4 papers
Geometry-Driven Islanding Detection and Fault Classification for Grid-Forming Inverters: A Normally Hyperbolic Invariant Manifold Framework with Physics-Derived Thresholds
Shubh Arekar, Aditi Ramteke, Kshitij Gaikwad +4
This paper presents a geometry-driven detection and fault-classification framework for grid-forming (GFM) inverters based on normally hyperbolic invariant manifolds (NAIM) and stoc…
On the Nesterov's acceleration: A NAIM perspective
Rachit Mehra, M Parimi, Amol Yerudkar +2
We present a unifying Nearly Asymptotically Invariant Manifold (NAIM) framework for understanding Nesterovs Accelerated Gradient (NAG) method. By lifting the first-order gradient f…
On the Dynamics of Acceleration in First order Gradient Methods
M Parimi, Rachit Mehra, S. R. Wagh +2
Ever since the original algorithm by Nesterov (1983), the true nature of the acceleration phenomenon has remained elusive, with various interpretations of why the method is actuall…
On the Dynamics of Control
Rachit Mehra, M Parimi, S. R. Wagh +1
We present a dynamical system approach for the control of a nonlinear dynamical system by defining the control problem in a Fiber bundle framework. The constructive procedure deriv…