economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. the theory of optimal control resulting from the contributio...

We explore the role of a special class of optimization problems involving controlled Liouville equations. We present some new results on the controllability of the Liouville equation and discuss the optimal control of its moments for some important special cases. The problems treated suggest a new domain of applicability for optimal control, one which can include constraints more appropriate fo...

1Aeronautics and Control and Dynamical Systems, California Institute of Technology, 1200 E. California Boulevard, Mail Code 107-81, Pasadena, CA 91125, U.S.A. 2Control and Dynamical Systems, California Institute of Technology, 1200 E. California Boulevard, Mail Code 205-45, Pasadena, CA 91125, U.S.A. 3Aeronautics and Mechanical Engineering, California Institute of Technology, 1200 E. California...

The purpose of this research is to present the designs required and methodology prototype production control electronically a mechanical-controllable system on case study. under consideration field crop sprayer. reason for investigation operator exposure harmful chemical inefficiency flow control. It necessary precisely start end at requested location, close certain part spraying line, prevent ...

We analyze the existence and uniqueness of the optimal control for a class of exactly controllable linear systems. We are interested in the minimization of time, energy and final manifold in transfer problems. The state variables space X and, respectively, the control variables space U, are considered to be Hilbert spaces. The linear operator T(t) which defines the solution of the linear contro...

The paper concerns optimal control problems for dynamic systems governed by a parametric family of discrete approximations of control systems with continuous time. Discrete approximations play an important role in both qualitative and numerical aspects of optimal control and occupy an intermediate position between discrete-time and continuous-time control systems. The central result in optimal ...

This paper presents an analysis of the slow-peaking phenomenon, a pitfall of low-gain designs that imposes basic limitations to large regions of attraction in nonlinear control systems. The phenomenon is best understood on a chain of integrators perturbed by a vector field ( ) that satisfies ( 0) = 0. Because small controls (or low-gain designs) are sufficient to stabilize the unperturbed chain...

which have been studied extensively (as in [4]) and arise in many applications. The class of control problems considered include problems for which one wishes to minimize Jl x(t) at while requiring that u(t)EUCR, *G[0, T], and either x\ [T-h,T] He in a manifold in AC([T-h, T], R) or x(t) =f(*) on [T-h, T], f a fixed absolutely continuous function. These functional boundary conditions arise natu...