Stabilization of stochastic nonlinear systems with multiplicative state sensing noise
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DOI: 10.1002/asjc.3567
Abstract: In this paper, we study the stabilization problem of stochastic nonlinear systems with multiplicative state noise. A key obstacle arises when sensor faults are contaminated by multiplicative white noise, rendering the measured values inherently nondifferentiable… read more here.
Keywords: nonlinear systems; systems multiplicative; control; multiplicative state ... See more keywords
A Positive Real Lemma Type-Result with Respect to the Anisotropic Norm for Stochastic Systems with Multiplicative Noise
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DOI: 10.1016/j.ifacol.2018.11.119
Abstract: Abstract The passivity of discrete–time linear stochastic systems with multiplicative noise is considered, where the systems inputs have bounded anisotropy. Using first principles analysis applying completing the square arguments, it is proved that such systems… read more here.
Keywords: positive real; stochastic systems; real lemma; multiplicative noise ... See more keywords
Stabilization of Triangular Nonlinear Systems With Multiplicative Stochastic State Sensing Noise
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DOI: 10.1109/tac.2022.3201032
Abstract: We present new state feedback control designs for lower/upper triangular nonlinear systems with multiplicative stochastic sensor uncertainty. For lower triangular nonlinear systems with small sensor noise, we develop a novel control design where the control… read more here.
Keywords: multiplicative stochastic; noise; state; systems multiplicative ... See more keywords