Input-to-state stability of infinite-dimensional systems: recent results and open questions
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 …
state stability (ISS) for infinite-dimensional systems. This property allows for the estimation of …
Input-to-state stability
A Mironchenko - Input-to-State Stability: Theory and Applications, 2023 - Springer
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Menu Find a journal Publish with us Track your research Search Cart Book cover Input-to-State …
Menu Find a journal Publish with us Track your research Search Cart Book cover Input-to-State …
ISS with respect to boundary disturbances for 1-D parabolic PDEs
Due to unbounded input operators in partial differential equations (PDEs) with boundary
inputs, there has been a long-held intuition that input-to-state stability (ISS) properties and …
inputs, there has been a long-held intuition that input-to-state stability (ISS) properties and …
Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations
J Zheng, G Zhu - Automatica, 2018 - Elsevier
This paper studies the input-to-state stability (ISS) properties for a class of semi-linear
parabolic partial differential equations (PDEs) with respect to boundary disturbances. In …
parabolic partial differential equations (PDEs) with respect to boundary disturbances. In …
ISS in different norms for 1-D parabolic PDEs with boundary disturbances
For one-dimensional parabolic partial differential equations with disturbances at both
boundaries and distributed disturbances we provide input-to-state stability (ISS) estimates in …
boundaries and distributed disturbances we provide input-to-state stability (ISS) estimates in …
[HTML][HTML] Kernel well-posedness and computation by power series in backstep** output feedback for radially-dependent reaction–diffusion PDEs on …
Recently, the problem of boundary stabilization and estimation for unstable linear constant-
coefficient reaction–diffusion equation on n-balls (in particular, disks and spheres) has been …
coefficient reaction–diffusion equation on n-balls (in particular, disks and spheres) has been …
Stability analysis for a class of partial differential equations via semidefinite programming
This paper studies scalar integral inequalities in one-dimensional bounded domains with
polynomial integrands. We propose conditions to verify the integral inequalities in terms of …
polynomial integrands. We propose conditions to verify the integral inequalities in terms of …
Advanced H
The E1-disturbance-attenuation approach to robust control has been an active research
area since the 80th of the last century. If confined to linear systems, this approach is fully …
area since the 80th of the last century. If confined to linear systems, this approach is fully …
Enhancing deep reinforcement learning with integral action to control tokamak safety factor
Recent advances in the use of Artificial Intelligence to control complex systems make it
suitable for profile plasma control. In this work, we propose an algorithm based on Deep …
suitable for profile plasma control. In this work, we propose an algorithm based on Deep …
[HTML][HTML] Dissipation inequalities for the analysis of a class of PDEs
In this paper, we develop dissipation inequalities for a class of well-posed systems
described by partial differential equations (PDEs). We study passivity, reachability, induced …
described by partial differential equations (PDEs). We study passivity, reachability, induced …