Control of convex-monotone systems

Summary, in English

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.

• Författare: Anders Rantzer; Bo Bernhardsson
• Avdelning/ar: Institutionen för reglerteknik; ELLIIT: the Linköping-Lund initiative on IT and mobile communication
• Publiceringsår: 2014
• Språk: Engelska
• Sidor: 2378-2383
• Dokumenttyp: Konferensbidrag
• Ämne: Control Engineering
• Conference name: 53rd IEEE Conference on Decision and Control
• Conference date: 2014-12-15
• Conference place: Los Angeles, CA, United States
• Status: Published
• Projekt: LCCC
• Forskningsgrupp: LCCC; ELLIIT