Studies of inflation targeting make the distinction between strict and flexible inflation targeting. The problem of strict inflation targeting has so far been analysed by treating it as a special case of a standard optimal control problem and the algorithms used have not provided an exact solution. This paper presents a formal solution to the problem of strict inflation targeting in a economy w...

This paper presents the control of non-regular or singular nonlinear systems applying non-linear predictive controllers. The systems treated here have the relative degree not well defined thus feedback linearization is not applicable due to singularities in the input-output linearizing control law. An alternative controller capable of dealing with non-regular systems is the NCGPC (Nonlinear Con...

Abstract: According to the goal of the Conference in Bedlewo, dedicated to the 50-th anniversary of Optimal Control theory, and considering that the 2008 year marked the centennial birthday of Lev Semenovich Pontryagin, I decided to devote my talk to a brief account on the discovery of the maximum principle and to an analysis of its basic feature, the Hamiltonian format.

We consider a stochastic control model driven by a fractional Brownian motion. This model is a formal approximation to a queueing network with an ON–OFF input process. We study stochastic control problems associated with the long-run average cost, the infinite-horizondiscounted cost, and thefinite-horizon cost. In addition, wefind a solution to a constrained minimization problem as an applicati...

The theory of fundamental design limitations is well understood for the case that the performance variable is measured for feedback. In the present paper, we extend the theory to systems for which the performance variable is not measured. We consider only the special case for which the performance and measured outputs and the control and exogenous inputs are all scalar signals. The results of t...

This paper presents a general necessary condition for singular time optimal control of robotic manipulation moving along specified paths. Early work [l], [7] ignored the issue of singular control, assuming bang-bang acceleration along the path. Recent work [6] has shown that the time optimal control can be singular if one of the equations of motion reduces to a velocity constraint. This paper d...

This paper presents a neural network-based adaptive control strategy for speed or position tracking of a DC motor with unknown system nonlinearities. In the proposed scheme, we successfully integrate some existing techniques, such as the input±output linearization technique used to cancel the nonlinearities, and neural networks used to implement the linearizing control law. The network approxim...

In the framework of homogeneous susceptible-infected-recovered (SIR) models, we use a control theory approach to identify optimal pandemic mitigation strategies. We derive rather general conditions for reaching herd immunity while minimizing costs incurred by introduction societal measures (such as closing schools, social distancing, lockdowns, etc.), under constraint that infected fraction pop...