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20152026
most citedHallucination Detection in Foundation Models for Decision-Making: A Flexible Definition and Review of the State of the Art

37 citations · 151 across the 85 of their papers we have counts for

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27 papers · 1 filter

math.OC2026

Control of Markov Jump Linear Systems with Uncertain Lumpable Cluster Observations

Carlos A. F. Persiani, Ram Padmanabhan, Melkior Ornik +1

In this paper, we consider the control of Markov jump linear systems when the active system mode is not exactly known. We rather assume that this true mode is only known to belong…

math.OC2026

Viscosity-Informed Generative Actor-Critic for High-Dimensional Stochastic Optimal Control

Alen E. Golpashin, Gokul Puthumanaillam, Melkior Ornik +1

We introduce a method for approximating viscosity solutions of stationary degenerate elliptic Hamilton--Jacobi--Bellman equations on bounded domains arising in stochastic exit-time…

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.OC2026

The Continuous p-Dispersion Problem in Three Dimensions

Sanjay Manoj, Melkior Ornik

The Continuous p-Dispersion Problem (CpDP) with boundary constraints asks for the placement of a fixed number of points in a compact subset of Euclidean space such that the minimum…

math.OC2025

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.OC2025

Conformal Contraction for Robust Nonlinear Control with Distribution-Free Uncertainty Quantification

Sihang Wei, Melkior Ornik, Hiroyasu Tsukamoto

We present a novel robust control framework for continuous-time, perturbed nonlinear dynamical systems with uncertainty that depends nonlinearly on both the state and control input…

math.OC2025★ 1 cited

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

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.OC2024

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…

math.OC2024

Online Learning and Control Synthesis for Reachable Paths of Unknown Nonlinear Systems

Yiming Meng, Taha Shafa, Jesse Wei +1

In this paper, we present a novel method to drive a nonlinear system to a desired state, with limited a priori knowledge of its dynamic model: local dynamics at a single point and…

math.OC2023

Optimizing a Model-Agnostic Measure of Graph Counterdeceptiveness via Reattachment

Anakin Dey, Sam Ruggerio, Manav Vora +1

Recognition of an adversary's objective is a core problem in physical security and cyber defense. Prior work on target recognition focuses on developing optimal inference strategie…

math.OC2023★ 4 cited

Welfare Maximization Algorithm for Solving Budget-Constrained Multi-Component POMDPs

Manav Vora, Pranay Thangeda, Michael N. Grussing +1

Partially Observable Markov Decision Processes (POMDPs) provide an efficient way to model real-world sequential decision making processes. Motivated by the problem of maintenance a…

math.OC2023

Optimal Routing of Modular Agents on a Graph

Karan Jagdale, Melkior Ornik

Motivated by an emerging framework of Autonomous Modular Vehicles, we consider the abstract problem of optimally routing two modules, i.e., vehicles that can attach to or detach fr…

math.OC2022★ 22 cited

Multi-agent Multi-target Path Planning in Markov Decision Processes

Farhad Nawaz, Melkior Ornik

Missions for autonomous systems often require agents to visit multiple targets in complex operating conditions. This work considers the problem of visiting a set of targets in mini…

math.OC2022

Online Guaranteed Reachable Set Approximation for Systems with Changed Dynamics and Control Authority

Hamza El-Kebir, Ani Pirosmanishvili, Melkior Ornik

This work presents a method of efficiently computing inner and outer approximations of forward reachable sets for nonlinear control systems with changed dynamics and diminished con…

math.OC2021

Reachability of Nonlinear Systems with Unknown Dynamics

Taha Shafa, Melkior Ornik

Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics…

math.OC2021

The Maximax Minimax Quotient Theorem

Jean-Baptiste Bouvier, Melkior Ornik

We present an optimization problem emerging from optimal control theory and situated at the intersection of fractional programming and linear max-min programming on polytopes. A na…

math.OC2021★ 11 cited

Space Exploration Architecture and Design Framework for Commercialization

Hao Chen, Melkior Ornik, Koki Ho

The trend of space commercialization is changing the decision-making process for future space exploration architectures, and there is a growing need for a new decision-making frame…

math.OC2019

Guaranteed Reachability for Systems with Unknown Dynamics

Melkior Ornik

The problem of computing the reachable set for a given system is a quintessential question in nonlinear control theory. While previous work has yielded a plethora of approximate an…

math.OC2019

Incentive Design for Temporal Logic Objectives

Yagiz Savas, Vijay Gupta, Melkior Ornik +2

We study the problem of designing an optimal sequence of incentives that a principal should offer to an agent so that the agent's optimal behavior under the incentives realizes the…

math.OC2019★ 24 cited

Deception in Supervisory Control

Mustafa O. Karabag, Melkior Ornik, Ufuk Topcu

The use of deceptive strategies is important for an agent that attempts not to reveal his intentions in an adversarial environment. We consider a setting in which a supervisor prov…

math.OC2018

Least Inferable Policies for Markov Decision Processes

Mustafa O. Karabag, Melkior Ornik, Ufuk Topcu

In a variety of applications, an agent's success depends on the knowledge that an adversarial observer has or can gather about the agent's decisions. It is therefore desirable for…

math.OC2018

Graph-Based Controller Synthesis for Safety-Constrained, Resilient Systems

Matija Bucic, Melkior Ornik, Ufuk Topcu

Resilience to damage, component degradation, and adversarial action is a critical consideration in design of autonomous systems. In addition to designing strategies that seek to pr…

math.OC2018★ 28 cited

Entropy Maximization for Markov Decision Processes Under Temporal Logic Constraints

Yagiz Savas, Melkior Ornik, Murat Cubuktepe +2

We study the problem of synthesizing a policy that maximizes the entropy of a Markov decision process (MDP) subject to a temporal logic constraint. Such a policy minimizes the pred…