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Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods
interconnected impulsive systems Lyapunov methods
2010/11/18
We consider large-scale networks of impulsive systems with and without time-delays and investigate such systems in view of input-to-state stability (ISS). We provide conditions on the size of the tim...
Exponential stability of switched systems with mixed time delays
Switching system distributed time delay
2010/9/17
This paper address the exponential stability for a class of switched systems with mixed time delays. Based on linear matrix inequalities and Lyapunov-Krasovskii functional approach, a geometrically sw...
Existence and Global Attractivity of Periodic Solutions in $n$-Species Food-Chain System with Time Delays
Time delay Periodic solution Global attractivity
2008/7/1
A delayed periodic n-species simple food-chain system with Holling type-II functional response is investigated. By means of Gaines and Mawhin's continuation theorem of coincidence degree theory and by...
Periodic Solution of a Nonautonomous Diffusive Food Chain System of Three Species with Time Delays
diffusive food chain system positive periodic solution
2007/12/11
By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a nonautonomous diffusive food chain system of three species. { dx_1(t)/dt = x_1(t)[r_...