An improved stability theorem for nonlinear systems on time scales with application to multi-agent systems

X Lu, H Li - IEEE Transactions on Circuits and Systems II …, 2020 - ieeexplore.ieee.org
In this brief, stability analysis of nonlinear systems on time scales is further investigated. The
traditional stability theorems require the time-scale derivative of related Lyapunov function to …

On the consensus tracking investigation for multi-agent systems on time scale via matrix-valued Lyapunov functions

S Babenko, M Defoort, M Djemai, S Nicaise - Automatica, 2018 - Elsevier
This paper is devoted to the leader–follower consensus problem for high-order multi-agent
systems with inherent nonlinear dynamics evolving on an arbitrary time domain. This …

Some nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales

Y Tian, AA El-Deeb, F Meng - Discrete Dynamics in Nature and …, 2018 - Wiley Online Library
We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic
integral inequalities on time scales, which can provide explicit bounds on unknown …

Sufficient conditions for uniform exponential stability and h-stability of some classes of dynamic equations on arbitrary time scales

BB Nasser, K Boukerrioua, M Defoort, M Djemai… - Nonlinear Analysis …, 2019 - Elsevier
This paper investigates the exponential stability and h-stability problems of some classes of
nonlinear systems. First, we analyze the global uniform exponential stability for a class of …

Total controllability results for a class of time‐varying switched dynamical systems with impulses on time scales

V Kumar, M Djemai, M Defoort… - Asian Journal of …, 2022 - Wiley Online Library
In this paper, we establish some necessary and sufficient conditions of the controllability
results for a class of impulsive switched systems with non‐instantaneous jumps on time …

Multiobjective robust H2/H∞ fuzzy tracking control for thermal system of power plant

M Liu, Z Dong - Journal of Process Control, 2018 - Elsevier
In this study, we introduce a multiobjective robust fuzzy H 2/H∞ tracking control scheme for
nonlinear dynamic superheat temperature system of an ultra-supercritical power plant to …

Mean square consensus of double-integrator multi-agent systems under intermittent control: A stochastic time scale approach

D Poulsen, M Defoort, M Djemai - Journal of the Franklin Institute, 2019 - Elsevier
We consider the leader–follower consensus problem for a multi-agent system where
information is exchanged only on a non-uniform discrete stochastic time domain. For a …

Event-triggered exponential stabilization of delayed systems on time scales

J Lin, W Tang, Y Sheng, Q Xiao, Z Zeng - Journal of the Franklin Institute, 2024 - Elsevier
This paper addresses exponential stabilization issue for delayed systems on time scales. A
dynamic event-triggered strategy (DETS) is proposed that relies on both the last sampled …

Opinions dynamics for a generalized nonlinear model with state-dependent susceptibility in signed networks on time scales

J Zhang, W Zhang - Journal of the Franklin Institute, 2024 - Elsevier
This article studies the opinions dynamics for a generalized nonlinear model with state-
dependent susceptibility in signed networks on time scales. Unlike continuous-time or …

Practical stability and stabilisation of switched delay systems with non‐vanishing perturbations

Y Tian, Y Sun - IET Control Theory & Applications, 2019 - Wiley Online Library
This study addresses practical stability and stabilisation of switched delay systems with
bounded non‐vanishing perturbations. By introducing a new method, ie the convergence …