invariance-like theorems (advanced stability analysis)
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Nonlinear Systems Analysis
Lecture Note
Section 8.3
Invariance-like Theorems(Advanced Stability Analysis)
Feng-Li LianNTU-EE
Sep05 – Jan06
NTUEE-NSA-Ch8.3-2Feng-Li Lian © 2005Outline
The Center Manifold Theorem (8.1)Region of Attraction (8.2)Invariance-Like Theorems (8.3)Stability of Periodic Systems (8.4)
NTUEE-NSA-Ch8.3-3Feng-Li Lian © 2005Invariance-like Theorems (8.3)
NTUEE-NSA-Ch8.3-4Feng-Li Lian © 2005Barbalat’s Lemma
NTUEE-NSA-Ch8.3-5Feng-Li Lian © 2005Barbalat’s Lemma
NTUEE-NSA-Ch8.3-6Feng-Li Lian © 2005Barbalat’s Lemma
NTUEE-NSA-Ch8.3-7Feng-Li Lian © 2005Theorem 8.4
NTUEE-NSA-Ch8.3-8Feng-Li Lian © 2005Theorem 8.4
NTUEE-NSA-Ch8.3-9Feng-Li Lian © 2005Theorem 8.4
NTUEE-NSA-Ch8.3-10Feng-Li Lian © 2005Theorem 8.4: Part of Proof
NTUEE-NSA-Ch8.3-11Feng-Li Lian © 2005Theorem 8.4: Part of Proof
NTUEE-NSA-Ch8.3-12Feng-Li Lian © 2005Theorem 8.5: U.A.S.
NTUEE-NSA-Ch8.3-13Feng-Li Lian © 2005Theorem 8.5: U.A.S.
NTUEE-NSA-Ch8.3-14Feng-Li Lian © 2005Theorem 8.5: U.A.S.
NTUEE-NSA-Ch8.3-15Feng-Li Lian © 2005Example 8.11: L.T.V.
NTUEE-NSA-Ch8.3-16Feng-Li Lian © 2005Example 8.11: L.T.V.
NTUEE-NSA-Ch8.3-17Feng-Li Lian © 2005Example 8.11: L.T.V.
NTUEE-NSA-Ch8.3-18Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-19Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-20Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-21Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-22Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-23Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-24Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-25Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-26Feng-Li Lian © 2005Example 8.12: Adaptive Control
NTUEE-NSA-Ch8.3-27Feng-Li Lian © 2005Observability of Time-Varying Systems
NTUEE-NSA-Ch8.3-28Feng-Li Lian © 2005Observability of Time-Varying Systems
NTUEE-NSA-Ch8.3-29Feng-Li Lian © 2005Observability of Time-Varying Systems
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