Peet, M. M.Bonnet, C.Özbay, Hitay2016-02-082016-02-0820090170-8643http://hdl.handle.net/11693/28734Date of Conference: 17-19 SeptemberConference Name: 7th IFAC Workshop on Time Delay Systems, TDS 2007This paper gives a description of how "sum-of-squares" (SOS) techniques can be used to check frequency-domain conditions for the stability of neutral differential systems. For delay-dependent stability, we adapt an approach of Zhang et al. [10] and show how the associated conditions can be expressed as the infeasibility of certain semialgebraic sets. For delay-independent stability, we propose an alternative method of reducing the problem to infeasibility of certain semialgebraic sets. Then, using Positivstellensatz results from semi-algebraic geometry, we convert these infeasibility conditions to feasibility problems using sum-of-squares variables. By bounding the degree of the variables and using the Matlab toolbox SOSTOOLS [7], these conditions can be checked using semidefinite programming.EnglishAlternative methodsDelay independentDelay-dependent stabilityFeasibility problemFrequency domainsMatlab toolboxesNeutral differential systemsConference Paper10.1007/978-3-642-02897-7_9