Stability Criteria on a Type of Differential Inclusions with Nonlinear Integral Delays

  • Shuli GuoEmail author
  • Lina Han


It is very difficult in directly analyzing the robust stability of uncertain differential inclusions.  If all points of the convex polyhedron are found, we can easily analyze the stability of convex points to obtain the stability of the uncertain differential inclusions. The new method of constructing polyhedron Lyapunov functional for given differential inclusions with nonlinear integral delays is presented. Algebraic criteria of asymptotical stable of the zero solution of a class of differential inclusion with nonlinear integral delays is outlined, too.  Moreover, the above conclusions are similarly generalized to show by the Ricatti matrix inequalities.  Finally, an interesting example is presented to illustrate the main result effectively.



This work is Supported by National Key Research and Development Program of China (2017YFF0207400).


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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Key Laboratory of Complex System Intelligent Control and Decision, School of AutomationBeijing Institute of TechnologyBeijingChina
  2. 2.Department of Cardiovascular Internal Medicine of Nanlou Branch, National Clinical Research Center for Geriatric DiseasesChinese PLA General HospitalBeijingChina

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