Carathe´odory Controllability Criterion for Nonlinear Dynamical Systems
1978 ◽
Vol 100
(3)
◽
pp. 209-213
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Keyword(s):
The question of whether a system is controllable or not is of prime importance in modern control theory and has been actively researched in recent years. While it is a solved problem for linear systems, it is still an open question when dealing with bilinear and nonlinear systems. In this paper, a controllability criterion is established based on a theorem by Carathe´odory. By associating a given dynamical system with a certain Pfaffian equation, it is argued that the system is controllable (uncontrollable) if its associated Pfaffian form is nonintegrable (integrable).
2001 ◽
Vol 24
(5)
◽
pp. 813-813
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2008 ◽
Vol 18
(05)
◽
pp. 1531-1537
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2000 ◽
2015 ◽
Vol 25
(03)
◽
pp. 1550044
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2017 ◽
Vol 27
(09)
◽
pp. 1750144
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2008 ◽
Vol 3
(2)
◽
2001 ◽
Vol 11
(08)
◽
pp. 2205-2215
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Keyword(s):