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math.OC2017
Diagonal stability of a class of discrete-time positive switched systems with delay
Alexander Aleksandrov, Oliver Mason
A class of discrete-time nonlinear positive time-delay switched systems with sector-type nonlinearities is studied. Sufficient conditions for the existence of common and switched d…
math.OC2017
Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius
Nicola Guglielmi, Oliver Mason, Fabian Wirth
We present several results describing the interplay between the max algebraic joint spectral radius (JSR) for compact sets of matrices and suitably defined matrix norms. In particu…
math.OC2015
Diagonal Riccati Stability and Applications
Alexander Aleksandrov, Oliver Mason
We consider the question of diagonal Riccati stability for a pair of real matrices A, B. A necessary and sufficient condition for diagonal Riccati stability is derived and applicat…