The Electrical Engineering Handbook

2

Stability

Derong Liu,     Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, Illinois, USA

2.1. Introduction

2.2. Stability Concepts

2.2.1. Bounded-Input Bounded-Output Stability

2.2.2. Zero-Input Stability

2.3. Stability Criteria

2.3.1. Routh’s Stability Criterion

2.3.2. Nyquist Stability Criterion

2.3.3. Phase Margin

2.3.4. Gain Margin

2.4. Lyapunov Stability Concepts

2.4.1. Equilibrium Point

2.4.2. Isolated Equilibrium Point

2.4.3. Stability

2.4.4. Global Properties of an Equilibrium

2.5. Lyapunov Stability of Linear Time-Invariant Systems

2.6. Lyapunov Stability Results

2.6.1. Definteness of a Function

2.6.2. Principle Lyapunov Stability Theorems

References

2.1 Introduction ...