This paper considers the optimal control problem of connecting two periodic trajectories with maximal persistence. A maximally persistent trajectory is close to the periodic type in the sense that the norm of the image of this trajectory under the operator defining the periodic type is minimal among all trajectories. A solution is obtained in this paper for the case when the two trajectories ha...

In this paper we present an economic model of optimal consumption and labour supply where we assume that working may generate stress which affects the wellbeing of the representative individual. As to stress we posit that it is influenced by cumulated past labour and capital. The latter reflects the fact that work-related stress evolves gradually over time and that it is more likely to occur in...

In many practical situations the outputs of a plant are not measured exactly, but are corrupted by quantization errors. Often the effect of the quantization error is neglected in the control design phase, which can lead to undesirable effects like limit cycles and even chaotic behavior once the controller has been implemented. In this paper we present a method based on 11 optimal control that m...

This paper deals with the vertical and longitudinal control of a mechanical system which interacts intermittently with the environment. The control approach is based on Controlled LimitCycle for performing the hopping motion, whereas a nonlinear energy based control law is used for longitudinal motion control. The study of this simple system permits a better comprehension of more complicated le...

Abstract—In this study, a general approach to the reliability based limit analysis of laterally loaded piles is presented. In engineering practice the uncertainties play a very important role. The aim of this study is to evaluate the lateral load capacity of free-head and fixed-head long pile when plastic limit analysis is considered. In addition to the plastic limit analysis to control the pla...

It was shown in Spong [1999b] that the passive gaits for a planar 2DOF biped walking on a shallow slope (Goswami et al. [1995]) can be made slope invariant by a passivity based control that compensates only the gravitational torques acting on the biped. In this paper we extend these results to the general case of a 3-D, n-DOF robot. We show that if there exists a passive walking gait, i.e., if ...

This paper studies the minimum switching control problem for a system of coupled double integrators with on-off input signals, in the presence of a constant disturbance term. This type of problem is relevant to a variety of applications in which the number of transitions of on-off actuators must be minimized, in order to prevent actuator wear. Two solutions are presented in terms of steady stat...

This paper deals with the theory of codimension one bifurcations applied to a dynamical system derivedfrom applying Pontryagin 's maximum principIe to an optimal control problem for economic fisheries management. Changes in the number and/or the stability of stationary states as well as the appearance of closed orbits, are analyzed. Some necessCl.'Y and/or sufficient conditions are established ...