A boundary Pareto optimal control problem for the parabolic operator with infinite order is considered. The performance index has an integral form. Constraints on controls and on states are imposed. To obtain optimality conditions for the Neumann problem, the generalization of the Dubovitskii-Milyutin Theorem given by Walczak in Refs.[33,34], was applied. AMS Subject Classification : 35K20, 49J...

Wavelet shrinkage methods have been very successful in nonparametric regression. The most commonly used wavelet procedures achieve adaptivity through term-by-term thresholding. The resulting estimators attain the minimax rates of convergence up to a logarithmic factor. In the present paper, we propose a block thresholding method where wavelet coef-cients are thresholded in blocks, rather than i...

Three-dimensional groundwater flow and solute transport models were combined within a genetic algorithm framework to solve the discrete-time, optimal control problem of pump-and-treat remediation management with multiple management periods. The results show that (a) a nonlinear concentration term in the performance index contributes significantly to remediation costs; (b) multiple management pe...

In this paper we investigate optimal pid control of a double integrating plus delay process and compare with the simc rules. What makes the double integrating process special is that derivative action is actually necessary for stabilization. In control, there is generally a trade-off between performance and robustness, so there does not exist a single optimal controller. However, for a given ro...

This paper presents the optimal regulator for a linear system with multiple state delays and a quadratic criterion. The optimal regulator equations are obtained using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs demonstrating better per...

Time discrete systems determined by systems of difference equations are considered. The characterizations of their optimal trajectories with given starting and final states is studied. An algorithm based on dynamic programming technique for determining such trajectories is proposed. In additional multicriterion version for considered control model is formulated and a general algorithm for deter...

The torque control of wind turbines in below-rated wind speeds involves a trade-off between power capture and generator loads. This paper explores this fundamental trade-off in the presence of preview wind information. A continuous-time optimal control problem is formulated on a one-state nonlinear turbine model. The numerical solution of this problem gives the Pareto optimal relationship betwe...

In this work we develop a method to perform simultaneous design and tolerance allocation for engineering problems with multiple objectives. Most studies in existing literature focus on either optimal design with constant tolerances or the optimal tolerance allocation for a given design setup. Simultaneously performing both design and tolerance allocation with multiple objectives for hierarchica...

We obtain a version of Noether’s invariance theorem for optimal control problems with a finite number of cost functionals. The result is obtained by formulating E. Noether’s result to optimal control problems subject to isoperimetric constraints, and then using the unimprovable (Pareto) notion of optimality. A result of this kind was posed to the author, as a mathematical open question, of grea...

This paper proposes a theory of sharecropping on the basis of price behavior in agriculture and imperfectly competitive nature of rural product markets. First we show the superiority of sharecropping over fixed rental contracts in a benchmark landlord–tenant model with seasonal variation of price, where the tenant receives a low price for his output while the landlord can sell his output at a h...