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The paper presents a novel method for designing an optimal controller for discrete-time switched linear systems. The problem is formulated as one of computing the discrete mode sequence and the continuous input sequence that jointly…

Systems and Control · Computer Science 2017-04-25 Jérémie Kreiss , Laurent Bako , Eric Blanco

In this work, we derive conditions under which abstractions of networks of stochastic hybrid systems can be constructed compositionally. Proposed conditions leverage the interconnection topology, switching randomly between P different…

Systems and Control · Computer Science 2018-06-14 Asad Ullah Awan , Majid Zamani

Recently, there has been an increasing interest in the formal analysis and design of control systems. In this area, in order to reduce the complexity and scale of control systems, finite abstractions of control systems are introduced and…

Optimization and Control · Mathematics 2013-01-01 Jinjin Zhang , Zhaohui Zhu , Jianfei Yang

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

Logic in Computer Science · Computer Science 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

This paper presents a methodology for temporal logic verification of discrete-time stochastic systems. Our goal is to find a lower bound on the probability that a complex temporal property is satisfied by finite traces of the system.…

Systems and Control · Computer Science 2019-11-22 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

Control laws for continuous-time dynamical systems are most often implemented via digital controllers using a sample-and-hold technique. Numerical discretization of the continuous system is an integral part of subsequent analysis. Feedback…

Systems and Control · Electrical Eng. & Systems 2023-09-28 Ashutosh Jindal , Ravi Banavar , David Martin Diego

This paper considers receding horizon control of finite deterministic systems, which must satisfy a high level, rich specification expressed as a linear temporal logic formula. Under the assumption that time-varying rewards are associated…

Optimization and Control · Mathematics 2012-03-14 Xuchu Ding , Mircea Lazar , Calin Belta

This work discusses a two-step procedure, based on formal abstractions, to generate a finite-space stochastic dynamical model as an aggregation of the continuous temperature dynamics of a homogeneous population of Thermostatically…

Systems and Control · Computer Science 2013-07-31 Sadegh Esmaeil Zadeh Soudjani , Alessandro Abate

Temporal abstraction refers to the ability of an agent to use behaviours of controllers which act for a limited, variable amount of time. The options framework describes such behaviours as consisting of a subset of states in which they can…

Machine Learning · Computer Science 2020-01-03 Khimya Khetarpal , Martin Klissarov , Maxime Chevalier-Boisvert , Pierre-Luc Bacon , Doina Precup

This paper proposes a finitely terminating algorithm to solve reach-and-stay control problems for nonlinear systems. The algorithm is guaranteed to return a control strategy if the specification is robustly realizable. Such a feature is…

Optimization and Control · Mathematics 2020-04-17 Yinan Li , Jun Liu

This paper introduces the concept of abstracted model reduction: a framework to improve the tractability of structure-preserving methods for the complexity reduction of interconnected system models. To effectively reduce high-order,…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Luuk Poort , Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

Control systems that satisfy temporal logic specifications have become increasingly popular due to their applicability to robotic systems. Existing control methods, however, are computationally demanding, especially when the problem size…

Systems and Control · Computer Science 2019-01-16 Lars Lindemann , Dimos V. Dimarogonas

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

Optimization and Control · Mathematics 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

This work focuses on the invariance of important properties between continuous and discrete models of systems which can be useful in the control design of large-scale systems and their software implementations. In particular, this paper…

Systems and Control · Computer Science 2017-11-22 Etika Agarwal , Shravan Sajja , Panos J. Antsaklis , Vijay Gupta

A key challenge in abstraction-based verification and control under complex specifications such as Linear Temporal Logic (LTL) is that abstract models retain significantly less information than their original systems. This issue is…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Sasinee Pruekprasert , Clovis Eberhart

Temporal abstraction is key to scaling up learning and planning in reinforcement learning. While planning with temporally extended actions is well understood, creating such abstractions autonomously from data has remained challenging. We…

Artificial Intelligence · Computer Science 2016-12-06 Pierre-Luc Bacon , Jean Harb , Doina Precup

We present two frameworks for structure-preserving model order reduction of interconnected subsystems, improving tractability of the reduction methods while ensuring stability and accuracy bounds of the reduced interconnected model. Instead…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Luuk Poort , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

We design receding horizon control strategies for stochastic discrete-time linear systems with additive (possibly) unbounded disturbances, while obeying hard bounds on the control inputs. We pose the problem of selecting an appropriate…

Optimization and Control · Mathematics 2011-07-07 Debasish Chatterjee , Peter Hokayem , John Lygeros

This paper proposes a transition system abstraction framework for neural network dynamical system models to enhance the model interpretability, with applications to complex dynamical systems such as human behavior learning and verification.…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Yejiang Yang , Zihao Mo , Hoang-Dung Tran , Weiming Xiang

Simulation-based compositional abstraction effectively mitigates state space explosion in model checking, particularly for timed systems. However, existing approaches do not support broadcast synchronization, an important mechanism for…

Formal Languages and Automata Theory · Computer Science 2025-05-20 Hanyue Chen , Miaomiao Zhang , Frits Vaandrager