Positive polynomials

1. Types of polynomials

1.1. Scalar or matrix polynomials

1.1.1. Trigonometric polynomials

1.1.2. Real polynomials

1.1.3. Hybrid polynomials

2. POS3POLY

3. Convex optimization

3.1. Solve with SeDuMi

4. Application

4.1. The controllability radius

4.2. Stability

4.3. Adjustable filters

4.4. Spatially interconnected systems

5. Parameterization with positive matrices