress during the last decades. Numerous results in the literature state sufficient conditions for convergence and/or stability… read more here.
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Published in 2019 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2018.10.009
Abstract: Abstract This paper investigates the exponential stability and h -stability problems of some classes of nonlinear systems. First, we analyze the global uniform exponential stability for a class of integro-differential equations on time scales. We… read more here.
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Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/abe17d
Abstract: The main goal of this paper is to obtain sufficient conditions that allow us to rigorously derive local versions of the 4/5 and 4/3 laws of hydrodynamic turbulence, by which we mean versions of these… read more here.
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Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2910663
Abstract: In this paper, we are concerned with the stability analysis of stochastic systems switched by the ergodic semi-Markovian process. The sufficient conditions for almost sure exponential stability are derived by using the method of multiple… read more here.
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Published in 2022 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2022.3213140
Abstract: We study the problem of completing the virtual array of a nested array with a single snapshot. This involves synthesizing a virtual uniform linear array (ULA) with the same aperture as the nested array by… read more here.
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Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2909815
Abstract: Mixed monotone systems form an important class of nonlinear systems that have recently received attention in the abstraction-based control design area. Slightly different definitions exist in the literature, and it remains a challenge to verify… read more here.