Conference Contribution

Control of convex-monotone systems

Anders Rantzer, Bo Bernhardsson


We define the notion of convex-monotone system and prove that for such systems the state trajectory x(⋅) is a convex function of the initial state x(0) and the input trajectory u(⋅). This observation gives a useful class of nonlinear dynamical systems for which control design can be performed by convex optimization. Applications to evolutionary dynamics of diseases and voltage stability in power networks are presented.

In 53rd IEEE Conference on Decision and Control, Los Angeles, CA, December 2014.

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