TY - GEN
T1 - Model Reduction of Cooperative Systems Using Separable Energy Functions
AU - Sarkar, Arijit
AU - Kawano, Yu
AU - Scherpen, Jacquelien M. A.
N1 - Publisher Copyright:
Copyright © 2024 The Authors.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - In this paper, we develop a model reduction method for cooperative nonlinear systems via their variational systems. Inspired by scalable stability analysis of cooperative systems based on separable functions, we provide novel L1 differential observability and L∞ differential reachability functions and study them by using vector-valued functions. These vector-valued functions characterize not-so-important state variables. By truncating them, model reduction is performed, which preserves cooperativity and stability properties.
AB - In this paper, we develop a model reduction method for cooperative nonlinear systems via their variational systems. Inspired by scalable stability analysis of cooperative systems based on separable functions, we provide novel L1 differential observability and L∞ differential reachability functions and study them by using vector-valued functions. These vector-valued functions characterize not-so-important state variables. By truncating them, model reduction is performed, which preserves cooperativity and stability properties.
KW - balanced realization
KW - contraction
KW - model reduction
KW - monotone systems
KW - Nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=85202155884&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2024.07.070
DO - 10.1016/j.ifacol.2024.07.070
M3 - Conference contribution
AN - SCOPUS:85202155884
T3 - IFAC-PapersOnLine
SP - 96
EP - 101
BT - Proceedings of the 7th IFAC Conference on Analysis and Control of Nonlinear Dynamics and Chaos (ACNDC 2024)
PB - Elsevier
T2 - 7th IFAC Conference on Analysis and Control of Nonlinear Dynamics and Chaos, ACNDC 2024
Y2 - 5 June 2024 through 7 June 2024
ER -