Contents

The notes are organized into four parts:

1. Basic Concepts

Fundamental concepts and mathematical tools for control theory, including:

• Linear time-invariant systems
• Stability and asymptotic stability
• Lyapunov stability theory
• Linear matrix inequalities (LMIs)
• MATLAB LMI Toolbox

2. LTI System Control

Control of linear time-invariant systems, including:

• State-feedback control
• Output-feedback control
• H-infinity performance
• Schur complement
• LMI-based controller design

3. LTI Time-Delay Systems

Analysis and control of linear time-invariant time-delay systems, including:

• Time-delay system models
• Lyapunov-Krasovskii functionals
• Jensen inequality
• Wirtinger-based inequalities
• Delay-dependent stability
• LMI-based stability analysis
• H-infinity performance analysis

4. Robust Control

Topics in robust control and performance analysis, including:

• H-infinity control
• L2-L-infinity performance
• Passivity
• Dissipativity
• Extended dissipativity
• Guaranteed-cost control