LMI Techniques for Optimization Over Polynomials in Control: A Survey

Estimating the domain of attraction for non-polynomial systems via LMI optimizations

(2009) Graziano Chesi   AUTOMATICA

Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness

(2009) Y. Ebihara et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions

(2009) M.M. Peet   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Stability analysis of uncertain genetic sum regulatory networks

(2008) G. Chesi et al.   AUTOMATICA

Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming

(2008) Weehong Tan et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Robust Stability of LTI Systems Over Semialgebraic Sets Using Sum-of-Squares Matrix Polynomials

(2008) Javad Lavaei et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

An elementary and constructive solution to Hilbert's 17th Problem for matrices

(2007) Christopher J. Hillar et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY