"Difference equations; Time-delay; Stability tests; Polynomial methods; Optimisation"@en . . "1"^^ . . "RIV/68407700:21230/12:00194285" . . "6"^^ . "Positive trigonometric polynomials for strong stability of difference equations" . "21230" . "48" . "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 discretetime 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."@en . . "159925" . "0005-1098" . "Positive trigonometric polynomials for strong stability of difference equations"@en . "Henrion, Didier" . "Positive trigonometric polynomials for strong stability of difference equations"@en . . . "RIV/68407700:21230/12:00194285!RIV13-MSM-21230___" . "9" . . . . "Automatica" . . . "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 discretetime 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." . . "Vyhl\u00EDdal, Tom\u00E1\u0161" . "Henrion, Didier" . . "P(1M0567), P(GAP103/10/0628), P(MEB020915)" . "Positive trigonometric polynomials for strong stability of difference equations" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . . . . . "[824B79DB97B5]" . "10.1016/j.automatica.2012.06.021" . "000308454100029" . "2"^^ . .