F. R. Sadykov, “A graphical frequency criterion of <nobr>$L_2$</nobr>-stability for multidimensional nonstationary dynamic systems”, Avtomat. i Telemekh., 1988, Issue 2,Pages <nobr>70

Deterministic Systems

A graphical frequency criterion of $L_2$-stability for multidimensional nonstationary dynamic systems

F. R. Sadykov

Moscow

Abstract: Frequency conditions are provided for $L_2$-stability of linear multidimensional systems which contain several variable factors. The resultant conditions are interpreted geometrically as an extension of the variational logarithmic criterion developed by Fridman and Zeilis. The application of the graphical criterion is described to stability studies of solutions to a linear differential equation with variable factors.

UDC: 62-501.42

Received: 02.12.1986