Control of convex-monotone systems

Anders Rantzer; Bo Bernhardsson

Control of convex-monotone systems

Research output: Contribution to conference › Paper, not in proceeding

Abstract

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.

Original language	English
Pages	2378-2383
Publication status	Published - 2014
Event	53rd IEEE Conference on Decision and Control - Los Angeles, CA, United States Duration: 2014 Dec 15 → …

Conference

Conference	53rd IEEE Conference on Decision and Control
Country/Territory	United States
City	Los Angeles, CA
Period	2014/12/15 → …

Subject classification (UKÄ)

Control Engineering

LCCC
Holmqvist, A., Andersson, N., Cervin, A., Mannesson, A., Gattami, A., Ghulchak, A., Papadopoulos, A. V., Rantzer, A., Robertsson, A., Sootla, A., THEORIN, A., Bernhardsson, B., Olofsson, B., Wittenmark, B., Grussler, C., Johnsson, C., Madjidian, D., Johannesson, E., Magnusson, F., Ståhl, F., Como, G., Chasparis, G., Turesson, G., Dressler, I., Åkesson, J., Cho, J. H., Årzén, K., Åström, K. J., Sou, K. C., Mårtensson, K., Berntorp, K., Soltesz, K., Lessard, L., Hast, M., Rönn, M., Ansbjerg Kjær, M., Maggio, M., Kristalny, M., Garpinger, O., From, P. J., Larsson, P., Giselsson, P., Johansson, R., Hägglund, T., Vladimerou, V., Romero Segovia, V., Aurelius, A., Cedersjö, G., Bür, K., Dellkrantz, M., Du, M., Amani, P., Larsson, R., Tärneberg, W., Li, Z., Yin, L., Tufvesson, F., Höst, S., Nilsson, B., Stenström, S., Andersson, J. A., Diehl, S., Dürango, J., Ghazaei Ardakani, M., Forsberg, P., Bengtsson, F., Jörntell, H., Arévalo, C., Führer, C., Andersson, C., Mohammadi, F., Ödling, P., Andersson, M., Kihl, M. & Tunestål, P.
2008/07/01 → 2018/06/30
Project: Research

Cite this

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title = "Control of convex-monotone systems",

abstract = "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.",

author = "Anders Rantzer and Bo Bernhardsson",

year = "2014",

language = "English",

pages = "2378--2383",

note = "53rd IEEE Conference on Decision and Control ; Conference date: 15-12-2014",

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TY - CONF

T1 - Control of convex-monotone systems

AU - Rantzer, Anders

AU - Bernhardsson, Bo

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

M3 - Paper, not in proceeding

SP - 2378

EP - 2383

T2 - 53rd IEEE Conference on Decision and Control

Y2 - 15 December 2014

ER -

Control of convex-monotone systems

Abstract

Conference

Subject classification (UKÄ)

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Projects

LCCC

Cite this