A. P. Zhabko, V. V. Provotorov, E. N. Provotorova, “On stability control of a parabolic systems with distributed parameters on the graph”, Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123,Pages <nobr>368

Scientific articles

On stability control of a parabolic systems with distributed parameters on the graph

A. P. Zhabko^a, V. V. Provotorov^b, E. N. Provotorova^c

^a St. Petersburg State University
^b Voronezh State University
^c Voronezh State Technical University

Abstract: The work is an attempt to demonstrate the concept of sustainability in the undisturbed state Lyapunov differential system for equations with partial derivatives, and show the ability to use a famous classical results in the studied case.

Keywords: system of parabolic equations, distributed parameters on the graph, initial-boundary value problem, equivalent of Lyapunov stability.

UDC: 517.929.4

Received: 18.04.2018

DOI: 10.20310/1810-0198-2018-23-123-368-376