$\frac{\text{R}\text{e}\text{v}\text{i}\text{e}\text{w}\text{Q}\text{u}\text{e}\text{s}\text{t}\text{i}\text{o}\text{n}\text{s}}{\text{c}\text{x}\text{a}\text{m}}$

Cotistruct at lapunov function for the three$-$dimensional system

$x^{\text{'}}=Ax,$

where, $A=(010001-8-14-7).$

$2.$ Construct a Liapunov function for the three$-$dimensional system

$x^{\text{'}}=Ax,$

where, $A=(010001-6-11-6).$

$3.$ Use Karsovskii's method to determine the asymptotic stability of the zero solution at

$x_1^{\text{'}}=-x_1$

$x_1^{\text{'}}=x_1-x_2-x_2^3.$