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20142026
most citedFixed-Time Stable Gradient Flows: Applications to Continuous-Time Optimization

123 citations · 672 across the 112 of their papers we have counts for

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Showing 2020 · math.OCShow all

5 papers · 2 filters

math.OC2020

A Fixed-Time Stable Adaptation Law for Safety-Critical Control under Parametric Uncertainty

Mitchell Black, Ehsan Arabi, Dimitra Panagou

We present a novel technique for solving the problem of safe control for a general class of nonlinear, control-affine systems subject to parametric model uncertainty. Invoking Lyap…

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…