Constrained stabilization of discretetime systems

A Zheng, R Balakrishnan… - International Journal of …, 1995 - Wiley Online Library
… , we show that a discretetime controllable linear system is … Predictive Control algorithm is
stabilizing for a sufficiently large … that with this scheme a discrete-time linear system with IZ …

A new discrete-time robust stability condition

MC De Oliveira, J Bernussou, JC Geromel - Systems & control letters, 1999 - Elsevier
… In the discrete-time domain we can mention some works on … discrete-time systems with
polytopic convex uncertainty domain. It is shown how to expand the discrete Lyapunov condition

Finite-time stabilization and optimal feedback control for nonlinear discrete-time systems

WM Haddad, J Lee - IEEE Transactions on Automatic Control, 2022 - ieeexplore.ieee.org
… stability have recently been developed in the literature for discrete-time dynamical systems.
… for finite-time stability and finite-time stabilization for nonlinear discrete-time controlled …

[PDF][PDF] Constrained stabilization of discrete-time systems

V Balakrishnan, A Zheng, M Morari - 1994 - core.ac.uk
… In Section 3, we show tlmt this implies tl1a.ta discretetime controllable 1inti.ar syst,eln is
gloha.lly controlla.ble to the origin if and only if ad1 its eigenvalues lie in the closed unit clisli. …

Stabilization of discrete-time systems by first-order controllers

RN Tantaris, LH Keel… - IEEE Transactions on …, 2003 - ieeexplore.ieee.org
… first-order controllers that stabilize a given discrete-time LTI system is described in this note.
The determination of the complete set requires fixing x3, obtaining the stabilizing set in the …

Stabilization of some stochastic discretetime control systems

T Morozan - Stochastic Analysis and Applications, 1983 - Taylor & Francis
… In the last part of the pawer, some necessary conditions for the stabilizability of a class of
linear discrete-time control … Consider the following stochastic linear discrete time system …

Stabilization analysis for discrete-time systems with time delay

Z Liu, S Lü, S Zhong, M Ye - Applied Mathematics and Computation, 2010 - Elsevier
… the exponential stabilization problem for a class of discrete-time system with time-varying …
functional, some sufficient conditions ensuring exponential stabilization are established. In …

Finite-time stability analysis and stabilization for linear discrete-time system with time-varying delay

Z Zhang, Z Zhang, H Zhang, B Zheng… - Journal of the Franklin …, 2014 - Elsevier
… -time stability for linear discrete-time systems with time-varying delay is studied in this
paper. In order to deal with the time … of the time-varying delay, sufficient conditions of finite-time

Robust stability and stabilization of discrete-time non-linear systems: the LMI approach

DM Stipanovic, DD Siljak - International Journal of Control, 2001 - Taylor & Francis
… We have shown how the LMI methods can be used to quadratically stabilize linear
discrete-time systems under non-linear time-varying perturbations. The resulting feedback laws …

Robust stabilization of polytopic discrete-time systems with time-varying state delay: A convex approach

MF Miranda, VJS Leite - Journal of the Franklin Institute, 2011 - Elsevier
… Convex conditions, expressed as linear matrix … discrete-time systems with time-varying
delay are presented in this paper. Delay-dependent and delay-independent convex conditions