1 Table of Contents: “... -- 5. Archimedean Rings -- 6. Positive Polynomials on Semialgebraic Sets -- 7. Sums of 2mth Powers -- 8...”

2 “...Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003...”

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5 Table of Contents: “...1. Preliminaries -- 2. Sums of Squares and Positive Polynomials. - 3. Global Certificates...”

6 Table of Contents: “...POSITIVE POLYNOMIALS -- GRAM MATRIX REPRESENTATION -- MULTIVARIATE POLYNOMIALS -- POLYNOMIALS...”

7 Table of Contents: “...Part I: Moments and Positive Polynomials for Optimization by Jean B. Lasserre -- Part II...”

8 Table of Contents: “...Positive Polynomials -- Gram Matrix Representation -- Multivariate Polynomials -- Polynomials...”

9 Table of Contents: “.... Positive Polynomials and Moment Problems: 2. Positive polynomials and moment problems; 3. Another look...”

10 Table of Contents: “... Properties of Positive Polynomial Systems using Transformations -- Almost Oscillatory Solutions of Second...”

11 Table of Contents: “... Orbits Based on Semi-Analytical Integration -- Chapter 6: On the Use of Positive Polynomials...”

12 Table of Contents: “... Approximation -- Abstract Cones of Positive Polynomials and Their Sums of Squares Relaxations -- Asynchronous...”

13 “... of mathematical backgrounds, with basics of positive polynomials and calculations by using the Groebner basis...”