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• W2016367204 abstract "Abstract This paper considers global asymptotic stability and robustness of cascaded nonlinear stochastic systems, and presents Lyapunov-based criteria. Constituent systems are characterized in terms of dissipation inequalities almost in the form of input-to-state stability (ISS) which is popular for both stochastic and deterministic systems. As an important unique feature of stochastic systems, this paper first demonstrates that assuming ISS systems having unbounded decay rate is restrictive, which contrasts sharply with the deterministic case. This motivates the second part of the main results focusing on ISS systems with bounded decay rate as well as systems which are not ISS. With these developments, this paper proposes a framework based on integral input-to-state stability (iISS) and demonstrates its usefulness." @default.
• W2016367204 created "2016-06-24" @default.
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• W2016367204 date "2014-01-01" @default.
• W2016367204 modified "2023-10-02" @default.
• W2016367204 title "Stability Criteria for Cascaded Nonlinear Stochastic Systems Admitting Not Necessarily Unbounded Decay Rate" @default.
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• W2016367204 doi "https://doi.org/10.3182/20140824-6-za-1003.00725" @default.
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