Analytical Stability Conditions on Interconnected Nonlinear Systems With Delays

Exponential Stability of Linear Systems with Multiple Time Delays

In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...

Stability of a nonlinear non-autonomous fractional order systems with different delays and non-local conditions

* Correspondence: [email protected] Faculty of Science, Alexandria University, Alexandria, Egypt Full list of author information is available at the end of the article Abstract In this paper, we establish sufficient conditions for the existence of a unique solution for a class of nonlinear non-autonomous system of Riemann-Liouville fractional differential systems with different constant delay...

New Stability Conditions for Neutral Systems with Distributed Delays

The certain and uncertain neutral systems with distributed delays are investigated in this paper. The uncertainties under consideration are time-varying, but norm bounded. By the delay-dividing approach, firstly new asymptotic stability conditions for the certain neutral systems with distributed delays are given by Lyapunov method. Then the asymptotic stability conditions for the uncertain case...

New stability conditions for systems with distributed delays

Local and global asymptotic stability of nonlinear cascade interconnected systems

K e y w o r d s N o n l i n e a r systems, Cascade systems, Discrete-time systems~ Local asymptotic stability, Global asymptotic stability.