Stability Conditions of Kirchhoff's law Circuit

The conditions of stability have been studied by criteria depended on polynomial of degree four got from a system of Differential Equations of Kirchhoff's law, this exactly which the paper discussed and the Kirchhoff's system has form: Where { }q is the charge on the capacitor, [ ] L is the inductance and cS1= , where c is the capacitor.Which represent the voltage drop across the capacitor and inductance.