Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation

Chapter 8Stabilization Control of Continuous-Time Fractional Positive Systems Based on Disturbance Observer

8.1 Problem Statement

8.1.1 Notation and Definitions

• denotes the -dimensional real space.
• denotes the transpose of a matrix .
• A matrix is called a Metzler matrix if its off-diagonal elements are non-negative.
• A matrix can be seen as a non-negative matrix if all its elements are non-negative, e.g., .
• A vector can be seen as a non-negative vector if all its elements are non-negative, e.g., . It is said to be positive if all its components are positive (). Furthermore, it is said to ...