Explicit criteria for exponential stability of nonlinear singular equations with delays
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By a novel approach, we give some explicit criteria for global exponential stability of singular nonlinear differential equations with delays. An application to electrical networks containing lossless transmission lines is presented.
KeywordsSingular system Nonlinear differential equations with delays Exponential stability
Mathematics Subject Classification34K20
The author would like to thank the anonymous reviewers for carefully reading the manuscript and some constructive suggestions. This work is supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant 101.01-2016.09.
- 1.Dai, L.: Singular Control Systems, Lecture Notes: in Control and Information Sciences, vol. 118 (1989)Google Scholar
- 4.Jiemei, Z., Zhonghui, H.: Stability and passivity analysis for singular systems with time-varying delay. In: Proceedings of the 34th Chinese Control Conference, Hangzhou, China 294-298 (2015)Google Scholar