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International Journal of Control Volume 12, 1970 - Issue 3
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Original Articles

Identification of linear systems through a Grammian technique†

V. K. JAIN School of Engineering Science, Florida State University, Tallahassee, Florida
&
R. D. GUPTA Madhav Engineering College, Gwalior, India
Pages 421-431 | Received 17 Sep 1969, Published online: 06 Aug 2007

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Abhinav Sharma & Sanjay Mathur. (2016) Performance Analysis of Adaptive Array Signal Processing Algorithms. IETE Technical Review 33:5, pages 472-491.
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G V K R Sastry & K V R Chakrapani. (1996) A Simplified Approach for Biased Model Reduction of Linear Systems in Special Canonical Form. IETE Journal of Research 42:6, pages 357-361.
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Articles from other publishers (19)

Sulan Li, Yuanhao Ren, Hong Bao & Wei Zhang. (2014) Computation of Gram Matrix and Its Partial Derivative Using Precise Integration Method for Linear Time-Invariant Systems. Journal of Applied Mathematics 2014, pages 1-10.
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Madson C. de Almeida, Eduardo N. Asada & Ariovaldo V. Garcia. (2009) Identifying critical sets in state estimation using Gram matrix. Identifying critical sets in state estimation using Gram matrix.
Madson C. de Almeida, Eduardo N. Asada & Ariovaldo V. Garcia. (2009) A new method for redundancy analysis of measurements applied to three-phase state estimation. Electric Power Systems Research 79:1, pages 234-238.
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M.C. de Almeida, E.N. Asada & A.V. Garcia. (2008) Power System Observability Analysis Based on Gram Matrix and Minimum Norm Solution. IEEE Transactions on Power Systems 23:4, pages 1611-1618.
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Madson C. de Almeida, Eduardo N. Asada & Ariovaldo V. Garcia. (2008) On the Use of Gram Matrix in Observability Analysis. IEEE Transactions on Power Systems 23:1, pages 249-251.
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M. Telescu, P. Bréhonnet, N. Tanguy, P. Vilbé & L.C. Calvez. (2006) Orthogonal decomposition of derivatives and antiderivatives for easy evaluation of extended Gram matrix. Signal Processing 86:11, pages 3486-3489.
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Madson Almeida, Eduardo Asada & Ariovaldo Garcia. (2006) A Numerical Method for Finding Spanning Trees in Power System State Estimation. A Numerical Method for Finding Spanning Trees in Power System State Estimation.
S. Azou, P. Brehonnet, P. Vilbe & L.C. Calvez. (2000) A new discrete impulse response Gramian and its application to model reduction. IEEE Transactions on Automatic Control 45:3, pages 533-537.
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P. Brehonnet, R. Morvan, P. Vilbe & L.-C. Calvez. (1999) Novel interpretation of the pencil-of-functions approximation/identification method. IEEE Transactions on Signal Processing 47:10, pages 2888-2891.
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T.K. Sarkar & O. Pereira. (1995) Using the matrix pencil method to estimate the parameters of a sum of complex exponentials. IEEE Antennas and Propagation Magazine 37:1, pages 48-55.
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V. Sreeram & P. Agathoklis. (1994) On the properties of Gram matrix. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 41:3, pages 234-237.
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V. Sreeram & P. Agathoklis. (1993) On the computation of the Gram matrix in time domain and its application. IEEE Transactions on Automatic Control 38:10, pages 1516-1520.
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V. Sreeram & P. Agathoklis. (1991) System identification of linear continuous systems via the Gram matrix. System identification of linear continuous systems via the Gram matrix.
V. Sreeram & P. Agathoklis. (1991) The computation of Gram matrix via the solution of Lyapunov equation. The computation of Gram matrix via the solution of Lyapunov equation.
Y. Hua & T.K. Sarkar. (1988) Matrix pencil method and its performance. Matrix pencil method and its performance.
Tapan K. Sarkar, Donald K. Weiner, Vijay K. Jain & Soheil A. Dianat. 1983. Nonlinear Stochastic Problems. Nonlinear Stochastic Problems 87 100 .
V. Jain, T. Sarkar & D. Weiner. (1981) Rational modeling by pencil-of-functions method. Rational modeling by pencil-of-functions method.
V. Jain. (1974) Filter analysis by use of pencil of functions: Part I. IEEE Transactions on Circuits and Systems 21:5, pages 574-579.
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V. K. Jain. (1970) Decoupled Method for Approximation of Signals by Exponentials. IEEE Transactions on Systems Science and Cybernetics 6:3, pages 244-246.
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