Robustness of safety for linear dynamical systems: Symbolic and numerical approaches

B Ghosh, PS Duggirala - arxiv preprint arxiv:2109.07632, 2021 - arxiv.org
In this paper, we study the robustness of safety properties of a linear dynamical system with
respect to model uncertainties. Our paper involves three parts. In the first part, we provide …

Safety verification of networked control systems by complex zonotopes

SA Adimoolam, T Dang, A Adimoolam - Leibniz Transactions on …, 2022 - hal.science
Networked control systems (NCS) are widely used in real world applications because of
their advantages, such as remote operability and reduced installation costs. However, they …

Reachability of linear uncertain systems: Sampling based approaches

B Ghosh, PS Duggirala - arxiv preprint arxiv:2109.07638, 2021 - arxiv.org
In this work, we perform safety analysis of linear dynamical systems with uncertainties.
Instead of computing a conservative overapproximation of the reachable set, our approach …

Design and Verification of Autonomous Systems in the Presence of Uncertainties

B Ghosh - 2023 - search.proquest.com
Autonomous Systems offer hope towards moving away from mechanized, unsafe, manual,
often inefficient practices. The last decade has seen several small, but important, steps …

Augmented complex zonotopes for computing invariants of affine hybrid systems

A Adimoolam, T Dang - Formal Modeling and Analysis of Timed Systems …, 2017 - Springer
Zonotopes are a useful set representation for bounded time reach set computation of affine
hybrid systems because of their closure under Minkowski sum and matrix multiplication …

A calculus of complex zonotopes for invariance and stability verification of hybrid systems

SA Adimoolam - 2018 - theses.hal.science
Computing reachable sets is a de facto approach used in many formal verification methods
for hybrid systems. But exact computation of the reachable set is an in-tractable problem for …

[PDF][PDF] A Review on Benchmark Examples for Dynamical Hybrid Systems Controller Synthesis to Facilitate Its Selection Process

A Safi, A Taghavian, E Khanmirza - 2023 - journal.isrc.ac.ir
Due to various and complex phenomena in hybrid dynamical systems, the control of these
types of systems has faced a challenge. Space systems also have hybrid dynamics due to …

[PDF][PDF] A Calculus of Complex Zonotopes for Invariance and Stability Verification of Hybrid Systems

S Putot, M Viswanathan, L Fribourg, L Jaulin, T Dang - researchgate.net
Computing reachable sets is a de facto approach used in many formal verification methods
for hybrid systems. But exact computation of the reachable set is an intractable problem for …

مروری بر مثال‌های ‌معیار در زمینه کنترل‌کننده سیستم‌های هیبرید دینامیکی به منظور تسهیل فرایند انتخاب آن‌ها

صافی, تقویان, خانمیرزا - علوم، فناوری و کاربردهای فضایی, 2023‎ - journal.isrc.ac.ir
به دلیل وجود پدیده‌های مختلف و پیچیده در سیستم‌های دینامیکی هیبرید، امر کنترل این نوع از
سیستم‌ها با چالش مواجه شده است. سیستم‌های فضایی نیز به دلیل ماموریت‌ها و حالت‌های عملیاتی …