| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Research Abstract |
This study deals with the global asymptotic stabilization problem and the optimal control problem of nonlinear control system such that the state space is diffeomorphic to a manifold. First, we have investigated a relationship between a stabilizability and a control Lyapunov function. We have shown sufficient conditions for semiconcavity of control Lyapunov functions that are solutions of the Hamilton-Jacobi-Bellman equation of nonlinear optimal regulator problem. Moreover, we have proposed the algorithms for searching the function by using a neural networks and solving the HJB equation.
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