References
- Donoho DL , Elad M . Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization. Proc Nat Acad Sci. 2003;100:2197–2202.
- Tropp JA . Greed is good: algorithmic results for sparse approximation. IEEE Trans Inf Theory. 2004;50(10):2231–2242.
- Tibshirani R . Regression shrinkage and selection via the lasso. J R Statist Soc B. 1996;58(1):267–288.
- Qiao B , Zhang X , Gao J , et al . Sparse deconvolution for the large-scale ill-posed inverse problem of impact force reconstruction. Mech Syst Signal Pr. 2017;83:93–115.
- Qiao B , Zhang X , Gao J , et al . Impact-force sparse reconstruction from highly incomplete and inaccurate measurements. J Sound Vibration. 2016;376:72–94.
- Pan CD , Yu L , Liu HL , et al . Moving force identification based on redundant concatenated dictionary and weighted l1-norm regularization. Mech Syst Signal Pr. 2018;98:32–49.
- Kaouk M , Zimmerman DC . Structural damage assessment using a generalized minimum rank perturbation theory. AIAA J. 1994;32(4):836–842.
- Candes E , Romberg J . Sparsity and incoherence in compressive sampling. Inverse Prob. 2007;23(1):969–985.
- Link RJ , Zimmerman DC . Structural damage diagnosis using frequency response functions and orthogonal matching pursuit: theoretical development. Struct Control Health Monit. 2015;22:889–902.
- Zhou S , Bao Y , Li H . Structural damage identification based on substructure sensitivity and l1 sparse regularization. Proceedings of the SPIE 8692 Sensors and Smart Structures Technologies for Civil, Mechanical and Aerospace Systems. San Diego, CA; 2013.
- Hernandez EM . Identification of isolated structural damage from incomplete spectrum information using l1-norm minimization. Mech Syst Signal Pr. 2014;46(1):59–69.
- Hernandez EM . Identification of localized structural damage from highly incomplete modal information: theory and experiments. J Eng Mech ASCE. 2016;142(2).
- Hassiotis S . Identification of damage using natural frequencies and Markov parameters. Comput Struct. 2000;74(3):365–373.
- Law SS , Li XY . Wavelet-based sensitivity analysis of the impulse response function for damage detection. J Appl Mech. 2007;74:375–377.
- Mottershead JE , Link M , Friswell M . The sensitivity method in finite element model updating: a tutorial. Mech Syst Signal Pr. 2011;25(7):2275–2296.
- Juang J-N . Applied system identification. Upper Saddle River (NJ): Prentice Hall; 2002. Print.
- Vetter WJ . Derivative operations on matrices. IEEE Trans Autom Control. 1970;15(4):241–244.
- Brewer J . The derivative of the exponential matrix with respect to a matrix. IEEE Trans Inf Theory. 1997;22(4):656–657.
- Friedman J , Hastie T , Tibshirani R . Regularization paths for generalized linear models via coordinate descent. J Stat Softw. 2010;33(1):1–22.