KYP TeachTech

L4: 3 - Lyapunov functions and Lyapunovs stability theorem

L2.2: Second order time invariant systems - 5 Existence periodic orbits

L1.2: Nonlinear vs linear systems - 5 Invariant sets

L1.2: Nonlinear vs linear systems - 3 Examples of nonlinear systems

L1.2: Nonlinear vs linear systems - 7 Common nonlinear phenomena part 2

L4: 4 - Lyapunov theorem for global asymptotic stability

L4: 1 - Introduction

L2.2: Second-order time-invariant systems - 3 Phase portraits

L3: 2 - The control problem

L1.2 Nonlinear vs linear systems - 2 The basic differences

L1.1: Mathematical Tools – 1 Introduction

L3: 1 - Introduction

L3: 3 - Lyapunov stability

L2.2: Second-order time-invariant systems - 2 Concepts

L1.1: Mathematical Tools – 3 Metrics

L1.1: Mathematical Tools – 6 Matrix norms

L1.2: Nonlinear vs linear systems - 4 The superposition principle

L1.1: Mathematical Tools – 7 Differentiable functions

L1.1: Mathematical Tools – 2 Spaces

L1.2: Nonlinear vs linear systems - 6 Common nonlinear phenomena

L2.2: Second-order time-invariant systems - 4 Local analysis

L3: 4 - Lyapunov stability analysis

L4: 2 - Motivation

L1.1: Mathematical Tools – 4 Norms

L4: 5 - Lyapunov theorem for exponential stability

L2.1: Fundamental properties

L2.2 Second-order time-invariant systems - 1 Introduction

L1.1: Mathematical Tools – 5 Inner Products