activity
20172026
most citedFixed-Time Stable Gradient Flows: Applications to Continuous-Time Optimization

123 citations · 495 across the 29 of their papers we have counts for

collaborators
Showing 2020Show all

5 papers · 1 filter

math.OC2020★ 27 cited

CAPPA: Continuous-time Accelerated Proximal Point Algorithm for Sparse Recovery

Kunal Garg, Mayank Baranwal

This paper develops a novel Continuous-time Accelerated Proximal Point Algorithm (CAPPA) for -minimization problems with provable fixed-time convergence guarantees. The pro…

math.OC2020★ 19 cited

Strong Invariance Using Control Barrier Functions: A Clarke Tangent Cone Approach

James Usevitch, Kunal Garg, Dimitra Panagou

Many control applications require that a system be constrained to a particular set of states, often termed as safe set. A practical and flexible method for rendering safe sets forw…

math.OC2020

Characterization of Domain of Fixed-time Stability under Control Input Constraints

Kunal Garg, Dimitra Panagou

In this paper, we study the effect of control input constraints on the domain of attraction of an FxTS equilibrium point. We first present a new result on FxTS, where we allow a po…

math.OC2020★ 13 cited

A Quadratic Program based Control Synthesis under Spatiotemporal Constraints and Non-vanishing Disturbances

Mitchell Black, Kunal Garg, Dimitra Panagou

In this paper, we study the effect of non-vanishing disturbances on the stability of fixed-time stable (FxTS) systems. We present a new result on FxTS, which allows a positive term…

math.OC2020

Robust Control Barrier and Control Lyapunov Functions with Fixed-Time Convergence Guarantees

Kunal Garg, Dimitra Panagou

This paper studies control synthesis for a general class of nonlinear, control-affine dynamical systems under additive disturbances and state-estimation errors. We enforce forward…