Stabilization of third-order differential equation by delay distributed feedback control

Journal of Inequalities and Applications

Ester Yakovi¹  Shirel Shemesh¹  Alexander Domoshnitsky¹  Roman Yavich¹  Alexander Sitkin¹ 

[1] Department of Mathematics, Ariel University;

关键词: Exponential stability;    Stabilization;    Delay differential equations;    Cauchy function;    W-transform;   

DOI  :  10.1186/s13660-018-1930-5

来源: DOAJ

【 摘 要 】

Abstract There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed.

【 授权许可】

Unknown