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View all- Chesi G(2015)Minimizing trigonometric matrix polynomials over semi-algebraic setsAutomatica (Journal of IFAC)10.1016/j.automatica.2014.12.00752:C(266-271)Online publication date: 1-Feb-2015
Positive trigonometric polynomials for strong stability of difference equations
Pages 2207 - 2212
Abstract
We follow a polynomial approach to analyse strong stability of continuous-time linear difference equations with several delays. Upon application of the Hermite stability criterion on the discrete-time homogeneous characteristic polynomial, assessing strong stability amounts to deciding positive definiteness of a multivariate trigonometric polynomial matrix. This latter problem is addressed with a converging hierarchy of linear matrix inequalities (LMIs). Numerical experiments indicate that certificates of strong stability can be obtained at a reasonable computational cost for state dimension and number of delays not exceeding 4 or 5.
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- Positive trigonometric polynomials for strong stability of difference equations
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Published: 01 September 2012
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View all- Chesi G(2015)Minimizing trigonometric matrix polynomials over semi-algebraic setsAutomatica (Journal of IFAC)10.1016/j.automatica.2014.12.00752:C(266-271)Online publication date: 1-Feb-2015
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