離散動的システムの安定性について

奥山 佳史

doi:10.11511/jacc.59.0_253

THE 59TH JAPAN JOINT AUTOMATIC CONTROL CONFERENCE

Session ID : ThB5-4

DOI https://doi.org/10.11511/jacc.59.0_253

Conference information

Host: The Japan Society of Mechanical Engineers, The Society of Instrument and Control Engineers, The Institute of Systems, Control and Information Engineers, The Society of Chemical Engineers, The Japan Society for Precision Engineering, The Japan Society for Aeronautical and Space Sciences, The Institute of Electrical Engineers of Japan

Co-host: Technically Cosponsored by 51 Societies and Institutes

Name : THE 59TH JAPAN JOINT AUTOMATIC CONTROL CONFERENCE

Location : [in Japanese]

Date : November 10, 2016 - November 12, 2016

Some Considerations on the Stability of Discrete Dynamical Systems

Yoshifumi Okuyama

Author information

Keywords: Finite state systems, Time-invariant nonlinear elements, Simultaneous linear inequalities, M-matrices, Relative stability

CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract

In the digital society, information, communication and control technologies are realized based on a packet of signals (or a finite number of data). That is, control systems are operated by discretized signals not only in the time domain, but also in the state space. In this paper, the stability of (nonlinear) discrete dynamical systems is analyzed by using simultaneous linear inequalities for multiple metrics. Some numerical examples of a 2nd order discrete dynamical system are presented to clarify the meaning of the stability. It is also examined that periodic responses with different periods are appeared in those examples because of finite state systems.

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