Comparison of Riemann and Lebesgue sampling for first order stochastic systems

By K. Åström, B. Bernhardsson. Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2002

1,065 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Biomedical Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/41c53f39d7b0b2f86f202b5196abe151455929e2

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Citations in the corpus

Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Strategy (2016, positive): “It follows from [20] and [22] that event-triggered sampling has some advantages over periodic sampling in a stochastic setting.”
Event-triggered communication and control of networked systems for multi-agent consensus (2017, background): “The work Åström and Bernhardsson (2002) concluded that ‘‘There are an increasing number of applications where the assumption of constant sampling rate is no longer valid, typical examples are multi-rate sampling and networked systems.”
Output-Based Event-Triggered Control With Guaranteed ${\cal L}_{\infty}$-Gain and Improved and Decentralized Event-Triggering (2012, background): “For instance, in [12] and [13], an impulsive control action is applied to the system that resets the state to the origin every time the state of the plant exceeds a certain threshold.”
Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability (2009, background): “The idea of event-triggered feedback has appeared under a variety of names, such as interrupt-based feedback [19], Lebesgue sampling [20], or state-triggered feedback [11].”
Event-triggered control for discrete-time systems (2010, background): “A comparison of time-driven and event-driven control for stochastic systems favoring the latter can be found in [2].”
Decentralized Event-Triggered Control Over Wireless Sensor/Actuator Networks (2010, background): “A shift in perspective was brought by the notion of event-triggered control [10], [11].”
Control: A perspective (2014, background): “An alternative is to sample it on an event-driven basis; which is reminiscent of the manner in which the Lebesgue integral is defined [33].”
A Framework for the Event-Triggered Stabilization of Nonlinear Systems (2015, neutral): “, [1]–[3], [11], [28], [34].”
To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems (2008, background): “To overcome the drawbacks of the periodic paradigm, several researchers ([1], [3], [16], [26], [30]) suggested the idea of event-triggered control.”
Event based agreement protocols for multi-agent networks (2013, background): “Since the pioneering paper (Åström & Bernhardsson, 2002), event based control has been studied extensively in networked control systems (Wang & Hovakimyan, 2012), decentralized systems (Mazo & Tabuada, 2011; Wang & Lemmon, 2011), and in many cases it outperforms the traditional time triggered…”
Cyber–Physical Systems: A Perspective at the Centennial (2012, methodology): “These have been called Riemann and Lebesgue sampling [41].”
A Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems (2015, methodology): “Specifically, in [2], [6], impulsive control methods are developed to keep the states of first-order stochastic systems inside certain thresholds.”
Analysis of event-driven controllers for linear systems (2008, methodology): “Besides the mathematical analysis in Åström and Bernhardsson (2002) and Johannesson et al. (2007) for first order stochastic systems, the current paper is one of the first that provides a theoretical study of the performance of eventdriven controllers (for higher-order systems).”
Distributed Event-Triggered Control for Multi-Agent Systems (2012, background): “A comparison of time- and event-driven control for stochastic systems favoring the latter is found in [3].”
Stochastic Event-Triggered Sensor Schedule for Remote State Estimation (2013, positive): “The pioneering work of Astrom and Bernhardsson [12] showed that Lebesgue sampling can give better performance for some systems.”