Technical Communique: On stabilization of min-max systems

Authors:
Qianchuan Zhao;Da-Zhong Zheng
Affiliations:
Department of Automation, Center for Intelligent and Networked Systems, Tsinghua University, Beijing 100084, China;Department of Automation, Center for Intelligent and Networked Systems, Tsinghua University, Beijing 100084, China
Venue:
Automatica (Journal of IFAC)
Year:
2003

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A survey of the theory of min-max systems

ICIC'05 Proceedings of the 2005 international conference on Advances in Intelligent Computing - Volume Part II

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Abstract

This note studies min-max systems which are dynamic systems involving three operations (min,max,+). We present a feedback stabilization policy for a class of min-max systems such that the closed-loop systems have a global cycle time which is the same as the maximal Lyapunov exponent of the open-loop systems. Our results are based on structural properties of min-max systems.