... consider a feedback control problem and introduce thenotion of a control vector Lyapunov function as a generalization of control Lyapunov functions. Specifically, consider the nonlinear controlled dynami-cal ... satisfying φ(0) = 0 is called a control law.Furthermore,ifu(t)=φ(x(t)), where φ is a control law and x(t),t≥ t0, satisfies (5.1), thenu(·) is called a feedback control law. CONTROL OF LARGE-SCALE SYSTEMS ... introduced the notion of a control Lyapunovfunction whose existence guarantees a feedback control law that globallystabilizes a nonlinear dynamical system. In general, the feedback control lawis not...