Stabilization of neutral-type indirect control systems to absolute stability state

Advances in Difference Equations

Andriy Shatyrko¹  Denys Khusainov¹  Alla Kolechkina²  Ronald RP van Nooijen² 

[1] Department of Complex System Simulation, Faculty of Cybernetic, Taras Shevchenko National University of Kyiv, Kiev, Ukraine;Faculty of Civil Engineering and Geo Sciences, Delft University of Technology, Delft, Netherlands

关键词: Lyapunov-Krasovskii functional;    stabilization;    absolute stability;    neutral-type time-delay argument;    34H15;    34K20;    93C10;    93D05;   

DOI  :  10.1186/s13662-015-0405-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper provides sufficient conditions for absolute stability of an indirect control Lur’e problem of neutral type. The conditions are derived using a Lyapunov-Krasovskii functional and are given in terms of a system of matrix algebraic inequalities. From these matrix inequalities a sufficient condition for linear state feedback stabilizability follows.

【 授权许可】

CC BY