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 …

Input-to-state stability

A Mironchenko - Input-to-State Stability: Theory and Applications, 2023 - Springer
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Multi-objective optimization of building HVAC operation: Advanced strategy using Koopman predictive control and deep learning

M Soleimani, FN Irani, M Yadegar, M Davoodi - Building and Environment, 2024 - Elsevier
Predictive control is an effective method for addressing the increasing demand for heating,
ventilation, and air conditioning (HVAC) systems to operate with greater flexibility and …

Koopman-based deep iISS bilinear parity approach for data-driven fault diagnosis: Experimental demonstration using three-tank system

FN Irani, M Yadegar, N Meskin - Control Engineering Practice, 2024 - Elsevier
Precise and timely fault diagnosis is crucial in many practical systems and control
processes. Particularly due to the increasing amount of available data collected by sensors …

A local input-to-state stability result wrt attractors of nonlinear reaction–diffusion equations

S Dashkovskiy, O Kapustyan, J Schmid - Mathematics of Control, Signals …, 2020 - Springer
A local input-to-state stability result wrt attractors of nonlinear reaction–diffusion equations |
Mathematics of Control, Signals, and Systems Skip to main content Springer Nature Link …

Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances

J Schmid, H Zwart - ESAIM: Control, Optimisation and Calculus of …, 2021 - esaim-cocv.org
In this paper, we are concerned with the stabilization of linear port-Hamiltonian systems of
arbitrary order N∈ ℕ on a bounded 1-dimensional spatial domain (a, b). In order to achieve …

Asymptotic gain results for attractors of semilinear systems

J Schmid, OV Kapustyan, S Dashkovskiy - arxiv preprint arxiv:1909.06302, 2019 - arxiv.org
We establish asymptotic gain along with input-to-state practical stability results for disturbed
semilinear systems wrt the global attractor of the respective undisturbed system. We apply …

Weak input-to-state stability: characterizations and counterexamples

J Schmid - Mathematics of Control, Signals, and Systems, 2019 - Springer
We establish characterizations of weak input-to-state stability for abstract dynamical systems
with inputs, which are similar to characterizations of uniform and of strong input-to-state …

Characterization of integral input-to-state stability for nonlinear time-varying systems of infinite dimension

JL Mancilla-Aguilar, JE Rojas-Ruiz… - SIAM Journal on Control …, 2023 - SIAM
For large classes of infinite-dimensional time-varying control systems, the equivalence
between integral input-to-state stability (iISS) and the combination of global uniform …

Improving the Convergence Rates for the Kinetic Fokker–Planck Equation by Optimal Control

T Breiten, KK Kunisch - SIAM Journal on Control and Optimization, 2023 - SIAM
The long time behavior and detailed convergence analysis of Langevin equations have
received increased attention in recent years. Difficulties arise from a lack of coercivity …