Attitude tracking control for Mars entry vehicle via T-S model with time-varying input delay

Non‐fragile control design and state estimation for vehicle dynamics subject to input delay and actuator faults

“…When w (t) = 0, the inequality (24) implies that V(t, x¯(t)) > 0 is a monotonic decreasing function and it follows from (17) that ∥ x¯(t) ∥ 2 → 0 as t → ∞. Hence, the augmented closed-loop system (11) is asymptotically stable.…”

“…[18][19][20][21] and the references therein). Moreover, input delays are frequently appeared in the practical engineering control systems and are the source of system instability (see, for instance [22][23][24][25]). Thus, it is more significant to investigate the stability issue of the control systems subject to input delays, especially vehicle systems.…”

Composite attitude fault tolerant tracking control for flexible satellite with time delay

“…Then, the system (18) is AS and satisfies H ∞ performance with ky e ðtÞk 2 2 < γ 2 _ FðtÞ Proof. The following Lyapunov-Krasovskii function 37 is chosen for the system (18)…”

“…37 For any matrix Z b > O , scalars κ a > κ b , there exists a Lebesque vector ζ ( s ) making the following inequality holdwhere trueζ^(s)=∫κbκaζ(s)ds.…”