Abstract: A method is introduced for determining approximate properties of the response of nonlinear stochastic systems. The method is based in concept on the variational methods of mechanics and allows ...

Abstract: The principles of calculus of variations are used to obtain necessary conditions for optimal control of dynamical systems that involve nonconstant time lags. Consideration is given to systems ...

Abstract: A method for the determination of the domain of asymptotic stability of second-order nonlinear systems is presented. The essence of the method is the construction of Liapunov-like functions. ...

Abstract: A method is developed for generating Liapunov functions with which to determine the domain of asymptotic stability for nonlinear autonomous systems of any order, so long as these systems may ...

Abstract: Stability characteristics of an overhanging shaft immersed in a viscous fluid are investigated experimentally. The predominance of two effects, damping and virtual mass, are separated and explored ...