Assignability of Lyapunov Spectrum for Discrete Linear Time-Varying Systems

DOI10.1007/978-3-030-35502-9_5zbMath1446.93009OpenAlexW3006107777MaRDI QIDQ3296865

Adam Czornik, Irina N. Banshchikova, Michał Niezabitowski, Artur Babiarz, E. K. Makarov, Svetlana Popova

Publication date: 2 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35502-9_5

zbMATH Keywords

controllabilityLyapunov spectrumdiscrete linear time-varying systempole placement problem

Mathematics Subject Classification ID

Controllability (93B05) Feedback control (93B52) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Attainable sets, reachability (93B03)

Related Items (2)

Spectrum assignment and stabilization by static output feedback of linear difference equations with state variable delays ⋮ Sufficient conditions for uniform global asymptotic stabilization of affine discrete-time systems with periodic coefficients

Cites Work

• Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control
• 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 fundamental theorem of linear state variable feedback
• On the spectral set of a linear discrete system with stable Lyapunov exponents
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