Numerical optimization for feedback stabilization of linear systems with distributed delays

DOI10.1016/j.cam.2019.112706zbMath1434.93074OpenAlexW2997889745WikidataQ126405788 ScholiaQ126405788MaRDI QIDQ2297149

Renhong Hu, Guang-Da Hu

Publication date: 18 February 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112706

zbMATH Keywords

stabilizationstability criterionlinear delay systemsdistributed delaysoptimization methodstate transition matrix

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Stabilization of systems by feedback (93D15) Applications of optimal control and differential games (49N90) Control/observation systems governed by functional-differential equations (93C23) Stability theory of functional-differential equations (34K20) Discrete approximations in optimal control (49M25) Existence theories for optimal control problems involving relations other than differential equations (49J21) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (7)

An algorithm to design a stabilizing feedback controller for linear delay systems via Parseval's theorem ⋮ Sparse feedback stabilization in high‐order linear systems ⋮ Sparse feedback stabilisation of linear delay systems by proximal gradient method ⋮ Convergence of the optimization method for feedback stabilization of linear delay systems ⋮ Stabilization of a differential-difference system of delay type ⋮ A numerical method for ℋ2$$ {\mathscr{H}}_2 $$ control of linear delay systems ⋮ Estimating the delay margin for stability of linear delay systems by the weighted matrix measure

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