6 papers
Noise Stability and Rotational Equivariance of Image-Induced Hamiltonian Spectra for Robust Unsupervised Segmentation
Soumic Sarkar
Unsupervised segmentation methods that embed an image as the potential of a Schrödinger-type Hamiltonian and read out object structure from its low-lying eigenstates have demonstra…
Exact Contraction Rates via the Berkson--Porta Representation: A Sharp Threshold and Its Herglotz-Kernel Obstruction
Soumic Sarkar
Semigroups of holomorphic self-maps of the unit disc with an interior fixed point are, by the classical Berkson--Porta representation, entirely determined by a single holomorphic f…
Contraction Analysis of Holomorphic Dynamical Systems via the Intrinsic Kobayashi Metric
Soumic Sarkar
This paper studies incremental stability of holomorphic dynamical systems through the infinitesimal Kobayashi metric, an intrinsic pseudometric on complex manifolds invariant under…
Formation Stabilization with Collision Avoidance of Complex Systems
Soumic Sarkar, Indra Narayan Kar
Two different aspects of formation control of multiple agents subjected to linear transformation have been addressed in this paper. We consider a set of complex single integrator s…
Multi Time Scale Behaviour of The Formation of Multiple Groups of Nonholonomic Wheeled Mobile Robots
Soumic Sarkar, Indra Narayan Kar
Different geometric patterns and shapes are generated using groups of agents, and this needs formation control. In this paper, Centroid Based Transformation (CBT), has been applied…
Formation of Multiple Groups of Mobile Robots Using Sliding Mode Control
Soumic Sarkar, Indra Narayan Kar
Formation control of multiple groups of agents finds application in large area navigation by generating different geometric patterns and shapes, and also in carrying large objects.…