H2 model order reduction of bilinear systems via linear matrix inequality approach

H Nasiri Soloklo, N Bigdeli - IET Control Theory & Applications, 2023 - Wiley Online Library
This paper proposes an H2‐optimal model order reduction (MOR) method for bilinear
systems based on the linear matrix inequality (LMI) approach. In this method, to reduce the …

Improved Bilinear Balanced Truncation for Order Reduction of the‎ High-Order Bilinear System Based on Linear Matrix Inequalities‎

H Nasiri Soloklo, N Bigdeli - Journal of Electrical and Computer …, 2023 - jecei.sru.ac.ir
Background and Objectives: This paper proposes a new Model Order‎ Reduction (MOR)
method based on the Bilinear Balanced Truncation‎‎(BBT) approach. In the BBT method …

Finite-time model order reduction for K-power bilinear systems via shifted Legendre polynomials

YS Zhang, ZH Xiao, YL Jiang - Computational and Applied Mathematics, 2024 - Springer
In this paper, we propose a finite-time structure-preserving model reduction method based
on the shifted Legendre polynomials for K-power bilinear systems. First, it aims to transform …

Reduced-Order Approximation of Bilinear Systems Using a New Hybrid Method based on Balanced Truncation and Iterative Rational Krylov Algorithms

H Nasiri Soloklo, N Bigdeli - Scientia Iranica, 2023 - scientiairanica.sharif.edu
This paper proposes a hybrid method for order reduction of the bilinear system model using
Balanced Truncation (BT) and Bilinear Iterative Rational Krylov Algorithm (BIRKA). Bilinear …