M. Sumon Hossain

M. Sumon Hossain
University of Groningen | RUG · Johann Bernoulli Institute for Mathematics and Computer Science (JBI)

PhD researcher

About

14
Publications
700
Reads
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26
Citations
Introduction
I am currently working as a PhD student at the Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen.

Publications

Publications (14)
Article
Minimal realization is discussed for linear switched systems with a given switching signal. We propose a consecutive forward and backward approach for the time-interval of interest. The forward approach refers to extending the reachable subspace at each switching time by taking into account the nonzero reachable space from the previous mode. Afterw...
Conference Paper
We discuss the problem of minimal realization for linear switched systems with a given switching signal and present some preliminary results for the single switch case. The key idea is to extend the reachable subspace of the second mode to include nonzero initial values (resulting from the first mode) and also extend the observable subspace of the...
Presentation
Full-text available
Introduction Proposed Approximation Systems Balanced Truncation (BT) for time-varying system Numerical Results Summary Introduction Switched ODE: u −→ S σ : ẋ(t) = A σ(t) x(t) + B σ(t) u(t) y(t) = C σ(t) x(t) + D σ(t) u(t) −→ y Md. Sumon Hossain (Bernoulli institute) Model Reduction of Switched Systems (1 / 30)
Article
We propose a model reduction approach for switched linear system based on a balanced truncation reduction method for linear time-varying systems. The key idea is to approximate the piecewise-constant coefficient matrices with continuous time-varying coefficients and then apply available balance truncation methods for (continuous) time-varying syste...
Poster
Full-text available
Switched system can be considered as a special class of piecewise continuous linear time varying systems. In this contribution , we propose a model reduction approach for piecewise continuous linear time varying switched systems. The technique is mainly based on balancing based model order reduction (MOR) method for linear time varying systems. We...
Article
To implement the balancing based model reduction of large-scale dynamical systems we need to compute the low-rank (controllability and ob-servability) Gramian factors by solving Lyapunov equations. In recent time, Rational Krylov Subspace Method (RKSM) is considered as one of the efficient methods for solving the Lyapunov equations of large-scale s...
Poster
Full-text available
To implement the balancing based model reduction of large-scale dynamical systems we need to compute the low-rank (con-trollability and observability) Gramian factors by solving Lyapunov equations. Rational Krylov Subspace Method (RKSM) is an efficient method to find the approximate low-rank Gramian factors by solving the Lyapunov equation which ar...
Article
Full-text available
In this study, a supply chain consists of vendor and buyer, where the vendor and buyer are two distinct independent logistic organizations have been investigated. Supply chain management has the difficulties for the disconnected and independent economic individuals. Further, rapid technological changes and high competitiveness make supply chain mor...
Book
In this thesis under the title “Efficient Solution of Lyapunov Equation for Descriptor System and Application to Model Order Reduction ", an efficient solution of Lyapunov equation will be derived and the application of model order reduction to reduce the large system to lower dimensional system will be shown. Mathematical models of physical system...
Conference Paper
Full-text available
Analysis of hydro-magnetic natural convectionflow in a square cavity with internal elliptic shape cold block at the centre with Prandtl number of 0.711 has been investigated numerically. The governing equations, mass, momentum, energy and induction equations are applied to the cavity. The governing differential equations are solved by using finite...
Article
Full-text available
p> This paper develops an inventory model for deteriorating items consisting the ordering cost, unit cost, opportunity cost, deterioration cost and shortage co s t. In this inventory model instead of linear demand function nonlinear exponential function of time for deteriorating items with deterioration rate has been considered. The effects of infl...
Conference Paper
Full-text available
This paper focuses on the iterative method for solving Lyapunov equations to compute the low-rank Gramian factors. Such Lyapunov equations arise from large-scale sparse index-1 descriptor system. The technique is mainly based on rational Krylov subspace method (RKSM) which is introduced in [1]. However, there the proposed technique is applicable fo...

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Projects

Projects (2)
Project
We want to compute reduced approximation of switched DAEs. At first controllability and observabiity Gramians are needed to analysis.