Efficient and accurate estimation of lipschitz constants for deep neural networks

M Fazlyab, A Robey, H Hassani… - Advances in neural …, 2019 - proceedings.neurips.cc
Tight estimation of the Lipschitz constant for deep neural networks (DNNs) is useful in many
applications ranging from robustness certification of classifiers to stability analysis of closed …

A nonlinear observer-based approach to fault detection, isolation and estimation for satellite formation flight application

F Nemati, SMS Hamami, A Zemouche - Automatica, 2019 - Elsevier
In this paper, the problem of fault diagnosis for a satellite formation flight is considered. A
scheme is investigated for fault detection, isolation, and estimation of a class of nonlinear …

High-gain observers in feedback control: Application to permanent magnet synchronous motors

HK Khalil - IEEE Control Systems Magazine, 2017 - ieeexplore.ieee.org
High-gain observers play an important role in the design of feedback control for nonlinear
systems. This article overviews the essentials of this technique, starting with motivating …

From dissipativity theory to compositional synthesis of large-scale stochastic switched systems

A Lavaei, M Zamani - IEEE Transactions on Automatic Control, 2022 - ieeexplore.ieee.org
This work is concerned with a compositional technique for the construction of finite
abstractions (aka, finite Markov decision processes (MDPs)) for networks of discrete-time …

Observer-based synchronization of chaotic systems satisfying incremental quadratic constraints and its application in secure communication

Y Zhao, W Zhang, H Su, J Yang - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper presents a secure chaotic communication scheme using observer-based
synchronization of chaotic systems. A class of chaotic systems satisfying incremental …

State and unknown input observers for nonlinear systems with bounded exogenous inputs

A Chakrabarty, MJ Corless, GT Buzzard… - … on Automatic Control, 2017 - ieeexplore.ieee.org
A systematic design methodology for state observers for a large class of nonlinear systems
with bounded exogenous inputs (disturbance inputs and sensor noise) is proposed. The …

Circle criterion-based ℋ∞ observer design for Lipschitz and monotonic nonlinear systems–Enhanced LMI conditions and constructive discussions

A Zemouche, R Rajamani, G Phanomchoeng… - Automatica, 2017 - Elsevier
A new LMI design technique is developed to address the problem of circle criterion-based
ℋ∞ observer design for nonlinear systems. The developed technique applies to both locally …

High-gain nonlinear observer with lower tuning parameter

A Zemouche, F Zhang, F Mazenc… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper develops a new high-gain observer design method for nonlinear systems that
has a lower gain compared to the standard high-gain observer. This new observer, called …

Observer design for stochastic nonlinear systems via contraction-based incremental stability

AP Dani, SJ Chung… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
This paper presents a new design approach to nonlinear observers for Itô stochastic
nonlinear systems with guaranteed stability. A stochastic contraction lemma is presented …

Tracking of vehicle motion on highways and urban roads using a nonlinear observer

W Jeon, A Zemouche… - IEEE/ASME transactions on …, 2019 - ieeexplore.ieee.org
This paper focuses on the development and use of a nonlinear observer for tracking of
vehicle motion trajectories while using a radar sensor. Previous results on vehicle tracking …