On the stability and null-controllability of an infinite system of linear differential equations

DOI10.1007/s10883-021-09587-6arXiv2111.13045OpenAlexW3216459377WikidataQ115383636 ScholiaQ115383636MaRDI QIDQ6078364

Khudoyor Mamayusupov, Gafurjan I. Ibragimov, Marks Ruziboev, Abdulla A. Azamov

Publication date: 24 October 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.13045

zbMATH Keywords

differential equations in Banach spacesGramian operators eigenvaluesstability controllable system

Mathematics Subject Classification ID

Controllability (93B05) Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On pursuit problems in controlled distributed systems
• Time optimal control of evolution equations
• Optimal linear-quadratic control of asymptotically stabilizable systems using approximations
• Controllability of 2D Euler and Navier-Stokes equations by degenerate forcing
• A pursuit problem in an infinite system of second-order differential equations
• Decomposition and suboptimal control in dynamical systems
• Bounded controls in distributed-parameter systems
• Evasion differential game of infinitely many evaders from infinitely many pursuers in Hilbert space
• Small-time global stabilization of the viscous Burgers equation with three scalar controls
• Controllability of the one-dimensional fractional heat equation under positivity constraints
• Local exact controllability to the trajectories of the Korteweg-de Vries-Burgers equation on a bounded domain with mixed boundary conditions
• The time-optimal problem for evolutionary partial differential equations
• On game problems for second-order evolution equations
• On a time-optimal control problem associated with the heat exchange process
• Numerical Approximation of Exact Controls for Waves
• On the Chernous'ko Time-Optimal Problem for the Equation of Heat Conductivity in a Rod
• On the Fattorini criterion for approximate controllability and stabilizability of parabolic systems

This page was built for publication: On the stability and null-controllability of an infinite system of linear differential equations