| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
|---|
| Research Abstract |
The known mathematical models are described by differential equations with periodic or constant coefficients in many cases. In this study, we targeted differential systems with time-varying coefficients (we call non-autonomous differential systems), which may correspond to other cases. In particular, I gave some sufficient conditions of uniform asymptotic stability and its instability for the linear systems and half-linear systems including a damped oscillator. The obtained results for uniform asymptotic stability can be expected strongly to be applied to giving a Lyapunov function with good properties. Therefore, the present study can contribute significantly to the perturbation problem and the robust stability problem.
|
