Exponential Stability of Linear Time-Invariant Systems on Time Scales

نویسندگان

  • T. S. Doan
  • A. Kalauch
چکیده

Several notions of exponential stability of linear time-invariant systems on arbitrary time scales are discussed. We establish a necessary and sufficient condition for the existence of uniform exponential stability. Moreover, we characterize the uniform exponential stability of a system by the spectrum of its matrix. In general, exponential stability of a system can not be characterized by the spectrum of its matrix.

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تاریخ انتشار 2009