1^ Module Mathematical
tools: norms, usefule inequalities, K, L, KL class functions
2^
Module Stability of nonlinear time-varying systems:
definitions and direct theorems.
Lyapunov functions.
3^ Module
Exponential stability of
linear time-varying systems: direct and converse theorems.
Exponential stability
of a nonlinear time-varying system and its linearization.
4^
Module Stability
of nonlinear time-varying systems: converse theorems. Existence and
construction of Lyapunov functions using system's trajectories.
5^ Module
Invariance theorems: LaSalle theorem and Barbalat lemma. UCO
(uniform complete observability)
property. Invariance of UCO property under output injection.
6^
Module
Parameter identification. Adaptive estimators: gradient and normalized
gradient, gradient and normalized gradient wit projection, dynamic
least squares.
7^
Module
Stability analysis of adaptive estimators. Persistency of excitation
and parameter error convergence.