Linear perturbations of ordinary differential equations
Linear perturbations of ordinary differential equations
We present several results dealing with the problem of the preservation of the stability of a system <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="x prime equals upper A left-parenthesis t right-parenthesis x"> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:mi>A</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>t</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mi>x</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">x’ = A(t)x</mml:annotation> </mml:semantics> …