Contraction-based model predictive control for stochastic nonlinear discrete-time systems with time-varying delays via multi-dimensional Taylor network

GB Wang, HS Yan - Journal of the Franklin Institute, 2023 - Elsevier
For stochastic nonlinear systems with time-varying delays, the existing robust control
approaches are unnecessarily conservative in most practical scenarios. Within this context …

Contraction analysis of monotone systems via separable functions

Y Kawano, B Besselink, M Cao - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, we study incremental stability of monotone nonlinear systems through
contraction analysis. We provide sufficient conditions for incremental asymptotic stability in …

Scalability in nonlinear network systems affected by delays and disturbances

S **e, G Russo, RH Middleton - IEEE Transactions on Control …, 2021 - ieeexplore.ieee.org
This article is concerned with the study of scalability in nonlinear heterogeneous networks
affected by communication delays and disturbances. After formalizing the notion of …

Youla-Kuc˘ era Parametrization in the Contraction Framework

Y Kawano, A Van Der Schaft… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this paper, we study incrementally exponentially stable (IES) image and kernel
representations for nonlinear systems with the aim of generalizing the Youla-Kuc˘ era …

Contraction theory for dynamical systems on Hilbert spaces

P Cisneros-Velarde, S Jafarpour… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Contraction theory for dynamical systems on Euclidean spaces is well-established. For
contractive (resp. semicontractive) systems, the distance (resp. semidistance) between any …

A comparison of LPV gain scheduling and control contraction metrics for nonlinear control

R Wang, R Tóth, IR Manchester - IFAC-PapersOnLine, 2019 - Elsevier
Gain-scheduled control based on linear parameter-varying (LPV) models derived from local
linearizations is a widespread nonlinear technique for tracking time-varying setpoints …

Continuous-time dynamic realization for nonlinear stabilization via control contraction metrics

R Wang, IR Manchester - 2020 American Control Conference …, 2020 - ieeexplore.ieee.org
Nonlinear stabilization using control contraction metric (CCM) method usually involves an
online optimization problem to compute a minimal geodesic (a shortest path) between pair …

Calculation of dynamic processes in relay systems of automatic control based on graph models

S Ubaydulayeva, R Gazieva… - IOP Conference Series …, 2020 - iopscience.iop.org
This article discusses the construction of a graph model of a relay system of automatic
control. Based on the graph model, relations are derived for calculating transients in a relay …

Distributed identification of contracting and/or monotone network dynamics

M Revay, J Umenberger… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article proposes methods for identification of large-scale networked systems with
guarantees that the resulting model will be contracting—a strong form of nonlinear stability …

On the design of multiplex control to reject disturbances in nonlinear network systems affected by heterogeneous delays

S **e, G Russo - 2023 American Control Conference (ACC), 2023 - ieeexplore.ieee.org
We consider the problem of designing control protocols for nonlinear network systems
affected by heterogeneous, time-varying delays and disturbances. For these networks, the …