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math.OC2026

Ignore Drift, Embrace Simplicity: Constrained Nonlinear Control through Driftless Approximation

Ram Padmanabhan, Melkior Ornik

We present a novel technique to drive a nonlinear system to reach a target state under input constraints. The proposed controller consists only of piecewise constant inputs, genera…

math.OC2026

Finite-time Reachability for Constrained, Partially Uncontrolled Nonlinear Systems

Ram Padmanabhan, Melkior Ornik

This paper presents a technique to drive the state of a constrained nonlinear system to a specified target state in finite time, when the system suffers a partial loss in control a…

math.OC2025

Approximate Energetic Resilience of Nonlinear Systems under Partial Loss of Control Authority

Ram Padmanabhan, Melkior Ornik

In this paper, we quantify the resilience of nonlinear dynamical systems by studying the increased energy used by all inputs of a system that suffers a partial loss of control auth…

math.OC2025

Mode-Prefix-Based Control of Switched Linear Systems with Applications to Fault Tolerance

Ram Padmanabhan, Antoine Aspeel, Necmiye Ozay +1

In this paper, we consider the problem of designing prefix-based optimal controllers for switched linear systems over finite horizons. This problem arises in fault-tolerant control…

math.OC2025

Energetic Resilience of Linear Driftless Systems

Ram Padmanabhan, Melkior Ornik

When a malfunction causes a control system to lose authority over a subset of its actuators, achieving a task may require spending additional energy in order to compensate for the…