Decentralized adaptive tracking control for a class of interconnected nonlinear time-varying systems

By Chenliang Wang, Yan Lin. at - Automatisierungstechnik, 2015

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Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems (2021, background): “Lemma 2 (see [33]): For x ∈ (cid:4) and any constant ε > 0 , we have Lemma 3 (see [15]): Consider χ i ∈ (cid:4) , i = 1 , . . . , n, and κ ∈ [0 , 1] ; we have Lemma 5 (see [34]): f ( Z ) : m → (cid:4) , which is a continuous function on a compact Θ X , can be approximated by an FLS where Z ∈ Ω z ⊂…”
Adaptive Fixed-Time Control for MIMO Nonlinear Systems With Asymmetric Output Constraints Using Universal Barrier Functions (2019, neutral): “Lemma 1 (see [35]): For any constant > 0 and any variable z ∈ R, we have 0 ≤ |z| − z 2 √ z 2 + 2 < .”
Event-Triggered Fuzzy Bipartite Tracking Control for Network Systems Based on Distributed Reduced-Order Observers (2021, background): “Lemma 4: [43] (Young’s inequality): Lemma 5: [44] x is any variable and (cid:9) is any positive constant, the following relation can be obtained:”