Robust stability of uncertain impulsive dynamical systems |
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| Authors: | Bin Liu Xinzhi Liu Xiaoxin Liao |
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| Institution: | a Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China;b Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 |
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| Abstract: | This paper studies robust stability of uncertain impulsive dynamical systems. By introducing the concepts of uniformly positive definite matrix functions and Hamilton–Jacobi/Riccati inequalities, several criteria on robust stability, robust asymptotic stability and robust exponential stability are established. An example is also worked through to illustrate our results. |
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| Keywords: | Uncertain impulsive systems Uncertainty Robust stability Hamilton– Jacobi/Riccati inequality Interval matrix |
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