Michael Gil, "Stability of Linear Systems with the Generalized Lipschitz Property," WSEAS Transactions on Systems, vol. 18, pp. 25-28, 2019, DOI:
Michael Gil. Stability of Linear Systems with the Generalized Lipschitz Property.
WSEAS Transactions on Systems. 2019;18:25-28.
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 18, 2019
Stability of Linear Systems with the Generalized Lipschitz Property
Author:
Abstract: We consider non-autonomous multivariable linear systems governed by the equation u˙ = A(t)u with the matrix A(t) satisfying the generalized Lipschitz condition kA(t) − A(τ )k ≤ a(|t − τ |) (t, τ ≥ 0), where a(t) is a positive function. Explicit sharp stability conditions are derived. In the appropriate situations our results generalize and improve the traditional freezing method. An illustrative example is presented.
Pages: 25-28 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 18, 2019, Art. #3 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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