… 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 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 …

… 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 …

… 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 …

… the resulting analysis and synthesis criteria can cover the non-monotonic method considering
… improve the stability analysis and it is an equivalence of the common Lyapunov inequality, …

… 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 …

… This article considers exponential stabilization of linear … stability results using non-monotonic
Lyapunov functions for discontinuous dynamical systems, two sufficient results for stability …

… - the GDC, to establish the closed-loop stability in the discretetime domain, (2) the non-monotonic
Lyapunov function in the dissipation inequality (with non-negative incremental …

… Lyapunov function (LF) for non-linear systems is still a challenging task. A LF is a scalar
positive definite function … In [12, 20, 21], fuzzy LFs are employed to facilitate the stability analysis …

… 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 …