1 citations · 3 across the 11 of their papers we have counts for
11 papers
Reciprocal-Manifold Annealed KKT Flows for Constrained Optimization: Application to the Nonconvex AC Optimal Power Flow
M Parimi, Aditi Ramteke, Rachit Mehra +2
Safety-critical optimization applications, such as real-time power system operation, maintain feasibility at every intermediate step, not merely at convergence. Existing approaches…
Almost Sure Convergence and Non-asymptotic Concentration Bounds for Stochastic Mirror Descent Algorithm
Anik Kumar Paul, Arun D Mahindrakar, Rachel K Kalaimani
This letter investigates the convergence and concentration properties of the Stochastic Mirror Descent (SMD) algorithm utilizing biased stochastic subgradients. We establish the al…
Convergence Analysis of Stochastic Saddle Point Mirror Descent Algorithm -- A Projected Dynamical View Point
Anik Kumar Paul, Arun D Mahindrakar, Rachel K Kalaimani
Saddle point problems, ubiquitous in optimization, extend beyond game theory to diverse domains like power networks and reinforcement learning. This paper presents novel approaches…
Dynamical System Approach for Time-Varying Constrained Convex Optimization Problems
Rejitha Raveendran, Arun D. Mahindrakar, Umesh Vaidya
Optimization problems emerging in most of the real-world applications are dynamic, where either the objective function or the constraints change continuously over time. This paper…
Robust Analysis of Almost Sure Convergence of Zeroth-Order Mirror Descent Algorithm
Anik Kumar Paul, Arun D Mahindrakar, Rachel K Kalaimani
This letter presents an almost sure convergence of the zeroth-order mirror descent algorithm. The algorithm admits non-smooth convex functions and a biased oracle which only provid…
A Unified Framework for Consensus and Synchronization on Lie Groups admitting a Bi-Invariant Metric
Rama Seshan Chandrasekharan, Ravi N Banavar, Arun D Mahindrakar
For a finite number of agents evolving on a Euclidean space and linked to each other by a connected graph, the Laplacian flow that is based on the inter-agent errors, ensures conse…
Geometric PID Controller for Stabilization of Nonholonomic Mechanical Systems on Lie Groups
Rama Seshan, Ravi N Banavar, D. H. S. Maithripala +1
The PID controller is an elegant and versatile controller for set point tracking in double integrator systems of which mechanical systems evolving on Euclidean space constitute a l…
Event-triggered Control for Nonlinear Systems with Center Manifolds
Akshit Saradagi, Vijay Muralidharan, Arun D. Mahindrakar +1
In this work, we consider the problem of event-triggered implementation of control laws designed for the local stabilization of nonlinear systems with center manifolds. We propose…
Position and line-of-sight stabilization of spherical robot using feedforward proportional-derivative geometric controller
Krishna Chaitanya Kosaraju, Arun D. Mahindrakar, Vijay Muralidharan +2
In this paper we present a geometric control law for position and line-of-sight stabilization of the nonholonomic spherical robot actuated by three independent actuators. A simple…
Complex Laplacian based Distributed Control for Multi-Agent Network
Aniket Deshpande, Pushpak Jagtap, Prashant Bansode +2
The work done in this paper, proposes a complex Laplacian-based distributed control scheme for convergence in the multi-agent network. The proposed scheme has been designated as ca…
Synchronization and semistability analysis of the Kuramoto model of coupled nonlinear oscillators
Vishaal Krishnan, Arun D. Mahindrakar, Somashekhar S. Hiremath
An interesting problem in synchronization is the study of coupled oscillators, wherein oscillators with different natural frequencies synchronize to a common frequency and equilibr…