Abstract: The complex dynamics of a pendulum controlled by a Proportional-Derivative (PD) compensator are analyzed. A classification of equilibrium points and the characterization of their bifurcations is ...

Abstract: An invariance principle for a class of ordinary differential equations with discontinuous right-hand side is developed. Based on this principle, asymptotic stability of one-degree-of-freedom mechanical ...

Abstract: The optimal control of a class of discrete multivariable nonlinear systems given by: xk+1 = a (xk ) + B (xk ) uk , yk = C xk , is analyzed. A closed-loop structure is obtained with the ...