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 …
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
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
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 …
models is introduced. Some new sufficient conditions are obtained to ensure the exponential …