no code implementations • 3 Jan 2024 • Siyuan Liu, Xiang Yin, Dimos V. Dimarogonas, Majid Zamani
Based on this new system relation, we show that one can verify opacity for stochastic control systems using their abstractions (modeled as finite gMDPs).
no code implementations • 5 Jul 2023 • Bingzhuo Zhong, Siyuan Liu, Marco Caccamo, Majid Zamani
These controllers are synthesized based on a concept of so-called (augmented) control barrier functions, which we introduce and discuss in detail.
no code implementations • 27 May 2023 • Vishnu Murali, Ashutosh Trivedi, Majid Zamani
A barrier certificate, defined over the states of a dynamical system, is a real-valued function whose zero level set characterizes an inductively verifiable state invariant separating reachable states from unsafe ones.
Logic in Computer Science Systems and Control Systems and Control
no code implementations • 8 Nov 2022 • Junyao Hou, Siyuan Liu, Xiang Yin, Majid Zamani
In this paper, we first introduce a concept of approximate pre-opacity by capturing the security level of control systems with respect to the measurement precision of the intruder.
no code implementations • 6 Aug 2022 • Abolfazl Lavaei, Mateo Perez, Milad Kazemi, Fabio Somenzi, Sadegh Soudjani, Ashutosh Trivedi, Majid Zamani
A key contribution is to leverage the convergence results for adversarial RL (minimax Q-learning) on finite stochastic arenas to provide control strategies maximizing the probability of satisfaction over the network of continuous-space systems.
no code implementations • 29 Jun 2022 • Abolfazl Lavaei, Sadegh Soudjani, Emilio Frazzoli, Majid Zamani
We then propose a scenario convex program (SCP) associated to the original RCP by collecting a finite number of data from trajectories of the system.
no code implementations • 28 Apr 2022 • Majid Zamani, Christian Okreghe, Andreas Demosthenous
The use of the Taylor polynomial is proposed and modelled employing its cascaded derivatives to non-uniformly capture the essential samples in each spike for reliable feature extraction and sorting.
no code implementations • 28 Mar 2022 • Bingzhuo Zhong, Hongpeng Cao, Majid Zamani, Marco Caccamo
In this paper, we propose a construction scheme for a Safe-visor architecture for sandboxing unverified controllers, e. g., artificial intelligence-based (a. k. a.
no code implementations • 18 Mar 2022 • Siyuan Liu, Adnane Saoud, Pushpak Jagtap, Dimos V. Dimarogonas, Majid Zamani
In this paper, we focus on the problem of compositional synthesis of controllers enforcing signal temporal logic (STL) tasks over a class of continuous-time nonlinear interconnected systems.
no code implementations • 23 Dec 2021 • Ali Salamati, Abolfazl Lavaei, Sadegh Soudjani, Majid Zamani
In this paper, we propose a data-driven approach to formally verify the safety of (potentially) unknown discrete-time continuous-space stochastic systems.
no code implementations • 19 Nov 2021 • Ali Salamati, Abolfazl Lavaei, Sadegh Soudjani, Majid Zamani
In this work, we study verification and synthesis problems for safety specifications over unknown discrete-time stochastic systems.
no code implementations • 16 Nov 2021 • Bingzhuo Zhong, Majid Zamani, Marco Caccamo
Then, we compute the maximal HCI set over the state set of the product system by leveraging a set-based approach.
no code implementations • 28 Sep 2021 • Abdalla Swikir, Majid Zamani
Particularly, we use a notion of so-called alternating simulation function as a relation between each switched subsystem and its finite abstraction.
no code implementations • 24 Sep 2021 • Siyuan Liu, Abdalla Swikir, Majid Zamani
In this work, we propose a compositional framework for the verification of approximate initial-state opacity for networks of discrete-time switched systems.
no code implementations • 23 Sep 2021 • Bingzhuo Zhong, Majid Zamani, Marco Caccamo
However, current available solutions for sandboxing controllers are just applicable to deterministic (a. k. a.
no code implementations • 23 Sep 2021 • Niloofar Jahanshahi, Pushpak Jagtap, Majid Zamani
In this paper, we study formal synthesis of control policies for partially observed jump-diffusion systems against complex logic specifications.
no code implementations • 12 May 2021 • Mahathi Anand, Vishnu Murali, Ashutosh Trivedi, Majid Zamani
These verification conditions are then discharged by synthesizing so-called augmented barrier certificates, which provide certain safety guarantees for the underlying system.
no code implementations • 23 Apr 2021 • Bingzhuo Zhong, Abolfazl Lavaei, Majid Zamani, Marco Caccamo
In this work, we propose an abstraction and refinement methodology for the controller synthesis of discrete-time stochastic systems to enforce complex logical properties expressed by deterministic finite automata (a. k. a.
no code implementations • 12 Mar 2021 • Christoph Kawan, Andrii Mironchenko, Majid Zamani
In this paper, we show that an infinite network of input-to-state stable (ISS) subsystems, admitting ISS Lyapunov functions, itself admits an ISS Lyapunov function, provided that the couplings between the subsystems are sufficiently weak.
Optimization and Control 37B25, 37L15, 93D05, 93A15
no code implementations • 11 Mar 2021 • Andrii Mironchenko, Navid Noroozi, Christoph Kawan, Majid Zamani
This paper provides a Lyapunov-based small-gain theorem for input-to-state stability (ISS) of networks composed of infinitely many finite-dimensional systems.
Optimization and Control Dynamical Systems
no code implementations • 3 Mar 2021 • Mahathi Anand, Abolfazl Lavaei, Majid Zamani
This paper is concerned with a compositional scheme for the construction of control barrier certificates for interconnected discrete-time stochastic systems.
no code implementations • 10 Feb 2021 • Bingzhuo Zhong, Abolfazl Lavaei, Hongpeng Cao, Majid Zamani, Marco Caccamo
To cope with this difficulty, we propose in this work a Safe-visor architecture for sandboxing unverified controllers in CPSs operating in noisy environments (a. k. a.
no code implementations • 5 Feb 2021 • Siyuan Liu, Navid Noroozi, Majid Zamani
The proposed approach is based on the notion of alternating simulation functions.
no code implementations • 18 Jan 2021 • Mahathi Anand, Abolfazl Lavaei, Majid Zamani
This paper is concerned with a compositional approach for the construction of control barrier certificates for large-scale interconnected stochastic systems while synthesizing hybrid controllers against high-level logic properties.
no code implementations • 14 Dec 2020 • Ameneh Nejati, Sadegh Soudjani, Majid Zamani
In this work, we propose a compositional framework for the construction of control barrier functions for networks of continuous-time stochastic hybrid systems enforcing complex logic specifications expressed by finite-state automata.
no code implementations • 30 Nov 2020 • Mahmoud Khaled, Kuize Zhang, Majid Zamani
Symbolic control is an abstraction-based controller synthesis approach that provides, algorithmically, certifiable-by-construction controllers for cyber-physical systems.
no code implementations • 12 Oct 2020 • Pushpak Jagtap, George J. Pappas, Majid Zamani
This paper focuses on the controller synthesis for unknown, nonlinear systems while ensuring safety constraints.
no code implementations • 8 May 2020 • Ali Salamati, Sadegh Soudjani, Majid Zamani
Since the dynamics are parameterized and partially unknown, we collect data from the system and employ Bayesian inference techniques to associate a confidence value to the satisfaction of the property.
no code implementations • 2 Mar 2020 • Abolfazl Lavaei, Fabio Somenzi, Sadegh Soudjani, Ashutosh Trivedi, Majid Zamani
A key contribution of the paper is to leverage the classical convergence results for reinforcement learning on finite MDPs and provide control strategies maximizing the probability of satisfaction over unknown, continuous-space MDPs while providing probabilistic closeness guarantees.
no code implementations • 12 Feb 2020 • Pranav Ashok, Mathias Jackermeier, Pushpak Jagtap, Jan Křetínský, Maximilian Weininger, Majid Zamani
In particular the latter turns out to be extremely efficient, yielding decision trees with a single-digit number of decision nodes on 5 of the case studies.