Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays

By Laurentiu Hetel, Jamal Daafouz, Claude Iung. IEEE Transactions on Automatic Control, 2006

332 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/61c6ecb24801193d45a998386b86810c7e66762f

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In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Sliding mode control of switched hybrid systems with time‐varying delay (2008, background): “[14] studied the stabilization problem for arbitrary switched linear systems with unknown time-varying delays and cast the control synthesis problem in the context of unknown time-varying delays into a problem of stabilizability for uncertain systems with polytopic uncertainties.”
Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach (2009, background): “For instance, the effects of quantization are studied in [5]–[9], of packet dropouts in [10]–[12], of time-varying transmission intervals and delays in [13]–[17], and [18]–[24], respectively, and of communication constraints in [25]–[28].”
Combined AFS and DYC Control of Four-Wheel-Independent-Drive Electric Vehicles over CAN Network with Time-Varying Delays (2014, methodology): “TA is a common approach for linearization and was used to describe the nonlinear uncertainties as a polytope of matrices by Hetel [23].”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, positive): “Methods that are independent of the order of the systems have been proposed by combining polytopic embeddings with norm bounded approximations (Donkers, Heemels, Van De Wouw, & Hetel, 2011; Donkers, Hetel, Heemels, van de Wouw, & Steinbuch, 2009; Hetel et al., 2006; Hetel, Daafouz, & Iung, 2008).”
Stability of Networked Control Systems With Uncertain Time-Varying Delays (2009, methodology): “In [8] Taylor series are used, in [9] the maximum singular value of the continuous-time system in combination with the upper- and lowerbounds on the delay, while in [5] the notion of interval matrices is used.”
A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices (2009, background): “Remark 1: There is a number of studies of networked control systems considering the transmission delays, e.g., [16]–[20].”
Controller synthesis for networked control systems (2010, methodology): “Using similar arguments as in Hetel et al. (2006) it can be shown that the intersample behaviour is stable as well and, consequently, that the NCS (3), (6), (7), (13) for all σ ∈ S is globally asymptotically stable.”
A novel stability analysis of linear systems under asynchronous samplings (2012, background): “Several articles drive the problem of time-varying periods based on a discrete-time approach [8,14,18].”
Networked Control Systems With Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance (2010, background): “…the effects of quantization are studied in [3], [12], [20], [22], [28], [36], [45], of packet dropouts in [41], [42], of time-varying transmission intervals and delays in [14], [32], and [10], [16], [24], [27], [35], [55], respectively , and of communication constraints in [2], [11], [26], [40].”