Some Remarks on the Use of Time-Varying Delay to Model Sample-and-Hold Circuits

By Leonid Mirkin. IEEE Transactions on Automatic Control, 2007

307 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/22733c499e07eded72a9925009d68aad4e0322dc

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Citations in the corpus

Wirtinger-based integral inequality: Application to time-delay systems (2013, methodology): “The perturbation element is then embedded into some normboundeduncertainties and the use of the scaled small gain theorem (Fujioka, 2009; Mirkin, 2007), Integral Quadratic Constraints (IQC) (Kao & Rantzer, 2007), or the quadratic separation approach”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “In practice, condition (109) is readily verifiable via standard LMI for the estimation of the H∞ norm of LTI systems [174,242,96]”
Wirtinger's inequality and Lyapunov-based sampled-data stabilization (2012, methodology): “The input delay approach to sampled-data control has been revised by using the scaled small gain theorem and a tighter upper bound on the L2-induced norm of the uncertain term (Mirkin, 2007).”
A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices (2009, background): “It is worth mentioning that most of existing results verify stability by showing the existence of a continuous-time Lyapunov function either explicitly [4], [5], [7]–[12] or implicitly [13], [14].”
A refined input delay approach to sampled-data control (2010, methodology): “(2008) Fujioka (2009), Mirkin (2007) Proposition 1 Remark 1 Theorem1 h 1.”
An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems (2017, background): “(almost everywhere) is ignored, which definitely leads to conservative results [59].”
Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality (2015, methodology): “This last element is embedded into an uncertainty and the use of classical tools like Small Gain Theorem [16], IQCs [10], [9] or Quadratic Separation [1] allows to conclude on stability.”
Networked control systems: a survey of trends and techniques (2020, background): “, survey papers [29], [30] and references therein.”
A novel stability analysis of linear systems under asynchronous samplings (2012, methodology): “Improvements are provided in [4, 12], using the small gain theorem and in [13] based on the analysis of impulsive systems.”
Survey on Recent Advances in Networked Control Systems (2016, methodology): “When control components are located in the same place, the NCS can be regarded as a digital control system.”