On the conditions of proportional local assignability of the Lyapunov spectrum of a linear discrete-time system

DOI10.20537/vm190301zbMath1447.93022OpenAlexW2985459379MaRDI QIDQ5114327

Irina N. Banshchikova, E. K. Makarov, Svetlana Popova

Publication date: 22 June 2020

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu683

zbMATH Keywords

controllabilitystabilizabilityLyapunov exponentslinear discrete-time system

Mathematics Subject Classification ID

Controllability (93B05) Feedback control (93B52) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05)

Related Items (1)

Necessary and sufficient conditions for proportional local controllability of Lyapunov exponents in linear discrete-time systems

Cites Work

• Time-varying discrete linear systems: input-output operators; Riccati equations; disturbance attenuation
• Pole Placement Theorem for Discrete Time-Varying Linear Systems
• Necessary and Sufficient Conditions for Assignability of the Lyapunov Spectrum of Discrete Linear Time-Varying Systems
• Proportional Local Assignability of Lyapunov Spectrum of Linear Discrete Time-Varying Systems
• On the spectral set of a linear discrete system with stable Lyapunov exponents
• An example of a linear discrete system with unstable Lyapunov exponents
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