3. Control method
In this section, we will derive and numerically validate the control law that stabilizes the system (6). For the control
objective we will assume the maximum rate of decrease of the energy function.
For the sake of the further studies, let us first rewrite the system (6) in the state space representation. By introducing the
state vector
x ¼ ½w1
1; w_ 1
1; w2
1; w_ 2
1; …; wn
1; w_ n
1; w1
2; w_ 1
2; w2
2; w_ 2
2; …; wn
2; w_ n
2
T AR4n; (7)