Exponential stability and stabilization of nD systems

The paper considers nonlinear nD discrete and continuous systems described by a state-space model of the Roesser form where the property of exponential stability is characterized by use of a vector Lyapunov function. The property of exponential dissipativity is defined and a particular case of this property, termed exponential passivity, is used, together with a vector storage function, to develop a new method for output based control law design. An example of a system with nonlinear actuator dynamics is given to demonstrate the application effectiveness of the new results.