| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
We derived conditions that stochastic stability for dynamical systems is not influenced by their system noises, and then proposed sufficient conditions that the trajectories of controlled systems converge to some (weak) invariant set. The forms of stochastic Lyapunov functions, ensuring stochastic asymptotic stability, are relaxed to non-differentiable in order to increase the number of stabilizable stochastic systems. The sufficient conditions for stochastic integral-input-to-state stability and almost sure bounded stability were also derived, respectively. And then, stabilization strategy for nonholonomic systems by adding Gaussian white noises was developed.
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