Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design

نویسندگان

  • Yiguang Hong
  • Zhong-Ping Jiang
  • Gang Feng
چکیده

This paper extends the well-known concept, input-to-state stability (ISS), to finitetime control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), along with related concepts such as finite-time input-output stability and finite-time small-gain theorems, is discussed, and then is applied to both the finite-time stability analysis and the finite-time stabilizing feedback design. With finite-time convergence, non-smoothness has to be considered, which poses serious technical challenges in the analysis and synthesis of closed-loop finite-time systems. It is found that FTISS plays a key role in the study of finite-time stability and stabilization of nonlinear systems.

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عنوان ژورنال:
  • SIAM J. Control and Optimization

دوره 48  شماره 

صفحات  -

تاریخ انتشار 2010