Controllability of Sampled-Data Piecewise Affine Systems

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  • AZUMA Shun-ichi
    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
  • サンプル値区分的アファインシステムの可制御性

Abstract

This paper discusses the controllability problem for a class of continuous-time piecewise affine (PWA) systems with the sampled-data autonomous switching, which we call here the sampled-data PWA systems. First, the four concepts of controllability are introduced based on the aspects of the continuous/discrete state and of the continuous/discrete time, and some inclusion relations among them are discussed. Next, easily checkable, (necessary and) sufficient conditions for the system to be controllable are derived.

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