Abstract The paper presents differential equations of the movement horizontal spindle drum compiled using 2nd kind Lagrange equations. task was set on how to control a drum. speed Pontriyagin maximum principle set, and requirement for optimal guidance based quality criteria studied. Through formation Hamilton-Pontryagin function, conjugate functions were composed. These made it possible obtain ...

We study the role of predation dynamics in oscillation of pest population in insect ecology. A two-dimensional pest control model (under the use of insecticides) with time delay in predation is considered in this paper. By the Hopf bifurcation theory, we prove the existence of the stable oscillation of the system.We also consider the economic viability of the control process. First we improve t...

Future lunar missions ask for the capability to perform precise Guidance, Navigation and Control (GNC) to the selected landing sites on the lunar surface. This paper studies the guidance issues for the lunar pinpoint soft landing problem. The primary contribution of this paper is the design of descent guidance law based on the Pontryagin maximum principle. The simulation shows that the proposed...

In a series of nonsmooth versions of the Pontryagin Maximum Principle, we used generalized differentials of set-valued maps, flows, and abstract variations. Bianchini and Stefani have introduced a notion of possibly high-order variational vector that has the summability property. We consider a slightly more general class of variational vectors than that defined by Bianchini and Stefani, and pro...

The objective of this work is to design control strategies which optimize composition of production, technology stock and their rates in a nonlinear model of economic growth. The optimal control problem of R&D investment is formulated for a discounted utility function which correlates the amount of sales and production diversity. The maximum principle of Pontryagin is applied for designing opti...

We present a version of the Pontryagin Maximum Principle for control dynamics with a possibly non smooth, nonlipschitz and even discontinuous righthand side. The usual adjoint equation, where state derivatives occur, is replaced by an integrated form, containing only differentials of the reference flow maps. The resulting “integrated adjoint equation” leads to “adjoint vectors” that need not be...

In this paper, we studied and formulated the relapsed SIR model of a constant size population with standard incidence rate. Also, the optimal control problem with treatment and vaccination as controls, subject to the model is formulated. The analysis carried out on the model, clearly showed that the infection free steady state is globally asymptotically stable if the bas...

In this article we present the discrete-time isoholonomic problem of planar Purcell's swimmer and solve it using Pontryagin maximum principle. The 3-link is a locomotion system moving in low Reynolds number environment. kinematics evolves on principal fiber bundle. A structure-preserving kinematic model obtained terms local form discrete connection. An adapted version Discrete Maximum Principle...

This paper is concerned with the optimal control of a production inventory system with time-varying deteriorating items. It is assumed that the deterioration rate follows the two parameters generalized exponential distribution. The continuous review policy is investigated. The optimality conditions are derived using Pontryagin maximum principle. The optimal total cost, the optimal inventory lev...