• Journal of the Chungcheong Mathematical Society
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• v.9 no.1
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• pp.183-190
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• 1996

• Communications of the Korean Mathematical Society
• /
• v.9 no.1
• /
• pp.67-77
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• 1994

• Journal of the Korean Mathematical Society
• /
• v.17 no.2
• /
• pp.169-173
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• 1981

• Korean Journal of Mathematics
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• v.3 no.2
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• pp.197-202
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• 1995

• Bulletin of the Korean Mathematical Society
• /
• v.13 no.2
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• pp.73-75
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• 1976

• Journal of the Korean Mathematical Society
• /
• v.29 no.2
• /
• pp.239-250
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• 1992

• Kyungpook Mathematical Journal
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• v.17 no.2
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• pp.211-214
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• 1977

• Kyungpook Mathematical Journal
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• v.33 no.2
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• pp.149-161
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• 1993

• Journal of the Korean Mathematical Society
• /
• v.39 no.2
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• pp.277-287
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• 2002

Let B be the open unit ball with center 0 in the complex space $C^n$. For each q>0, B$_{q}$ consists of holomorphic functions f : B longrightarrow C which satisfy sup z $\in$ B $(1-\parallel z \parallel^2)^q\parallel\nabla f(z)\parallel < \infty$ In this paper, we will show that functions in weighted Bloch spaces $B_{q}$ (0 < q < 1) satifies the following Lipschitz type result for Bergman metric $\beta$: ｜f(z)-f($\omega$)｜< $C\beta$(z, $\omega$) for some constant C.

• Honam Mathematical Journal
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• v.30 no.2
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• pp.369-378
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• 2008

Modeling nonlinear friction effects is a challenging problem. In this paper, a tracking controller is proposed for a system with uncertain nonlinear friction dynamics. Instead of using a specific friction model, we assume that the friction dynamics are represented by a function, which is unknown except its being continuously differentiable and Lipschitz continuous with known Lipschitz constants. It is shown that the scheme results in friction identification and trajectory position and velocity tracking. The analysis is done using Lyapunov-based stability method.