Failure identification for 3D linear systems

• Basile, G., & Marro, G. (1992). Controlled and conditioned invariants in linear system theory. Englewood Cliffs, NJ: Prentice-Hall.

  MATH  Google Scholar 

• Bisiacco, M., & Valcher, M. E. (2006). Observer-based fault detection and isolation for 2D state-space models. Multidimensional Systems and Signal Processing, 17, 219–242.

  Article  MATH  MathSciNet  Google Scholar 

• Buddika Sumanasena, M. G., & Bauer, P. H. (2011). Realization using the Fornasini-Marchesini model for implementations in distributed grid sensor networks. IEEE Transactions on Circuits and Systems I: Regular Papers, 58(11), 2708–2717.

  Article  MathSciNet  Google Scholar 

• Fornasini, E., & Marchesini, G. (1978). Doubly-indexed dynamical systems: State-space models and structural properties. Mathematical Systems Theory, 12(1), 59–72.

  Article  MATH  MathSciNet  Google Scholar 

• Fornasini, E., & Marchesini, G. (1988). Failure detection in 2D systems. Control-Theory and Advanced Technology, 4(4), 381–393.

  MathSciNet  Google Scholar 

• Graham, R. L., & Lehmer, D. H. (1975). On the permanent of Schur’s matrix. Journal of the Australian Mathematical Society (Series A), 21, 487–497.

  Article  MathSciNet  Google Scholar 

• Gałkowski, K., Lam, J., Xu, S., & Lin, Z. (2003). LMI approach to state-feedback stabilization of multidimensional systems. International Journal of Control, 76(14), 1428–1436.

  Article  MATH  MathSciNet  Google Scholar 

• Hwang, I., Kim, S., Kim, Y., & Seah, C. E. (2010). A survey of fault detection, isolation, and reconfiguration methods. IEEE Transactions on Control Systems Technology, 18(3), 636–653.

  Article  Google Scholar 

• Ihab, S., Postlethwaite, I., & Dai-Wei, Gu. (2011). Survey and application of sensor fault detection and isolation schemes. Control Engineering Practice, 19(7), 658–674.

  Article  Google Scholar 

• Jury, E. I. (1978). Stability of multidimensional scalar and matrix polynomials. Proceedings of the IEEE, 66(9), 1018–1047.

  Article  MathSciNet  Google Scholar 

• Kar, H., & Singh, V. (2003). Stability of 2-D systems described by the Fornasini–Marchesini first model. IEEE Transactions on Signal Processing, 51(6), 1675–1676.

  Article  MathSciNet  Google Scholar 

• Massoumnia, M. A. (1986). A geometric approach to the synthesis of failure detection filters. IEEE Transactions on Automatic Control, 31, 839–849.

  Article  MATH  MathSciNet  Google Scholar 

• Napp-Avelli, D., Rapisarda, P., & Rocha, P. (2011). Time-relevant stability of 2D systems. Automatica, 47(11), 2373–2382.

  Article  MathSciNet  Google Scholar 

• Ntogramatzidis, L., Cantoni, M., & Ran, Y. (2008). A geometric theory for 2-D systems including notions of stabilizability. Multidimensional Systems and Signal Processing, 19, 449–475.

  Article  MATH  MathSciNet  Google Scholar 

• Ntogramatzidis, L. (2012). Structural invariants of two-dimensional systems. SIAM Journal on Control and Optimization, 50(1), 334–356.

  Article  MATH  MathSciNet  Google Scholar 

• Ntogramatzidis, L., & Cantoni, M. (2012). Detectability subspaces and observer synthesis for two-dimensional systems. Multidimensional Systems and Signal Processing, 23, 79–96.

  Article  MATH  MathSciNet  Google Scholar 

• Rapisarda, P., & Rocha, P. (2012). Lyapunov functions for time-relevant 2D systems, with application to first-orthant stable systems. Automatica, 48(9), 1998–2006.

  Article  MATH  MathSciNet  Google Scholar 

• Wonham, W. M. (1979). Linear multivariable control: A geometric approach. Berlin: Springer.

  Book  MATH  Google Scholar 

• Zampieri, S. (1992). 2D residual generation and dead beat observers. Systems & Control Letters, 17, 483492.

  Google Scholar 

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