Proportional local assignability of Lyapunov spectrum of linear discrete time-varying systems
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 …
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
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 …
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 …
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
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 …
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
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 …
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 …
(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
Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided
Discrete Time-Varying Linear Systems Page 1 IEEE TRANSACTIONS ON AUTOMATIC …
Discrete Time-Varying Linear Systems Page 1 IEEE TRANSACTIONS ON AUTOMATIC …
On stabilization of discrete time-varying systems
The presented paper considers problems of asymptotic, exponential, and uniform
exponential stabilizability of discrete time-varying systems. Relations between different types …
exponential stabilizability of discrete time-varying systems. Relations between different types …
Assignability of dichotomy spectrum for discrete time-varying linear control systems
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 …
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 …
article. We study the question of the controllability interval length of periodic systems. It is …