Some classical number sequences in control system design

DOI10.17377/SEMI.2017.14.053zbMath1369.93221MaRDI QIDQ2403647

A. V. Chekhonadskikh

Publication date: 11 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Fibonacci numbersrelative stabilityHurwitz functionroot polynomialcritical root diagramEuler partitionsLTI control systemssystem pole

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Uses Software

• OEIS

Cites Work

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• Stability-optimal one-dimensional control systems. I
• Stability-optimal one-dimensional control systems. II
• Extremal pole placement in control systems with a low order controller
• Hard problems in linear control theory: possible approaches to their solution
• Stability-optimal control systems for plants with ``unstable numerator in the transfer function
• Stability regions in the parameter space: \(D\)-decomposition revisited
• Linear Control System Analysis and Design

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