Stochastic Asymptotic Stabilizers for Deterministic Input-Affine Systems Based on Stochastic Control Lyapunov Functions
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概要
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In this paper, a stochastic asymptotic stabilization method is proposed for deterministic input-affine control systems, which are randomized by including Gaussian white noises in control inputs. The sufficient condition is derived for the diffusion coefficients so that there exist stochastic control Lyapunov functions for the systems. To illustrate the usefulness of the sufficient condition, the authors propose the stochastic continuous feedback law, which makes the origin of the Brockett integrator become globally asymptotically stable in probability.
著者
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WAKASA Yuji
Graduate School of Science and Engineering, Yamaguchi University
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Tanaka Kanya
Graduate School Of Sci. And Engineering Yamaguchi Univ.
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Wakasa Yuji
Graduate School Of Sci. And Engineering Yamaguchi Univ.
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Nishimura Yuki
Graduate School Of Sci. And Engineering Yamaguchi Univ.
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YAMASHITA Yuh
Graduate School of Information Science and Technology, Hokkaido University
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