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Learning-Based Robust Fixed-Time Terminal Sliding Mode Control
Chaimae El Mortajinea, Moussa Labbadib, Adnane Saoudc, Mostafa Bouzia
https://arxiv.org/abs/2505.22827

Learning-Based Robust Fixed-Time Terminal Sliding Mode Control
In this paper, we develop and analyze an integral fixed-time sliding mode control method for a scenario in which the system model is only partially known, utilizing Gaussian processes. We present two theorems on fixed-time convergence. The first theorem addresses the fully known system model, while the second considers situations where the system's drift is approximated utilizing Gaussian processes (GP) for approximating unknown dynamics. Both theorems establish the global fixed-time stability …

GPU-Accelerated Simulated Oscillator Ising/Potts Machine Solving Combinatorial Optimization Problems
Yilmaz Ege Gonul, Ceyhun Efe Kayan, Ilknur Mustafazade, Nagarajan Kandasamy, Baris Taskin
https://arxiv.org/abs/2505.22631

GPU-Accelerated Simulated Oscillator Ising/Potts Machine Solving Combinatorial Optimization Problems
Oscillator-based Ising machines (OIMs) and oscillator-based Potts machines (OPMs) have emerged as promising hardware accelerators for solving NP-hard combinatorial optimization problems by leveraging the phase dynamics of coupled oscillators. In this work, a GPU-accelerated simulated OIM/OPM digital computation framework capable of solving combinatorial optimization problems is presented. The proposed implementation harnesses the parallel processing capabilities of GPUs to simulate large-scale …

Markovian dissipation can stabilize a (localization) quantum phase transition
Naushad A. Kamar, Mostafa Ali, Mohammad Maghrebi
https://arxiv.org/abs/2505.22721

Markovian dissipation can stabilize a (localization) quantum phase transition
Quantum phase transitions are a cornerstone of many-body physics at low temperatures but have remained elusive far from equilibrium. Driven open quantum systems -- a prominent non-equilibrium platform where coherent dynamics competes with Markovian dissipation from the environment -- often exhibit an effective classical behavior. In this work, we present a nontrivial quantum phase transition that is stabilized, rather than destroyed, by Markovian dissipation. We consider a variant of the paradi…

On completely monotonic functions
Mostafa Najafi, Ali Morassaei
https://arxiv.org/abs/2505.23767 https://arxiv.org/pdf/2505.23767

On completely monotonic functions
Let $ f:(0,\infty)\rightarrow \Bbb{R} $ be a completely monotonic function. In this paper, we present some properties of this functions and several new classes of completely monotonic functions. We also give some special functions such that its have completely monotonic condition.