Improved exponential stability criteria of time-delay systems via weighted integral inequalities

• DOI: 10.1016/j.aml.2018.06.013
• Publication Date: 2018-06-19T23:02:02Z
• Authors: SeakWeng Vong; Chenyang Shi; Dongdong Liu
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

Abstract In this paper, we establish new weighted integral inequalities by considering polynomials which are orthogonal in a weighted sense. These inequalities generalize some results established recently. They are applied to study exponential stability of some time-delay systems under the framework of linear matrix inequalities. Numerical tests are given to demonstrate the efficiency of the derived stability conditions.