Volterra funktional equations in the stability problem for the existence of global solutions of distributed controlled systems

DOI10.20310/2686-9667-2020-25-132-422-440zbMath1478.39023OpenAlexW3124083298MaRDI QIDQ5012441

V. I. Sumin

Publication date: 24 November 2021

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu209

zbMATH Keywords

controlled distributed systemfunctional Volterra equationequipotential quasinilpotent family of the operatorsequivalent norm theoremstability of the existence of global solutions

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (2)

Volterra functional equations in the theory of optimization of distributed systems. On the problem of singularity of controlled initial-boundary value problems ⋮ Fixed point equations with abstract Volterra operators on spaces of functions of several variables

Cites Work

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• Nonlinear Goursat-Darboux control problem: conditions for the preservation of global solvability
• Joint spectral radius, operator semigroups, and a problem of W. Wojtyński
• Preservation of the solvability of a semilinear global electric circuit equation
• The features of gradient methods for distributed optimal-control problems

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