Stability of Delay Impulsive Systems with Application to Networked Control Systems

@article{Naghshtabrizi2007StabilityOD,
  title={Stability of Delay Impulsive Systems with Application to Networked Control Systems},
  author={Payam Naghshtabrizi and J. P. Hespanha and A. R. Teel},
  journal={2007 American Control Conference},
  year={2007},
  pages={4899-4904}
}
We establish asymptotic and exponential stability theorems for delay impulsive systems by employing Lyapunov functionals with discontinuities. Our conditions have the property that when specialized to linear delay impulsive systems, the stability tests can be formulated as linear matrix inequalities (LMIs). Then we consider networked control systems (NCSs) consisting of an LTI process and a static feedback controller connected through a communication network. Due to the shared and unreliable… CONTINUE READING
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