On Stability of Randomly Switched Nonlinear Systems
نویسندگان
چکیده
منابع مشابه
On the stability of planar randomly switched systems
Consider the random process (Xt)t>0 solution of Ẋt = AItXt where (It)t>0 is a Markov process on {0, 1} and A0 and A1 are real Hurwitz matrices on R. Assuming that there exists λ ∈ (0, 1) such that (1−λ)A0 + λA1 has a positive eigenvalue, we establish that ‖Xt‖ may converge to 0 or +∞ depending on the the jump rate of the process I. An application to product of random matrices is studied. This p...
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2007
ISSN: 0018-9286
DOI: 10.1109/tac.2007.904253