Interval observers for discrete-time systems

@article{Mazenc2012IntervalOF,
  title={Interval observers for discrete-time systems},
  author={Fr{\'e}d{\'e}ric Mazenc and Thach Ngoc Dinh and Silviu-Iulian Niculescu},
  journal={2012 IEEE 51st IEEE Conference on Decision and Control (CDC)},
  year={2012},
  pages={6755-6760}
}
First, time-invariant interval observers are proposed for a family of nonlinear systems. Second, it is shown that, for any time-invariant exponentially stable discrete-time linear system with additive disturbances, time-varying exponentially stable discrete-time interval observers can be constructed. The result relies on the design of time-varying changes of coordinates which transform a linear system into a nonnegative linear system. 
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