Non-monotonic lyapunov-krasovskii functional approach to stability analysis and stabilization of discrete time-delay systems

Y Solgi, A Fatehi, A Shariati - IEEE/CAA Journal of Automatica …, 2020 - ieeexplore.ieee.org
… modifying the Lyapunov function in the stability analysis procedure. … non-monotonic Lyapunov
function is utilized to relax the monotonically decreasing condition of the Lyapunov function

Stability and stabilization for LPV systems based on Lyapunov functions with non-monotonic terms

MLC Peixoto, PSP Pessim, MJ Lacerda… - Journal of the Franklin …, 2020 - Elsevier
stability analysis, static output-feedback and state-feedback control design for discrete-time
The proposed methodology is based on the combination of quadratic “Lyapunov-like” terms …

Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System

Y Solgi, A Fatehi, A Shariati - International Journal of Automation and …, 2020 - Springer
… This paper introduces a novel stability analysis theorem for linear discrete time-delay …
is called non-monotonic LyapunovKrasovskii (NMLK). Due to the Lyapunov function becoming …

Design of optimal PID controller for multivariable time-varying delay discrete-time systems using non-monotonic Lyapunov-Krasovskii approach

Y Solgi, A Fatehi, A Nikoofard, A Shariati - Journal of the Franklin Institute, 2021 - Elsevier
… Then, the same idea called the N-step ahead Lyapunov function approach … stability
analysis and PID controller design based on NMLK method for time-varying delay discrete time

Stability and stabilisability of switched discretetime systems based on structured Lyapunov functions

MJ Lacerda, TS Gomide - IET Control Theory & Applications, 2020 - Wiley Online Library
… paper exploits the structured Lyapunov functions to provide … The conditions proposed in this
paper for stability analysis and … of a Lyapunov function that considers non-monotonic terms …

Periodic event-triggered control for networked control systems based on non-monotonic Lyapunov functions

S Linsenmayer, DV Dimarogonas, F Allgöwer - Automatica, 2019 - Elsevier
… This article considers exponential stabilization of linear … stability results using non-monotonic
Lyapunov functions for discontinuous dynamical systems, two sufficient results for stability

[图书][B] Nonsmooth Lyapunov analysis in finite and infinite dimensions

Y Orlov - 2020 - Springer
… systems with finite-time convergence, which is not accessible for Lipschitzian systems. Both
stability analysis and control design methods based on Lyapunov functions as a quadratic …

Output-feedback control for discrete-time switched systems via non-monotonic switched Lyapunov function approach

S Shan, Y Tong, M Zhai, D Xu - Journal of Control and Decision, 2024 - Taylor & Francis
discrete-time switched linear systems. By extending the methodology of switched Lyapunov
functions (SLF), a non-monotonic … We begin with the stability analysis via the NSLF approach…

Stability analysis and robust performance of periodic discrete-time uncertain systems via structured Lyapunov functions

NA Keles, CM Agulhari, MJ Lacerda - European Journal of Control, 2021 - Elsevier
stability problem. The first one is based on a Lyapunov function with the presence of non-monotonic
one relies on the use of a Lyapunov function with a generic number of higher-order …

Semi-automatic control of network systems with non-monotonic Lyapunov function

T Tran, QP Ha - International Journal of Control, 2021 - Taylor & Francis
… is newly introduced for the stabilising agent. The … non-monotonic Lyapunov function when
the QDC is used with model predictive controllers. The effectiveness of the QDC for stabilising