Stability analysis of discrete-time Lur'e systems

CAC Gonzaga, M Jungers, J Daafouz - Automatica, 2012 - Elsevier
… about the derivative or discrete variation of the nonlinearity are … We also show that there is
a link between global stability LMI … in the local stability analysis problem of discrete-time Lur’e …

Stability analysis in continuous and discrete time

NC Besseling - 2012 - research.utwente.nl
… In Example 1.1 we examine a stable continuous-time system which is mapped by the …
of stable continuous-time systems in Section 2.1. In Section 2.2 we study stability of discrete-time

Stability analysis for discrete-time switched time-delay systems

WA Zhang, L Yu - Automatica, 2009 - Elsevier
… , we study the stability analysis problem for a class of discrete-time switched time-delay …
by the average dwell time is identified to guarantee the exponential stability of the considered …

A new discrete-time robust stability condition

MC De Oliveira, J Bernussou, JC Geromel - Systems & control letters, 1999 - Elsevier
… tests, we can first quote frequency domain oriented ones, such as μ analysis [5]. Being
fairly general, these approaches address real parametric as well as dynamic complex …

Input-to-state stability for discrete-time nonlinear systems

ZP Jiang, Y Wang - Automatica, 2001 - Elsevier
… Considering the significant role played by iss in the continuous case and the fact that many
technical results need to be carefully examined for the discrete time case, we consider it …

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 timetime-varying delay, sufficient conditions of finite-time stability

On asymptotic stability of discrete-time linear time-varying systems

B Zhou, T Zhao - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
… To show the converse, we consider the scalar sequences ϕ (k) and μ (k) defined as … This
paper investigated the asymptotic stability of discrete-time timevarying (DLTV) systems. Some …

Stability analysis for discrete-time switched systems with unstable subsystems by a mode-dependent average dwell time approach

H Zhang, D Xie, H Zhang, G Wang - Isa Transactions, 2014 - Elsevier
stability results of a discrete-time switched system with unstable subsystems. By adopting
multiple Lyapunov functions׳ (MLFs׳) method, new and less conservative stability … dwell time (…

Robust stability and control of uncertain linear discrete-time periodic systems with time-delay

CE De Souza, D Coutinho - Automatica, 2014 - Elsevier
… robust stability analysis and robust control of linear discrete-time … A robust stability criterion
independent of the time-delay … of a constant time-delay and the latter allows for a time-varying …

On stability analysis methods for large-scale discrete-time systems

RH Gielen, M Lazar - Automatica, 2015 - Elsevier
… of steps as above, that the K L -stability property holds with β ( s , k ) ≔ c μ k s , where c ≔
( c 2 c 1 ) 1 λ ρ 1 − M λ M c ̄ ≥ 1 and 0 ≤ μ ≔ ρ 1 λ M < 1 . Hence, system (1) is GES. ■ …