LMIs in Control/Click here to continue/Applications of Non-Linear Systems/Chebyshev Polynomials

Chebyshev Polynomials Required data A univariate Polynomial whose SOSINEQ range specification is desired The Problem Let be a univariate polynomial of degree being the coefficient of . , subject to: . Formulation The absolute value constraint can be easily rewritten using two inequalities, namely: . Solution The optimal solution is , with being the n-th Chebyshev polynomial of the first kind. Example Code example in SOStools probably worthwhile! Reference SOS tools manual: https://sums-of-squares.github.io/sos/ Related LMIs SOS Basics Return to Main Page: </noinclude>