A Note on Positive Invariant Set for Linear Uncertain Discrete-Time Systems

  • Matsumoto, H. (Master's program in Graduate School of Science and Engineering, Tokyo Denki University) ;
  • Otsuka, N. (Department of Information Sciences, Tokyo Denki University)
  • Published : 2005.06.02

Abstract

This paper gives some sufficient conditions for a given polyhedral set which is represented as a set of linear inequalities to be positive D-invariant for uncertain linear discrete-time systems in the case such that the systems matrices depend linearly on uncertain parameters whose ranges are given intervals. Further, the results will be applied to uncertain linear continuous systems in the sense of the above by using Euler approximation.

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