Abstract :
Conditions are developed under which exponential stability of a composite discrete system is implied by exponential stability of its subsystems and the nature of their interactions. Stability of the system is determined by testing positive definiteness property of a real symmetric matrix the dimension of which is equal to the number of subsystems.
Keywords :
"Stability","Interconnected systems","Automatic control","Symmetric matrices","Difference equations","Nonlinear systems","Control systems","Optimal control","System testing","Lyapunov method"