Robust Stabilization of Uncertain Time-Delay Systems With Fractional Stochastic Noise Using the Novel Fractional Stochastic Sliding Approach and Its Application to Stream Water Quality Regulation

DOI10.1109/TAC.2016.2594261zbMath1366.93578OpenAlexW2489122898MaRDI QIDQ5282421

Khosro Khandani, Mahdieh Tahmasebi, Vahid Johari Majd

Publication date: 27 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2016.2594261

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Time-scale analysis and singular perturbations in control/observation systems (93C70) Adaptive or robust stabilization (93D21) Variable structure systems (93B12) Applications of stochastic analysis (to PDEs, etc.) (60H30) Robust stability (93D09)

Related Items (10)

Controlling Bifurcations in Fractional-Delay Systems with Colored Noise ⋮ Robust \(H_\infty\) filtering and control for a class of linear systems with fractional stochastic noise ⋮ Mean square exponential stabilization of uncertain time‐delay stochastic systems with fractional Brownian motion ⋮ Quantized feedback control for Markovian jumping singular systems driven by fractional Brownian motions ⋮ Stabilization of delayed neutral semi-Markovian jumping stochastic systems driven by fractional Brownian motions: \(H_\infty\) control approach ⋮ Semi-global exponential stability of stochastic nonlinear functional sampling systems by emulation approach ⋮ Resilient dynamic output feedback control for leader-following consensus of high-order uncertain multi-agent systems under sensor-actuator attacks ⋮ Stochastic bounded consensus for multi-agent systems with fractional Brownian motions via sliding mode control ⋮ Adaptive fixed-time tracking control for stochastic pure-feedback nonlinear systems ⋮ Observer-based SMC for stochastic systems with disturbance driven by fractional Brownian motion

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