Necessary and Sufficient Conditions for Assignability of the Lyapunov Spectrum of Discrete Linear Time-Varying Systems

DOI10.1109/TAC.2018.2823086zbMath1423.93133OpenAlexW2795608339MaRDI QIDQ4559526

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

Publication date: 4 December 2018

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2018.2823086

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Pole and zero placement problems (93B55) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Stability theory for difference equations (39A30)

Related Items (14)

Some conditions for the proportional local assignability of the Lyapunov spectrum of discrete linear time-varying systems ⋮ Proportional Local Assignability of the Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems ⋮ Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems ⋮ Spectrum assignment and stabilization by static output feedback of linear difference equations with state variable delays ⋮ Assignment of the upper Bohl exponent for linear periodic control systems in Hilbert spaces ⋮ Necessary and sufficient conditions for proportional local controllability of Lyapunov exponents in linear discrete-time systems ⋮ A formula for the lower Bohl exponent of discrete time-varying systems ⋮ On the conditions of proportional local assignability of the Lyapunov spectrum of a linear discrete-time system ⋮ Proportional Local Assignability of Lyapunov Spectrum of Linear Discrete Time-Varying Systems ⋮ Assignability of Lyapunov Spectrum for Discrete Linear Time-Varying Systems ⋮ On Stabilization of Discrete Time-Varying Systems ⋮ Sufficient conditions for uniform global asymptotic stabilization of affine discrete-time systems with periodic coefficients ⋮ Assignability of dichotomy spectra for discrete time-varying linear control systems ⋮ A formula for the Bohl exponent of discrete time-varying systems

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