Advancements in Dynamical Systems and Control

The field of dynamical systems and control is moving towards the development of more sophisticated and robust methods for modeling and controlling complex systems. Recent research has focused on improving the accuracy and efficiency of existing methods, such as the use of artificial neural networks for state estimation and the development of novel optimization algorithms for control design. Another significant trend is the increasing use of data-driven approaches, which leverage large datasets to improve the performance of control systems. Furthermore, there is a growing interest in the application of control theory to emerging areas, such as neuromorphic control and human-robot interaction. Notable papers in this area include the proposal of a new approach to controlling linear dynamical systems, which achieves a running time that scales polylogarithmically with the inverse of the stability margin, and the introduction of a data-driven min-max model predictive control scheme for unknown discrete-time bilinear systems. Overall, the field is witnessing significant advancements in terms of methodology, application, and innovation, with a strong potential for impact in various fields, including engineering, robotics, and neuroscience. Noteworthy papers include: A New Approach to Controlling Linear Dynamical Systems, which proposes a novel method for controlling linear dynamical systems under adversarial disturbances and cost functions, and Bilinear Data-Driven Min-Max MPC, which introduces a data-driven min-max model predictive control scheme for unknown discrete-time bilinear systems.

Sources

Mathematical Modeling of Option Pricing with an Extended Black-Scholes Framework

Probabilistic State Estimation of Timed Probabilistic Discrete Event Systems via Artificial Neural Networks [Draft Version]

Agile Temporal Discretization for Symbolic Optimal Control

A New Approach to Controlling Linear Dynamical Systems

Persistently Exciting Data-Driven Model Predictive Control

Nonlinear Robust Optimization for Planning and Control

Discovering dynamical laws for speech gestures

Bilinear Data-Driven Min-Max MPC: Designing Rational Controllers via Sum-of-squares Optimization

The Ces\`aro Value Iteration

Multi-fidelity Reinforcement Learning Control for Complex Dynamical Systems

Probabilistic Process Discovery with Stochastic Process Trees

Mass-Spring Models for Passive Keyword Spotting: A Springtronics Approach

A Douglas-Rachford Splitting Method for Solving Monotone Variational Inequalities in Linear-quadratic Dynamic Games

Rhythmic neuromorphic control of a pendulum: A hybrid systems analysis

Safe Interaction via Monte Carlo Linear-Quadratic Games

Learning-Inspired Fuzzy Logic Algorithms for Enhanced Control of Oscillatory Systems

Solving "pseudo-injective" polynomial equations over finite dynamical systems

Identifying Unknown Stochastic Dynamics via Finite expression methods

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