## Nomenclature
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Author** & **Method** & **Research Objective** & **Research Gap and Problem** & **Solution and Modelling** & **Result and Finding** \\ \hline [PERSON] et al. [19] & Noe-linear SSI & Introduced a modal decoupling procedure and the modal mass & Need to deal with variability of the identification results due to nonlinear effects & A multi-storey building model with high/speed in estimates obtained by the proposed approach. \\ \hline [PERSON] et al. [197] & MOSEP & Used two SSI techniques sequentially and iteratively to extract modal parameters and estimates the ground accidents. & Need to estimate the structural parameters of a under unknown ground excitation & A numerical and a laboratory test is satisfactory and fairly robust. \\ \hline [PERSON] and [PERSON] [5] & Combined SSI & Adopted an orthogonal projection and IV & Need for modal identification of time-varying structures under time-varying structures under environmental building model. & Numerical model of a four DOF & The proposed algorithm can track the most parameters quite well. \\ \hline [PERSON] and [PERSON] [73] & Improved a SSI using convex nuclear norm optimization & Need to a identification scheme for multivariable state space model by improving the classical methods & Mathematical formulations & The sequences for derivation the system parameters from NSD is clearly demonstrated. \\ \hline [PERSON] et al. [51] & SSI-COV \& & Focused on the seismic monitoring of a historical structure by means of an advanced WSNs & Need to analyze critical issues in the historical structure of the Basilica S. Maria di Clamaggio. \\ \hline [PERSON] et al. [196] & Deterministic SSI & Performance determination: SSI on the obtained response signal after applying wavelet-de-noising methods & Need to a risk system identification with low sensitivity to the infilled noise & A numerically simulated model and experimentally measured rotor & The use of multi-waveed de-noising result in a more accurate identification. \\ \hline [PERSON] et al. [172] & Combined SSI-COV & Developed a novel multivariate SSI-COV based on new minimization and work & Need to a risk system identification with an empirical application of a thin-walled metallic structure & A multi-DOF numerical ensemble and an experimental application of a thin-walled metallic structure & The obtained results are similar to those produced by data-driven method. \\ \hline [PERSON] and [PERSON] [41] & CSI-DATA & Presented a theoretical framework to extract the system parameters using a physical-based and a data-driven models & Need to evaluate physical models of a multi-DOF but multiple model and an experimental test of a & A multi-DOF but multiple model and an experimental test of a & The proposed grey-by-two framework, has shown promising performance for six-step steady steam. & ShM of coil structures. \\ \hline [PERSON] [17] & Frequency domain & Proposed a subspace algorithm by calculating minimal realization of power spectrum and a canonical spectral factor & Need to deal with the problem of system identification of dynamic systems. & A numerical example & Some drawback exploiting reliable performance of the algorithm is highlighted. \\ \hline [PERSON] [81] & McKebey SB-FD & Presented two system identification methods & Need to meet interpretation challenges & The methods were able to predict natural associated with system identification & The methods were able to predict natural \\ \hline [PERSON] et al. [197] & Input-output SSI & & Proposed a damage assessment method by adopting input/output SSI algorithm and a model & Need to make high-quality input/output prediction methods & A1/4-scale six-story steel frame & The method was able to detect the damping locations and quantify the damping severity. \\ \hline [PERSON] and [PERSON] [58] & Combined SSI-DATA & Adopted modal decoupling and new criterion & Need to extract frequency content of limited number of modes from the limited number of modes from the 224 Belogor & The most complete set of modes reported so far is obtained. \\ \hline [PERSON] and [PERSON] [106] & Multivariable & Proposed a Multiple-input multiple-output (MIMO) input-output SSI method that uses multi-input and single-output (MISO) realization & A need to provide a robust model order determination using SVD. & Numerical model and a free-free spatial trees & Accurate model parameters were estimated using this method. \\ \hline \hline \end{tabular}
\end{table}