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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].


Dumitrescu, Bogdan. 2017. Positive Trigonometric Polynomials and Signal Processing Applications. Second edition. Signals and Communication Technology. Cham: Springer.

Hardt, Moritz, Tengyu Ma, and Benjamin Recht. 2016. “Gradient Descent Learns Linear Dynamical Systems,” September.

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

Maxwell, J. Clerk. 1867. “On Governors.” Proceedings of the Royal Society of London 16 (January): 270–83.

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.

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.

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

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.