-matrices and Lyapunov scalar stability.
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Hershkowitz, Daniel, Mashal, Nira (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Zhu, Yan, Zhang, Cheng-Yi, Liu, Jun (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Elhashash, Abed, Rothblum, Uriel G., Szyld, Daniel B. (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Zeng, Li, Xiao, Ming, Huang, Tin-Zhu (2009)
Applied Mathematics E-Notes [electronic only]
Laffey, Thomas J. (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Przemysław Przyborowski, Tadeusz Kaczorek (2009)
International Journal of Applied Mathematics and Computer Science
Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.
Anwar, M., Latif, N., Pečarić, J. (2010)
Journal of Inequalities and Applications [electronic only]
Tamminana Kurmayya, Koratti C. Sivakumar (2008)
Discussiones Mathematicae - General Algebra and Applications
In this short note we study necessary and sufficient conditions for the nonnegativity of the Moore-Penrose inverse of a real matrix in terms of certain spectral property shared by all positive splittings of the given matrix.
Tadeusz Kaczorek (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
The problem of finding a gain matrix of the state-feedback of 2D linear system such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. It is shown that the problem can be reduced to suitable linear programming problem. The proposed approach can be extended to 2D linear system described by the 2D Roesser model.
C. Zenger (1984)
Numerische Mathematik
Miroslav Fiedler (1974)
Matematický časopis
Arunava Mukherjea, Steve Gibert (1987)
Mathematische Zeitschrift
Grundy, D.A., Johnson, C.R., Olesky, D.D., van den Driessche, P. (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
McCartin, Brian J. (2003)
Journal of Applied Mathematics
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