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constitute a class of systems that has the important property that its state variables are never negative, given a positive initial state. These systems appear frequently in practical applications, as these variables represent physical quantities, with positive sign (levels, heights, concentrations,
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310:"Memoryless Control to Drive States of Delayed Continuous-time Systems within the Nonnegative Orthant"
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L. Farina and S. Rinaldi, Positive Linear
Systems; Theory and Applications, J. Wiley, New York, 2000
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Hmamed, Abelaziz; Benzaouia, Abdellah; Rami, Mustapha Ait; Tadeo, Fernando (2008).
277:"Selection of Time-after-injection in Bone Scanning using Compartmental Observers"
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228:"A positive systems model of TCP-like congestion control: asymptotic results"
400:"Positive observation problem for linear time-delay positive systems"
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The fact that a system is positive has important implications in the
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T. Kaczorek. Positive 1D and 2D Systems. Springer- Verlag, 2002
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It is also important to take this positivity into account for
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Shorten, Robert; Wirth, Fabian; Leith, Douglas (June 2006).
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2007 Mediterranean
Conference on Control & Automation
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398:Ait Rami, M.; Helmke, U.; Tadeo, F. (June 2007).
275:Tadeo, Fernando; Rami, Mustapha Ait (July 2010).
284:Proceedings of the World Congress on Engineering
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50:design, as standard observers (for example
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351:"Scalable control of positive systems"
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235:IEEE/ACM Transactions on Networking
160:is positive if and only if A is a
100:is positive if and only if A is a
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62:A continuous-time linear system
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107:A discrete-time linear system
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93:{\displaystyle {\dot {x}}=Ax}
153:{\displaystyle x(k+1)=Ax(k)}
33:linear time-invariant system
377:10.1016/j.ejcon.2015.04.004
355:European Journal of Control
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58:Conditions for positivity
27:design. For instance, an
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349:Rantzer, Anders (2015).
317:IFAC Proceedings Volumes
247:10.1109/TNET.2006.876178
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29:asymptotically stable
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52:Luenberger observers
179:Nonnegative matrix
162:nonnegative matrix
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184:Positive feedback
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462:Categories
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368:1203.0047
361:: 72–80.
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31:positive
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168:See also
37:diagonal
20:etc.).
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