A local input-to-state stability result w.r.t. attractors of nonlinear\n reaction-diffusion equations

2019/09/16 by Sergey Dashkovskiy, Dashkovskiy, Sergey, Oleksiy V. Kapustyan +3
Computer Science · Engineering · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1909.07022

openalex publication_date 2019/09/16 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

We establish the local input-to-state stability of a large class of disturbed\nnonlinear reaction-diffusion equations w.r.t. the global attractor of the\nrespective undisturbed system.\n

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