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Stability in linear dynamical systems

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A placeholder. The intersection of linear dynamical systems and stability of dynamic systems.

Recommended for connection to trigonometric roots, is [#Megr03].

Refs

Dumitrescu, Bogdan. 2017. Positive Trigonometric Polynomials and Signal Processing Applications. Second edition. Signals and Communication Technology. Cham: Springer. https://doi.org/10.1007/978-3-319-53688-0.

Hardt, Moritz, Tengyu Ma, and Benjamin Recht. 2016. “Gradient Descent Learns Linear Dynamical Systems,” September. http://arxiv.org/abs/1609.05191.

Mattingley, J., and S. Boyd. 2010. “Real-Time Convex Optimization in Signal Processing.” IEEE Signal Processing Magazine 27 (3): 50–61. https://doi.org/10.1109/MSP.2010.936020.

Maxwell, J. Clerk. 1867. “On Governors.” Proceedings of the Royal Society of London 16 (January): 270–83. https://doi.org/10.1098/rspl.1867.0055.

Megretski, A. 2003. “Positivity of Trigonometric Polynomials.” In 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 4:3814–7 vol.4. https://doi.org/10.1109/CDC.2003.1271743.

Oliveira, Maurício C. de, and Robert E. Skelton. 2001. “Stability Tests for Constrained Linear Systems.” In Perspectives in Robust Control, 241–57. Lecture Notes in Control and Information Sciences. Springer, London. https://doi.org/10.1007/BFb0110624.

Seuret, Alexandre, and Frédéric Gouaisbaut. 2013. “Wirtinger-Based Integral Inequality: Application to Time-Delay Systems.” Automatica 49 (9): 2860–6. https://hal.archives-ouvertes.fr/hal-00855159.

Simchowitz, Max, Horia Mania, Stephen Tu, Michael I. Jordan, and Benjamin Recht. 2018. “Learning Without Mixing: Towards A Sharp Analysis of Linear System Identification,” February. http://arxiv.org/abs/1802.08334.