PID Controllers for Time Delay Systems

By G. J. Silva, A. Datta, Shankar P. Bhattacharyya, J. Hahn. 2004

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Smith Predictor Based Fractional‐Order‐Filter PID Controllers Design for Long Time Delay Systems (2017, methodology): “To establish the proof, Walton Marshall’s method [27,28] is used.”
Stability and Boundary Stabilization of 1-D Hyperbolic Systems (2016, methodology): “To our knowledge, first results were published by Slemrod (1983) and by Greenberg and Li (1984) for the special case of systems of size n = 2.”
Robust performance characterization of PID controllers in the frequency domain (2009, background): “Bhattacharyya and colleagues did much of early work in this area, where knowledge of a system’s rational transfer function model was assumed [1], [2].”
Stability regions of closed loop system with time delay inertial plant of fractional order and fractional order PI controller (2008, methodology): “These approaches are based on the Pontryagin’s theory [2, 6] and generalization of the Hermite-Biehler Theorem [4, 5].”