Stability of fractional-order nonlinear systems depending on a parameter

A Ben Makhlouf, MA Hammami… - Bulletin of the Korean …, 2017 - koreascience.kr
In this paper, we present a practical Mittag Leffler stability for fractional-order nonlinear
systems depending on a parameter. A sufficient condition on practical Mittag Leffler stability …

A new Lyapunov function for stability of time-varying nonlinear perturbed systems

A BenAbdallah, M Dlala, MA Hammami - Systems & control letters, 2007 - Elsevier
In this paper, global and local uniform asymptotic stability of perturbed dynamical systems is
studied by using Lyapunov techniques. The restriction about the perturbed term is that the …

A new approach for stabilization of control-affine systems via integral inequalities

A Ben Makhlouf, MA Hammami… - IMA Journal of …, 2022 - academic.oup.com
In this work, we use a bilinear approximation to examine the stability problem of a class of
control-affine systems. We show that a continuous feedback may stabilize the system with …

Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability

M Hammi, MA Hammami - Cubo (Temuco), 2015 - SciELO Chile
In this paper, some new nonlinear generalized Gronwall-Bellman-Type integral inequalities
are established. These inequalities can be used as handy tools to research stability …

Non-linear integral inequalities and applications to asymptotic stability

M Hammi, MA Hammami - Ima journal of mathematical control …, 2015 - academic.oup.com
In this paper, some new non-linear integral inequalities are established. These inequalities
can be used in the study of stability problems of perturbed dynamic systems. As applications …

A nonlinear inequality and application to global asymptotic stability of perturbed systems

AB Makhlouf, MA Hammami - Mathematical Methods in the …, 2015 - Wiley Online Library
The goal of this work is to present a new nonlinear inequality which is used in a study of the
Lyapunov uniform stability and uniform asymptotic stability of solutions to time‐varying …

Stability of nonlinear time-varying perturbed differential equations

B Ben Hamed, Z Haj Salem, MA Hammami - Nonlinear Dynamics, 2013 - Springer
The goal of this paper is twofold. The first part presents a converse Lyapunov theorem for the
notion of uniform practical exponential stability of nonlinear differential equations in …

[PDF][PDF] On the global exponential stabilization of Takagi-Sugeno fuzzy uncertain systems

M Ksantini, MA Hammami… - Int. J. Innov. Comput. Inf …, 2015 - researchgate.net
In this paper, the design problem of feedback controller for Takagi-Sugeno fuzzy models is
considered. Some new sufficient conditions will be given to ensure the exponential stability …

[HTML][HTML] Observer Design for Fractional-Order Polynomial Fuzzy Systems Depending on a Parameter

H Gassara, M Rhaima, L Mchiri, A Ben Makhlouf - Fractal and Fractional, 2024 - mdpi.com
For fractional-order systems, observer design is remarkable for the estimation of unavailable
states from measurable outputs. In addition, the nonlinear dynamics and the presence of …

Exponential stabilization of fuzzy systems with perturbations by using state estimation

F Delmotte, MA Hammami, A Jellouli - International Journal of …, 2021 - Taylor & Francis
In this paper, the concept of practical output feedback controller for Takagi-Sugeno fuzzy
models is introduced. Some new sufficient conditions are obtained to ensure the exponential …