Consider a system described by the state-space model

\(\dot x = \left[ {\begin{array}{*{20}{c}} 0&1\\ 5&{ - 1} \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 1\\ 2 \end{array}} \right]u\)

\(y = \left[ {\begin{array}{*{20}{c}} 1&2 \end{array}} \right]x\)

If the closed-loop characteristic equation is determined for feedback of the form \(u = - \left[ {\begin{array}{*{20}{c}} {{K_1}}&{{K_2}} \end{array}} \right]x\), the coefficient of ‘s’ for the given values K1 = 2, K2 = 2 is ________

Enter numerical value using the virtual keypad. Round off where necessary.

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