Analysis algorithm of linear time-varying systems

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K06136
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering/System engineering
• Research Institution: Kanazawa University (2016-2017); Nagoya University (2015)
• Principal Investigator: Jikuya Ichiro 金沢大学, 電子情報学系, 准教授 (90345918)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 制御工学 / 線形時変システム / システム解析

Outline of Final Research Achievements

In this work, the new concept of differentially controllable subspace is introduced. A state of the linear time-varying system is said to be differentially controllable if the state can be transferred to the origin in an arbitrary small time-interval. The set of differentially controllable states is said to be the differentially controllable subspace. Computational procedures are presented for piecewise analytic linear time-varying systems. Then, it is shown that the differentially controllable subspace are invariant with respect to the coordinate transformation. It is also shown that the differentially controllable subspace are invariant with respect to the state transition on each time-interval on which the coefficients matrices are analytic.

Free Research Field

制御工学