Proportional Local Assignability of Lyapunov Spectrum of Linear Discrete Time-Varying Systems

DOI10.1137/17M1141734zbMath1411.93084OpenAlexW2939593329MaRDI QIDQ4630684

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

Publication date: 23 April 2019

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1141734

zbMATH Keywords

Lyapunov spectrumpole assignment problemlinear discrete time-varying systemsproportional local assignability

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Pole and zero placement problems (93B55)

Related Items (8)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability theory and Lyapunov regularity
• On the regularity of discrete linear systems
• On the global controllability of Lyapunov exponents of linear systems
• Linear systems of ordinary differential equations
• Time-varying discrete linear systems: input-output operators; Riccati equations; disturbance attenuation
• Sufficient conditions for the local proportional controllability of Lyapunov exponents of linear systems
• Simultaneous local controllability of the spectrum and the Lyapunov irregularity coefficient of regular systems
• Stabilizability of linear time-varying systems
• Lyapunov exponents for systems with unbounded coefficients
• Pole Placement Theorem for Discrete Time-Varying Linear Systems
• On the property of uniform complete controllability of a discrete-time linear control system
• Arbitrary eigenvalue assignments for linear time-varying multivariable control systems
• Eigenvalue assignment in linear periodic discrete-time systems†
• Estimation and Feedback in Linear Time-Varying Systems: A Deterministic Theory
• Necessary and Sufficient Conditions for Assignability of the Lyapunov Spectrum of Discrete Linear Time-Varying Systems
• On the spectral set of a linear discrete system with stable Lyapunov exponents
• Stabilization of Linear Systems

This page was built for publication: Proportional Local Assignability of Lyapunov Spectrum of Linear Discrete Time-Varying Systems