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20242026
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math.OC2026

Successive Convexification for Trajectory Optimization with Continuous-time Satisfaction of Signal Temporal Logic Specifications

Samet Uzun, Behçet Açıkmeşe

This paper presents a successive convexification framework for trajectory optimization under continuous-time Signal Temporal Logic (CT-STL) specifications. The framework employs ge…

math.OC2026

Smooth and Exact Parameterization of Continuous-time Signal Temporal Logic Specifications for Trajectory Optimization

Samet Uzun, Behçet Açıkmeşe

This paper presents a smooth parameterization of continuous-time Signal Temporal Logic (CT-STL) specifications for nonconvex trajectory optimization that is sound and complete up t…

math.OC2025

A Proximal Method for Composite Optimization with Smooth and Convex Components

Samet Uzun, Dayou Luo, Behçet Açıkmeşe +1

We introduce prox-convex for minimizing , where and are convex, and are smooth, and each component of is convex (possibly nonsmooth).…

math.OC2024

Optimization with Temporal and Logical Specifications via Generalized Mean-based Smooth Robustness Measures

Samet Uzun, Purnanand Elango, Pierre-Loic Garoche +1

This paper introduces a generalized mean-based C^1-smooth robustness measure over discrete-time signals (D-GMSR) for signal temporal logic (STL) specifications. In conjunction with…

math.OC2024

Successive Convexification for Nonlinear Model Predictive Control with Continuous-Time Constraint Satisfaction

Samet Uzun, Purnanand Elango, Abhinav G. Kamath +2

We propose a nonlinear model predictive control (NMPC) framework based on a direct optimal control method that ensures continuous-time constraint satisfaction and accurate evaluati…

math.OC2024

Decentralized State-Dependent Markov Chain Synthesis with an Application to Swarm Guidance

Samet Uzun, Nazim Kemal Ure, Behcet Acikmese

This paper introduces a decentralized state-dependent Markov chain synthesis (DSMC) algorithm for finite-state Markov chains. We present a state-dependent consensus protocol that a…