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Джон Атанасов
JOURNAL "INFORMATION TECHNOLOGIES AND CONTROL"
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03/05/2024 PAPERS - ISSUES - ARTICLE

Year 2016 - Issue 1 - Article No 2

PERTURBATION ANALYSIS OF THE LMI-BASED CONTINUOUS-TIME LINEAR QUADRATIC REGULATOR PROBLEM FOR DESCRIPTOR SYSTEMS
A. Yonchev
Key Words Continuous-time descriptor systems; perturbation analysis; linear quadratic regulator LMI based control problem.
Abstract This paper considers an approach to perform perturbation analysis of linear quadratic regulator (LQR) control problem for continuous-time descriptor systems. The investigated control problem is based on solving LMIs (Linear Matrix Inequalities) and applying Lyapunov functions. The paper is concerned with obtaining linear perturbation bounds for the continuous-time LQR control problem for descriptor systems. The computed perturbation bounds can be used to study the effect of perturbations in system and controller on feasibility and performance of the considered control problem. A numerical example is also presented in the paper
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