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Stability of Nonlinear Systems with Differentiable Linear Parts

✍ Scribed by M.I. Gil

Publisher
Springer
Year
2005
Tongue
English
Weight
68 KB
Volume
24
Category
Article
ISSN
0278-081X

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✍ M. Medved’; M. PospΓ­Ε‘il; L. Ε kripkovΓ‘ πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 235 KB

Sufficient conditions for the exponential stability of the trivial solution of nonlinear differential equations with delay and with linear parts of the form Ax(t) +Bx(t -Ο„ ), Ο„ > 0, where AB = BA, are proved. A result on the nonexistence of blowing-up solutions is also proved.