L∞-Induced Norm of Sampled-Data Systems

@article{Sivashankar1991LInducedNO,
  title={L∞-Induced Norm of Sampled-Data Systems},
  author={N. Sivashankar and Pramod P. Khargonekar},
  journal={1991 American Control Conference},
  year={1991},
  pages={167-172}
}
In this paper, we consider a general linear interconnection of a continuous-time plant and a discrete-time controller via sample and hold devices. Under the assumption of internal stability, bounded inputs produce bounded outputs. Some results on the induced operator norm of the closed loop system with L∞(i.e., peak value) norm on the input and output signals are presented.