Abstract
New conditions are given in both deterministic and stochastic settings for the stability of the system x=A(t)x when A(t) is slowly varying. Roughly speaking, the eigenvalues of A(t) are allowed to “wander” into the right half-plane as long as “on average” they are strictly in the left half-plane.
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This work was funded by the NSF under Grant ECS-8806063, and was completed while the author was with the Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD 21218, U.S.A.
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Solo, V. On the stability of slowly time-varying linear systems. Math. Control Signal Systems 7, 331–350 (1994). https://doi.org/10.1007/BF01211523
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DOI: https://doi.org/10.1007/BF01211523