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By transforming identification and control for nonlinear system into optimization problems, a novel optimization method named state transition algorithm (STA) is introduced to solve the problems. In the proposed STA, a solution to a…

Optimization and Control · Mathematics 2015-11-18 Xiaojun Zhou , Chunhua Yang , Weihua Gui

This paper presents the syntax and semantics of a novel type of hybrid automaton (HA) with partial differential equation (PDE) dynamic, partial differential hybrid automata (PDHA). In PDHA, we add a spatial domain $X$ and harness a…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Tianshu Bao , Hengrong Du , Weiming Xiang , Taylor T. Johnson

In this paper we describe a new tool, SReach, which solves probabilistic bounded reachability problems for two classes of stochastic hybrid systems. The first one is (nonlinear) hybrid automata with parametric uncertainty. The second one is…

Formal Languages and Automata Theory · Computer Science 2014-10-28 Qinsi Wang , Paolo Zuliani , Soonho Kong , Sicun Gao , Edmund M. Clarke

Driven by ambitious renewable portfolio standards, large-scale inclusion of variable energy resources (such as wind and solar) are expected to introduce unprecedented levels of uncertainty into power system operations. The current practice…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Semih Atakan , Harsha Gangammanavar , Suvrajeet Sen

We introduce a new approach to develop stochastic optimization algorithms for a class of stochastic composite and possibly nonconvex optimization problems. The main idea is to combine two stochastic estimators to create a new hybrid one. We…

Optimization and Control · Mathematics 2020-05-05 Quoc Tran-Dinh , Nhan H. Pham , Dzung T. Phan , Lam M. Nguyen

Gas-fired generators, with their ability to quickly ramp up and down their electricity production, play an important role in managing renewable energy variability. However, these changes in electricity production translate into variability…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Conor O' Malley , Gabriela Hug , Line Roald

Many graph algorithms can be viewed as sets of rules that are iteratively applied, with the number of iterations dependent on the size and complexity of the input graph. Existing machine learning architectures often struggle to represent…

Artificial Intelligence · Computer Science 2024-08-21 Florian Grötschla , Joël Mathys , Christoffer Raun , Roger Wattenhofer

We address the issue of identifying conditions under which the centralized solution to the optimal multi-agent persistent monitoring problem can be recovered in a decentralized event-driven manner. In this problem, multiple agents interact…

Optimization and Control · Mathematics 2017-08-23 Nan Zhou , Christos G. Cassandras , Xi Yu , Sean B. Andersson

A new technique for performance regulation in event-driven systems, recently proposed by the authors, consists of an adaptive-gain integral control. The gain is adjusted in the control loop by a real-time estimation of the derivative of the…

Optimization and Control · Mathematics 2016-04-12 Xinwei Chen , Yorai Wardi , Sudhakar Yalamanchili

We introduce heap automata, a formalism for automatic reasoning about robustness properties of the symbolic heap fragment of separation logic with user-defined inductive predicates. Robustness properties, such as satisfiability,…

Logic in Computer Science · Computer Science 2016-10-25 Christina Jansen , Jens Katelaan , Christoph Matheja , Thomas Noll , Florian Zuleger

Computational Grid is enormous environments with heterogeneous resources and stable infrastructures among other Internet-based computing systems. However, the managing of resources in such systems has its special problems. Scheduler systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-05-07 Asgarali Bouyer , Mohammad Javad hoseyni , Abdul Hanan Abdullah

We present a variety of results analyzing the behavior of a class of stochastic processes --- referred to as Stochastic Hybrid Systems (SHSs) --- in or near equilibrium, and determine general conditions on when the moments of the process…

Dynamical Systems · Mathematics 2014-11-25 Lee DeVille , Sairaj Dhople , Alejandro Dominguez-Garcia , Jiangmeng Zhang

Simulation of stochastic spatially-extended systems is a challenging problem. The fundamental quantities in these models are individual entities such as molecules, cells, or animals, which move and react in a random manner. In big systems,…

Quantitative Methods · Quantitative Biology 2024-09-24 Tomás Alarcón , Natalia Briñas-Pascual , Juan Calvo , Pilar Guerrero , Daria Stepanova

This paper introduces a stochastic hybrid system (SHS) framework in state space model to capture sensor, communication, and system contingencies in modern power systems (MPS). Within this new framework, the paper concentrates on the…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Shuo Yuan , Le Yi Wang , George Yin , Masoud H. Nazari

A decade ago, Abdulla, Ben Henda and Mayr introduced the elegant concept of decisiveness for denumerable Markov chains [1]. Roughly speaking, decisiveness allows one to lift most good properties from finite Markov chains to denumerable…

Logic in Computer Science · Computer Science 2018-04-05 Nathalie Bertrand , Patricia Bouyer , Thomas Brihaye , Pierre Carlier

We propose an automaton model which is a combination of symbolic and register automata, i.e., we enrich symbolic automata with memory. We call such automata Symbolic Register Automata (SRA). SRA extend the expressive power of symbolic…

Formal Languages and Automata Theory · Computer Science 2021-10-11 Elias Alevizos , Alexander Artikis , Georgios Paliouras

The progressive hedging algorithm (PHA) is a cornerstone among algorithms for large-scale stochastic programming problems. However, its traditional implementation is hindered by some limitations, including the requirement to solve all…

Optimization and Control · Mathematics 2025-03-13 Di Zhang , Yihang Zhang , Suvrajeet Sen

The existing literature on stochastic simulation of chemical reaction networks has a tendency to move as quickly as possible to the abstract formulation of the stochastic dynamics in terms of probabilities based on the concept of the…

Statistics Theory · Mathematics 2007-06-13 Sergey Plyasunov

Stochastic frontier models have attracted considerable attention due to the incorporation of an inefficiency term in addition to the conventional error term. In this paper, we propose a general estimation framework for panel stochastic…

Econometrics · Economics 2026-04-22 Kazuki Tomioka , Thomas T. Yang , Xibin Zhang

When optimizing real-time systems, designers often face a challenging problem where the schedulability constraints are non-convex, non-continuous, or lack an analytical form to understand their properties. Although the optimization…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Sen Wang , Dong Li , Shao-Yu Huang , Xuanliang Deng , Ashrarul H. Sifat , Changhee Jung , Ryan Williams , Haibo Zeng