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Stability and boundedness in terms of two measures for nonlinear impulsive control systems

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Abstract

In this paper we study stability and boundedness in terms of two measures for impulsive control systems. By using variational Lyapunov method, a new variational comparison principle and some criteria on stability and boundedness are obtained. An example is presented to illustrate the efficiency of proposed result.

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Authors and Affiliations

  1. School of Statistics and Mathematics Science, Shandong Economic University, Jinan Shandong, 250014, China

    Qiang Xi

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  1. Qiang Xi
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Correspondence to Qiang Xi.

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Qiang XI was born in 1981. He received the M.S. degree from Shandong Normal University in 2006. Currently, he is a lecturer at the School of Statistics and Mathematics Science, Shandong Economic University. His main research interests include qualitative theory of nonlinear impulsive differential equations.

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Xi, Q. Stability and boundedness in terms of two measures for nonlinear impulsive control systems. J. Control Theory Appl. 7, 243–247 (2009). https://doi.org/10.1007/s11768-009-8039-9

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  • DOI: https://doi.org/10.1007/s11768-009-8039-9

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