Frequency-domain stability conditions for asynchronously sampled decentralized LTI systems

This paper deals with the exponential stability analysis of decentralized, sampled-data, Linear Time Invariant (LTI) control systems asynchronous sensors and actuators. We consider case where each controller in decentralized setting has its own sampling actuation frequency, which translates to asynchrony between Additionally, may be induced by delays instants update as relevant a networked context. The LTI system is represented feedback interconnection continuous-time operator an that captures effects delay. By characterizing properties operators using small-gain type Integral Quadratic Constraints (IQC), we provide criteria for asynchronous, state-space models. approach provided this considers two scenarios, namely ‘large-delay’ ‘small-delay’ are larger smaller than interval, respectively. effectiveness proposed results corroborated numerical example.