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pro vyhledávání: '"DASHKOVSKIY, SERGEY"'
We prove a superposition theorem for input-to-output stability (IOS) of a broad class of nonlinear infinite-dimensional systems with outputs including both continuous-time and discrete-time systems. It contains, as a special case, the superposition t
Externí odkaz:
http://arxiv.org/abs/2410.06013
This article proposes an approach to construct a Lyapunov function for a linear coupled impulsive system consisting of two time-invariant subsystems. In contrast to various variants of small-gain stability conditions for coupled systems, the asymptot
Externí odkaz:
http://arxiv.org/abs/2308.05635
We consider a linear impulsive system in an infinite-dimensional Banach space. It is assumed that the moments of impulsive action satisfy the averaged dwell-time condition and the linear operator on the right side of the differential equation generat
Externí odkaz:
http://arxiv.org/abs/2308.05615
Autor:
Dashkovskiy, Sergey, Slynko, Vitalii
We consider nonlinear impulsive systems on Banach spaces subjected to disturbances and look for dwell-time conditions guaranteeing the the ISS property. In contrary to many existing results our conditions cover the case where both continuous and disc
Externí odkaz:
http://arxiv.org/abs/2106.11224
Autor:
Suttner, Raik, Dashkovskiy, Sergey
We analyze stability and robustness properties of an extremum seeking scheme that employs oscillatory dither signals with sufficiently large amplitudes and frequencies. Our study takes both input and output disturbances into account. We consider gene
Externí odkaz:
http://arxiv.org/abs/2009.14676
In this paper, we introduce the notion of relative $\mathcal{K}$-equi-stability (RKES) to characterize the uniformly continuous dependence of (weak) solutions on external disturbances for nonlinear parabolic PDE systems. Based on the RKES, we prove t
Externí odkaz:
http://arxiv.org/abs/2008.01932
Akademický článek
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We establish the local input-to-state stability of a large class of disturbed nonlinear reaction-diffusion equations w.r.t. the global attractor of the respective undisturbed system.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1909.07022
We establish asymptotic gain along with input-to-state practical stability results for disturbed semilinear systems w.r.t. the global attractor of the respective undisturbed system. We apply our results to a large class of nonlinear reaction-diffusio
Externí odkaz:
http://arxiv.org/abs/1909.06302
Autor:
Dashkovskiy, Sergey, Slynko, Vitalii
Publikováno v:
In Automatica January 2023 147