Search Results for author: Majid Zamani

Found 30 papers, 0 papers with code

On Approximate Opacity of Stochastic Control Systems

no code implementations3 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).

Relation

Secure-by-Construction Synthesis for Control Systems

no code implementations5 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.

Closure Certificates

no code implementations27 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

Abstraction-Based Verification of Approximate Pre-Opacity for Control Systems

no code implementations8 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.

Compositional Reinforcement Learning for Discrete-Time Stochastic Control Systems

no code implementations6 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.

Q-Learning reinforcement-learning +1

Constructing MDP Abstractions Using Data with Formal Guarantees

no code implementations29 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.

Efficient Approximation of Action Potentials with High-Order Shape Preservation in Unsupervised Spike Sorting

no code implementations28 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.

Spike Sorting

Sandboxing (AI-based) Unverified Controllers in Stochastic Games: An Abstraction-based Approach with Safe-visor Architecture

no code implementations28 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.

Compositional Synthesis of Signal Temporal Logic Tasks via Assume-Guarantee Contracts

no code implementations18 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.

Data-driven Safety Verification of Stochastic Systems via Barrier Certificates

no code implementations23 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.

Data-driven verification and synthesis of stochastic systems via barrier certificates

no code implementations19 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.

Formal Synthesis of Controllers for Uncertain Linear Systems against $ω$-Regular Properties: A Set-based Approach

no code implementations16 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.

Compositional Abstractions of Interconnected Discrete-Time Switched Systems

no code implementations28 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.

Relation

Compositional Verification of Initial-State Opacity for Switched Systems

no code implementations24 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.

Sandboxing Controllers for Stochastic Cyber-Physical Systems

no code implementations23 Sep 2021 Bingzhuo Zhong, Majid Zamani, Marco Caccamo

However, current available solutions for sandboxing controllers are just applicable to deterministic (a. k. a.

Synthesis of Partially Observed Jump-Diffusion Systems via Control Barrier Functions

no code implementations23 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.

Verification of Hyperproperties for Uncertain Dynamical Systems via Barrier Certificates

no code implementations12 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.

Automata-based Controller Synthesis for Stochastic Systems: A Game Framework via Approximate Probabilistic Relations

no code implementations23 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.

A Lyapunov-based ISS small-gain theorem for infinite networks of nonlinear systems

no code implementations12 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

ISS small-gain criteria for infinite networks with linear gain functions

no code implementations11 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

Compositional Synthesis of Control Barrier Certificates for Networks of Stochastic Systems against $ω$-Regular Specifications

no code implementations3 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.

Safe-visor Architecture for Sandboxing (AI-based) Unverified Controllers in Stochastic Cyber-Physical Systems

no code implementations10 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.

From Small-Gain Theory to Compositional Construction of Barrier Certificates for Large-Scale Stochastic Systems

no code implementations18 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.

Compositional Construction of Control Barrier Functions for Continuous-Time Stochastic Hybrid Systems

no code implementations14 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.

A Framework for Output-Feedback Symbolic Control

no code implementations30 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.

Control Barrier Functions for Unknown Nonlinear Systems using Gaussian Processes

no code implementations12 Oct 2020 Pushpak Jagtap, George J. Pappas, Majid Zamani

This paper focuses on the controller synthesis for unknown, nonlinear systems while ensuring safety constraints.

Gaussian Processes

Data-Driven Verification under Signal Temporal Logic Constraints

no code implementations8 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.

Bayesian Inference

Formal Controller Synthesis for Continuous-Space MDPs via Model-Free Reinforcement Learning

no code implementations2 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.

reinforcement-learning Reinforcement Learning (RL)

dtControl: Decision Tree Learning Algorithms for Controller Representation

no code implementations12 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.

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