New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian

M Rydel - Advances in Computational Mathematics, 2019 - Springer
This paper presents a new approach to modeling of linear time-invariant discrete-time non-
commensurate fractional-order single-input single-output state space systems by means of …

A mixed model reduction method based on the symmetrizer for two classes of dynamical systems

P Yang, B Song, YL Jiang - Applied Mathematical Modelling, 2023 - Elsevier
In regard of the cross Gramian and the block Arnoldi process, this paper focuses on mixed
model reduction for two classes of dynamical systems. By studying the correlation between …

Effective time‐domain approach for the assessment of the stability characteristics and other non‐linear effects of RF and microwave circuits

L Pantoli, D Spina, D Romano… - IET Microwaves …, 2019 - Wiley Online Library
This study describes a systematic approach for the stability analysis of RF and microwave
non‐linear circuits in the time‐domain and that can be useful also for the verification of other …

[PDF][PDF] Application of Reduced-order Suboptimal H_∞ Control for Vertical Oscillation Damping in Mass-spring-dashpot Systems

MA Shehu, MB Ahmad, AA Umar… - Journal homepage …, 2024 - researchgate.net
This paper focuses on the robust stability and performance of suboptimal ℋ∞ control on
mass-spring-dashpot systems subject to parametric uncertainty and external disturbances …

[PDF][PDF] Model Order Reduction of Second Order Systems Based on Gramians

Q Maqsood, KS Haider, A Bint-ul-Huda, S Ali… - International Journal of …, 2023 - pjosr.com
Model Order Reduction of Second Order Systems Based on Gramians Page 1 International
Journal of Emerging Engineering and Technology (IJEET) ISSN (e): 2958-3764 Volume: 2 …

Reduced order controller design for symmetric, non-symmetric and unstable systems using extended cross-gramian

MRF Azhar, U Zulfiqar, M Liaquat, D Kumar - Machines, 2019 - mdpi.com
In model order reduction and system theory, the cross-gramian is widely applicable. The
cross-gramian based model order reduction techniques have the advantage over …