A numerical method to minimize resource consumption by linear systems with constant delay

DOI10.1134/S0005117914100026zbMath1318.49060OpenAlexW2055419026MaRDI QIDQ2261808

G. V. Shevchenko

Publication date: 13 March 2015

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117914100026

zbMATH Keywords

optimal controlnumerical methodresource consumptiontime-varying linear delay system

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control problems for functional-differential equations (34K35) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (5)

A separation property of the observer-based stabilizing controller for linear delay systems ⋮ An observer-based stabilizing controller for linear neutral delay systems ⋮ An algorithm to design a stabilizing feedback controller for linear delay systems via Parseval's theorem ⋮ Control over a resource source with minimization of its required capacity ⋮ On a class of optimal control problems for functional differential systems

Cites Work

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• Optimal control of the delay linear systems with allowance for the terminal state constraints
• Method to determine an optimal control in the minimum of resource consumption for the nonlinear stationary systems
• Computational solution of time-optimal control problem for linear systems with delay
• A finite algorithm to maximize certain pseudoconcave functions on polytopes
• Numerical method for solving a nonlinear time-optimal control problem with additive control

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