Adaptive tracking control for switched stochastic nonlinear systems with unknown actuator dead-zone

By Xudong Zhao, Peng Shi, Xiaolong Zheng, Lixian Zhang. at - Automatisierungstechnik, 2015

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Adaptive Fuzzy Control for Nontriangular Structural Stochastic Switched Nonlinear Systems With Full State Constraints (2019, methodology): “Lemma 1 (see [5]): It is assumed that there exist a C2 function V : R → R+ , two positive constants C and D, and two functions α1 , ᾱ1 ∈ K∞, and one has { α1 (|x|) ≤ V (x) ≤ ᾱ1 (|x|) V (x) ≤ −CV (x) + D.”
New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach (2017, background): “Thus, stability analysis for switched systems has been extensively investigated over the past decades [8], [11], [14], [19], [24], [25], [28].”
Adaptive dynamic surface asymptotic tracking for a class of uncertain nonlinear systems (2018, neutral): “0 σ(τ)dτ ≤ σ1 < +∞ (9) |σ̇(t)| ≤ σ2 < +∞, (10) where σ1 and σ2 are any positive constants.”
Input‐to‐state stability of nonlinear stochastic time‐varying systems with impulsive effects (2017, background): “At the same time, real-time systems are often subjected to a noisy environment, and therefore, the stochastic modeling issue is of vital importance in various applications such as neurotransmitters and communication systems [27, 28].”