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Stochastic variance reduced optimization methods are known to be globally convergent while they suffer from slow local convergence, especially when moderate or high accuracy is needed. To alleviate this problem, we propose an optimization…

Optimization and Control · Mathematics 2021-11-15 Hamed Sadeghi , Pontus Giselsson

Simultaneous perturbation stochastic approximation (SPSA) is widely used in stochastic optimization due to its high efficiency, asymptotic stability, and reduced number of required loss function measurements. However, the standard SPSA…

Optimization and Control · Mathematics 2023-02-07 Zhichao Jia , Ziyi Wei , James C. Spall

A hybrid dynamical system switches between dynamic regimes at time- or state-triggered events. We propose an offline algorithm that simultaneously estimates discrete and continuous components of a hybrid system's state. We formulate state…

Optimization and Control · Mathematics 2019-05-23 Jize Zhang , Andrew M. Pace , Samuel A. Burden , Aleksandr Aravkin

Generating accurate runtime safety estimates for autonomous systems is vital to ensuring their continued proliferation. However, exhaustive reasoning about future behaviors is generally too complex to do at runtime. To provide scalable and…

Logic in Computer Science · Computer Science 2023-03-30 Matthew Cleaveland , Oleg Sokolsky , Insup Lee , Ivan Ruchkin

In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

Formal Languages and Automata Theory · Computer Science 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

This paper introduces a hierarchical framework that integrates graph search algorithms and model predictive control to facilitate efficient parking maneuvers for Autonomous Vehicles (AVs) in constrained environments. In the high-level…

Robotics · Computer Science 2023-11-15 Xuemin Chi , Zhitao Liu , Jihao Huang , Feng Hong , Hongye Su

Stochastic hybrid systems have received significant attentions as a relevant modelling framework describing many systems, from engineering to the life sciences: they enable the study of numerous applications, including transportation…

Logic in Computer Science · Computer Science 2022-03-11 Abolfazl Lavaei , Sadegh Soudjani , Alessandro Abate , Majid Zamani

The process algebra HYPE was recently proposed as a fine-grained modelling approach for capturing the behaviour of hybrid systems. In the original proposal, each flow or influence affecting a variable is modelled separately and the overall…

Logic in Computer Science · Computer Science 2011-07-08 Luca Bortolussi , Vashti Galpin , Jane Hillston

Online event-based perception techniques on board robots navigating in complex, unstructured, and dynamic environments can suffer unpredictable changes in the incoming event rates and their processing times, which can cause computational…

Robotics · Computer Science 2023-06-06 Raul Tapia , José Ramiro Martínez-de Dios , Augusto Gómez Eguíluz , Anibal Ollero

We develop adaptive data-driven traffic light controllers for a grid-like traffic network considering straight, left-turn, and right-turn traffic flows. The analysis incorporates transit delays and blocking effects on vehicle movements…

Systems and Control · Electrical Eng. & Systems 2024-04-29 Yingqing Chen , Christos G. Cassandras

We consider the optimal multi-agent persistent monitoring problem defined by a team of cooperating agents visiting a set of nodes (targets) on a graph with the objective of minimizing a measure of overall node state uncertainty. The…

Optimization and Control · Mathematics 2018-03-08 Nan Zhou , Christos G. Cassandras , Xi Yu , Sean B. Andersson

In [ABM07], Abdulla et al. introduced the concept of decisiveness, an interesting tool for lifting good properties of finite Markov chains to denumerable ones. Later, this concept was extended to more general stochastic transition systems…

Logic in Computer Science · Computer Science 2022-01-11 Patricia Bouyer , Thomas Brihaye , Mickael Randour , Cédric Rivière , Pierre Vandenhove

Efficiently handling time-triggered and possibly nondeterministic switches for hybrid systems reachability is a challenging task. In this paper we present an approach based on conservative set-based enclosure of the dynamics that can handle…

Systems and Control · Electrical Eng. & Systems 2022-07-07 Marcelo Forets , Daniel Freire , Christian Schilling

Probabilistic and stochastic behavior are omnipresent in computer controlled systems, in particular, so-called safety-critical hybrid systems, because of fundamental properties of nature, uncertain environments, or simplifications to…

Logic in Computer Science · Computer Science 2015-09-08 Yu Peng , Shuling Wang , Naijun Zhan , Lijun Zhang

In [ABM07], Abdulla et al. introduced the concept of decisiveness, an interesting tool for lifting good properties of finite Markov chains to denumerable ones. Later, this concept was extended to more general stochastic transition systems…

Logic in Computer Science · Computer Science 2020-09-24 Patricia Bouyer , Thomas Brihaye , Mickael Randour , Cédric Rivière , Pierre Vandenhove

This paper develops a comprehensive extension of the $\Lambda$-set framework for optimal control, introducing second-order $\Lambda$-sets and generalizing the theory to non-smooth, hybrid, and stochastic hybrid systems. We first establish…

Optimization and Control · Mathematics 2025-12-11 Mohammad H. M Rashid

The state transition algorithm (STA), as an intelligent optimization method grounded in constructivist learning, has been demonstrated to be highly effective in solving complex optimization problems. However, the standard STA suffers from…

Optimization and Control · Mathematics 2026-04-30 Xiaojun Zhou , Chunhua Yang , Weihua Gui , Tingwen Huang

In this paper, we consider partially observable timed automata endowed with a single clock. A time interval is associated with each transition specifying at which clock values it may occur. In addition, a resetting condition associated to a…

Formal Languages and Automata Theory · Computer Science 2024-09-10 Chao Gao , Dimitri Lefebvre , Carla Seatzu , Zhiwu Li , Alessandro Giua

Stochastic dynamical systems have emerged as fundamental models across numerous application domains, providing powerful mathematical representations for capturing uncertain system behavior. In this paper, we address the problem of runtime…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Shenghua Feng , Jie An , Fanjiang Xu

Hybrid Rebeca is a modeling framework for asynchronous event-based cyber-physical systems (CPSs). In this work, we extend Hybrid Rebeca to allow the modeling of non-deterministic time behavior. Besides the syntactical extension, we…

Formal Languages and Automata Theory · Computer Science 2025-03-11 Fatemeh Ghassemi , Saeed Zhiany , Nesa Abbasimoghadam , Ali Hodaei , Ali Ataollahi , József Kovács , Erika Ábrahám , Marjan Sirjani