NUMERICAL ERROR BOUND FOR NON-HOMOGENEOUS STABLE AND UNSTABLE LINEAR DYNAMICAL SYSTEMS
- Publication Type
- Original research
- Authors
- Fulltext
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In this article, we use the Balanced Truncation (BT)
method for constructing a reduced-order model for both stable and unstable finite-dimensional linear time-invariant (LTI) dynamical systems with non-homogeneous initial conditions. The L2-error bound for the stable system has been obtained by interpolating the non-zero initial conditions as an extra input by choosing Dirac’s delta function δ0 ∈ L2. This approach has been successfully extended to develop a framework for model reduction over a finite interval [0, T] for unstable (LTI) systems. The advantages and flexibility of this approach are demonstrated with a variety of numerical examples.
Journal
- Title
- Palestine Journal of Mathematics
- Publisher
- Palestine Polytechnic University-PPU 2022
- Publisher Country
- Palestine
- Indexing
- Scopus
- Impact Factor
- None
- Publication Type
- Prtinted only
- Volume
- 11
- Year
- 2022
- Pages
- 360-372