Observability and Mode Sequence Estimation Property of Piecewise Linear Systems

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  • SHIRANE Kazuto
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology
  • IMURA Jun-ichi
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology

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Other Title
  • 区分的線形システムの可観測性とモードシーケンス推定可能性

Abstract

This paper discusses from the algebraic points of view the relationship among the four properties of discretetime piecewise linear systems, that is, observability, determinability, mode estimatability, and mode-sequence estimatability. First, necessary and sufficient conditions for the system to be determinable, and to be modesequence estimatable are derived. Next, the observability property is characterized in terms of those conditions. Finally, the relationship between the observability property of the original system and the well-posedness property of the time-reversed system is discussed.

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