A Converse Theorem on Practical h-Stability of Nonlinear Systems

H Damak, MA Hammami, A Kicha - Mediterranean Journal of Mathematics, 2020 - Springer
In this paper, we investigate the practical h-stability problems of some classes of nonlinear
systems as an extension of practical exponential stability. We derive some sufficient …

A converse theorem for practical -stability of time-varying nonlinear systems

H Damak, MA Hammami, A Kicha - New Zealand Journal of …, 2020 - nzjmath.org
This paper treats the concept of practical uniform $ h $-stability for such perturbed dynamical
systems as an extension of practical uniform exponential stability. We present a converse …

Exponential stability of impulsive cascaded systems and its application in robot control

M Dlala - IEEE Access, 2022 - ieeexplore.ieee.org
In this paper, we study the problem of exponential stability of impulsive cascaded systems. In
particular, we provide some sufficient conditions that guarantee the exponential stability of …

CONVERGENCE OF SOLUTIONS OF NONAUTONOMOUS PERTURBED SINGULAR SYSTEMS VIA A REFINED INTEGRAL INEQUALITY

F Ezzine, MA Hammami, W Hdidi - Rocky Mountain Journal of …, 2024 - projecteuclid.org
The construction of a suitable Lyapunov function is still a difficult task. This paper mainly
analyzes the practical uniform exponential stability of linear time-varying singular systems …

Some results on the practical -exponential stability of nonlinear systems

B Ghanmi, I Basdouri, T Fajraoui… - Rocky Mountain Journal …, 2021 - projecteuclid.org
We study the practical exponential stability of nonlinear systems with generalized sufficient
conditions. We use Lyapunov's direct method, hence we extend previous results on the …