Observations on robust diffusive stability and common Lyapunov functions
By: Blake McGrane-Corrigan, Rafael de Andrade Moral, Oliver Mason
Potential Business Impact:
Makes systems work together safely.
We consider the problem of robust diffusive stability (RDS) for a pair of coupled stable discrete-time positive linear-time invariant (LTI) systems. We first show that the existence of a common diagonal Lyapunov function is sufficient for RDS and highlight how this condition differs from recent results using linear copositive Lyapunov functions. We also present an extension of these results, showing that the weaker condition of \emph{joint} linear copositive function existence is also sufficient for RDS. Finally, we present two results on RDS for extended Leslie matrices arising in population dynamics.
Similar Papers
Some remarks on stochastic converse Lyapunov theorems
Dynamical Systems
Makes computer systems more stable and predictable.
A Converse Control Lyapunov Theorem for Joint Safety and Stability
Optimization and Control
Ensures robots are safe and stable.
Some remarks on robustness of sample-and-hold stabilization
Systems and Control
Makes robots park better by fixing control problems.