Input-to-state stability for PDEs

I Karafyllis, M Krstic - Encyclopedia of Systems and Control, 2021 - Springer
This chapter reviews the challenges for the extension of the Input-to-State Stability (ISS)
property for systems described by Partial Differential Equations (PDEs). The methodologies …

Input-to-state stability of infinite-dimensional systems: recent results and open questions

A Mironchenko, C Prieur - SIAM Review, 2020 - SIAM
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-
state stability (ISS) for infinite-dimensional systems. This property allows for the estimation of …

Cascade extended state observer for active disturbance rejection control applications under measurement noise

K Łakomy, R Madonski - ISA transactions, 2021 - Elsevier
The extended state observer (ESO) plays an important role in the design of feedback control
for nonlinear systems. However, its high-gain nature creates a challenge in engineering …

Characterizations of input-to-state stability for infinite-dimensional systems

A Mironchenko, F Wirth - IEEE Transactions on Automatic …, 2017 - ieeexplore.ieee.org
We prove characterizations of input-to-state stability (ISS) for a large class of infinite-
dimensional control systems, including some classes of evolution equations over Banach …

The ISS framework for time-delay systems: a survey

A Chaillet, I Karafyllis, P Pepe, Y Wang - Mathematics of Control, Signals …, 2023 - Springer
At the occasion of Eduardo D. Sontag's 70th birthday, we provide here an overview of the
tools available to study input-to-state stability (ISS) and related notions for time-delay …

Input-to-state stability

A Mironchenko - Input-to-State Stability: Theory and Applications, 2023 - Springer
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Infinite-dimensional input-to-state stability and Orlicz spaces

B Jacob, R Nabiullin, JR Partington… - SIAM Journal on Control …, 2018 - SIAM
In this work, the relation between input-to-state stability and integral input-to-state stability is
studied for linear infinite-dimensional systems with an unbounded control operator. Although …

[图书][B] Extremum seeking through delays and PDEs

TR Oliveira, M Krstic - 2022 - SIAM
The year in which this book appears is the centennial of the 1922 invention, in the context of
maximizing the power transfer to an electric tram car [130], of the method for real-time …

Monotonicity methods for input-to-state stability of nonlinear parabolic PDEs with boundary disturbances

A Mironchenko, I Karafyllis, M Krstic - SIAM Journal on Control and …, 2019 - SIAM
We introduce a monotonicity-based method for studying input-to-state stability (ISS) of
nonlinear parabolic equations with boundary inputs. We first show that a monotone control …

Stability conditions for infinite networks of nonlinear systems and their application for stabilization

S Dashkovskiy, S Pavlichkov - Automatica, 2020 - Elsevier
We introduce a new concept of ℓ∞-input-to-state stability for infinite networks composed of a
countable set of interconnected nonlinear subsystems of ordinary differential equations. We …