Given ( \dotx = A x ), where ( A ) is Hurwitz, find a Lyapunov function ( V(x) = x^T P x ) such that ( \dotV(x) = -x^T Q x ) for a given ( Q = Q^T > 0 ).
Because in the world of control theory, we don’t hand out solutions—we hand out Lyapunov functions. Joao P Hespanha Linear Systems Theory Solutions
Before hunting for solutions, you must understand the philosophy of the book. Given ( \dotx = A x ), where
By following these steps, you'll be well on your way to mastering Linear Systems Theory and tackling even the most challenging problems. where ( A ) is Hurwitz