Stability of retarded systems with slowly varying coefficient
ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 3, pp. 877-888.

The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

DOI : 10.1051/cocv/2011185
Classification : 34K20
Mots-clés : linear retarded systems, stability, generalized Bohl-Perron principle 
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     title = {Stability of retarded systems with slowly varying coefficient},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {877--888},
     publisher = {EDP-Sciences},
     volume = {18},
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     doi = {10.1051/cocv/2011185},
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     url = {http://archive.numdam.org/articles/10.1051/cocv/2011185/}
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Gil, Michael Iosif. Stability of retarded systems with slowly varying coefficient. ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 3, pp. 877-888. doi : 10.1051/cocv/2011185. http://archive.numdam.org/articles/10.1051/cocv/2011185/

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