%0 Journal Article %T Exponential Stability Analysis for Delay-Differential Systems of Neutral Type with an LMI Approach %J Khayyam Journal of Mathematics %I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures) %Z 2423-4788 %A Umesha, Veerakyathaiah %A Padmanabhan, Spirangaiah %A Baskar, P. %A Syed Ali, Muhammad %D 2019 %\ 01/01/2019 %V 5 %N 1 %P 11-20 %! Exponential Stability Analysis for Delay-Differential Systems of Neutral Type with an LMI Approach %K Neutral system %K exponential stability %K Lyapunov method %K linear matrix inequality (LMI) %R 10.22034/kjm.2018.73499 %X In this paper for neutral delay differential systems, the problem of determining the exponential stability is investigated. Based on the Lyapunov method, we present some useful criteria of exponential stability for the derived systems. The stability criterion is formulated in terms of linear matrix inequality (LMI),which can be easily solved by using the MATLAB LMI toolbox. Numerical examples are included to illustrate the proposed method. %U https://www.kjm-math.org/article_73499_aafcf9d48fb015be832da281da3efe11.pdf