Proportional local assignability of Lyapunov spectrum of linear discrete time-varying systems

A Babiarz, I Banshchikova, A Czornik, E Makarov… - SIAM Journal on Control …, 2019 - SIAM
We consider a local version of the pole assignment problem for linear discrete time-varying
systems. Our aim is to obtain sufficient conditions to place the Lyapunov spectrum of the …

Necessary and sufficient conditions for assignability of the Lyapunov spectrum of discrete linear time-varying systems

A Babiarz, I Banshchikova, A Czornik… - … on Automatic Control, 2018 - ieeexplore.ieee.org
We consider a version of the pole assignment problem for linear discrete time-varying
systems with linear state feedback. Our aim is to prove that all the systems from the closure …

Relative controllability of nonlinear switched fractional delayed systems

HP Luo, S Liu - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
This paper investigates the relative controllability of nonlinear switched fractional delayed
systems (SFDSs) with both state and input delays. The solution to a switching signal is first …

Attainability, Lyapunov Reducibility, and Assignability of Lyapunov Invariants of Linear Discrete-Time Systems

A Czornik, E Makarov, M Niezabitowski… - … on Automatic Control, 2024 - ieeexplore.ieee.org
We consider a linear discrete time-invariant control system with linear time-varying state
feedback. Our main goal is to determine what types of asymptotic dynamics are possible for …

Assignment of spectrum for time-varying linear control systems via kinematic equivalence

PT Anh, A Czornik, TS Doan, NTT Suong - Systems & Control Letters, 2024 - Elsevier
In this note, we consider a uniformly completely controllable linear system. For this system,
we show the existence of a linear state feedback such that the corresponding closed-loop …

Relative controllability of nonlinear switched fractional systems

HP Luo, S Liu, XW Zhao, T Huang - Asian Journal of Control, 2024 - Wiley Online Library
This article investigates relative controllability of nonlinear switched fractional systems
(SFSs). With the aid of Mittag‐Leffler functions and invariant subspace theory, two sufficient …

Necessary and sufficient conditions for assignability of dichotomy spectrum of one-sided discrete time-varying linear systems

A Babiarz, A Czornik, TS Doan - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided
Discrete Time-Varying Linear Systems Page 1 IEEE TRANSACTIONS ON AUTOMATIC …

On stabilization of discrete time-varying systems

A Babiarz, A Czornik, S Siegmund - SIAM Journal on Control and Optimization, 2021 - SIAM
The presented paper considers problems of asymptotic, exponential, and uniform
exponential stabilizability of discrete time-varying systems. Relations between different types …

Assignability of dichotomy spectrum for discrete time-varying linear control systems

LV Cuong, TS Doan - arXiv preprint arXiv:1908.04763, 2019 - arxiv.org
In this paper, we show that for discrete time-varying linear control systems uniform complete
controllability implies arbitrary assignability of dichotomy spectrum of closed-loop systems …

Continuous-time linear periodic systems: A note on the controllability interval length

V Zaitsev - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
Continuous-time linear systems with periodic coefficients of period are considered in this
article. We study the question of the controllability interval length of periodic systems. It is …