| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| 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.
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