Mason, Oliver and Verwoerd, Mark
Observations on the Stability Properties of
Systems and Control Letters, 58 (6).
We extend two fundamental properties of positive linear time-invariant (LTI) systems to homogeneous
cooperative systems. Specifically, we demonstrate that such systems are D-stable, meaning
that global asymptotic stability is preserved under diagonal scaling. We also show that a delayed
homogeneous cooperative system is globally asymptotically stable (GAS) for any non-negative delay if
and only if the system is GAS for zero delay.
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