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= Suppose that z(t) = P-1(tx(t) is a Lyapunov transformation and suppose that V1(c(t),t) = 2T (t)Q(t).c(t) is a Lyapunov
Posted: Tue Apr 26, 2022 7:46 pm
by answerhappygod
- Suppose That Z T P 1 Tx T Is A Lyapunov Transformation And Suppose That V1 C T T 2t T Q T C T Is A Lyapunov 1 (41.8 KiB) Viewed 33 times
= Suppose that z(t) = P-1(tx(t) is a Lyapunov transformation and suppose that V1(c(t),t) = 2T (t)Q(t).c(t) is a Lyapunov function that proves uniform exponen- tial stability of i(t) = A(t)x(t). Show that vz(z(t), t) = zT (t)PT (t)Q(t)P(t)z(t) is a Lyapunov function that proves uniform exponential stability for ż(t) (P-1(t)A(t)P(t) – P-1(t)P(t)) z(t).