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Publications about 'artificial intelligence'
Books and proceedings
  1. E.D. Sontag. Temas de Inteligencia Artificial. PROLAM, Buenos Aires, 1972. [PDF] Keyword(s): artificial intelligence.
    Abstract:
    Textbook on Artificial Intelligence. Scanned 2005. The complete pdf file is 16 Megabytes. (Libro de texto con introduccion a la inteligencia artificial. El pdf file completo tiene 16 Megabytes.)


Conference articles
  1. A.C.B de Olivera, M. Siami, and E.D. Sontag. Remarks on the gradient flow for linear neural network based feedback for the LQR Problem. In Proc. 2024 63rd IEEE Conference on Decision and Control (CDC), 2024. Note: Submitted.Keyword(s): neural networks, overparametrization, gradient descent, input to state stability, gradient systems, feedback control, LQR.
    Abstract:
    Motivated by the current interest in using Artificial intelligence (AI) tools in control design, this paper takes the first steps towards bridging results from gradient methods for solving the LQR control problem, and neural networks. More specifically, it looks into the case where one wants to find a Linear Feed-Forward Neural Network (LFFNN) that minimizes the Linear Quadratic Regulator (LQR) cost. This work develops gradient formulas that can be used to implement the training of LFFNNs to solve the LQR problem, and derives an important conservation law of the system. This conservation law is then leveraged to prove global convergence of solutions and invariance of the set of stabilizing networks under the training dynamics. These theoretical results are then followed by and extensive analysis of the simplest version of the problem (the ``scalar case'') and by numerical evidence of faster convergence of the training of general LFFNNs when compared to traditional direct gradient methods. These results not only serve as indication of the theoretical value of studying such a problem, but also of the practical value of LFFNNs as design tools for data-driven control applications.



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Last modified: Mon Mar 18 14:40:24 2024
Author: sontag.


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