[PDF] Top 20 An intrusive polynomial algebra multiple shooting approach to the solution of optimal control problems

... an approach to the solution of optimal control problems under uncertainty, that extends the clas- sical direct multiple shooting transcription to account for random ... See full document

... an optimal control for the considered problems is not a simple ...Recently, optimal control is introduced as a mathematically challenging and practi- cally important discipline [1, 2] ... See full document

... for optimal control problems was initially pro- posed in [7] and uses finite elements in time on spectral bases to transcribe the differential equations into a set of non-linear algebraic ...indirect ... See full document

... novel approach to the solution of multi-phase multi-objective optimal control ...proposed solution strategy is based on the transcription of the optimal control problem ... See full document

... error, control discretization error, and regularization ...comprehensive solution algorithm for state constrained optimal control problems one must be aware that regularities and ... See full document

... unique solution, ...those control functions will be admissible which give rise to state functions x(t) satisfying the ...admissible control functions, each giving rise to a specific evolution of the ... See full document

... to control variables. In such sys- tems, multiple shooting methods [1-4] do not dealing with the problem in a correct ...an optimal solution seems to be diffi- ... See full document

... applied problems, many numerical techniques have been ...find solution use techniques as diverse as classical variational methods to inspire heuristic ...former approach, leads to a boundary problem, ... See full document

... discrete optimal control problems are constructed and ...the optimal control problems which contain a linear elliptic boundary value problem as a state equation, control ... See full document

... Bang-bang control switching between upper and lower bounds, is the optimal strat- egy for solving a wide variety of control ...The control of a dynamical system has lower and upper bounds and ... See full document

... In Chapter 6 we described -the SP procedure for solving optimal control problems in distributed parameter systems involving control variables that are distributed... However, many proble[r] ... See full document

... Since optimal control problems are problems formulated in function space, an analysis of the projected Newton method in this framework would give some insight for the case of ne ...of ... See full document

... Theory of particle swarm optimization (PSO) has been growing rapidly. PSO has been used by many applications of several problems. The algorithm of PSO emulates from behavior of animals societies that don’t have ... See full document

... value problems of fractional order are converted into an optimal control ...approximate solution is constructed from translations and dilations of a B-spline function such that the exact ... See full document

... In [8] the usage of orthogonal polynomials for obtaining an analytical approximate solution to optimal control problems with a weighed quadratic cost function is proposed. The method consists ... See full document

... The optimal control of a system is one of the most practical subjects in science and engineering [5, 6, 17, 21, 25, ...The optimal control problems involve minimization of a performance ... See full document

... dual approach is used to study the problem ( )  by converting the original control problem into a global optimization ...dual approach given in this paper with the Pontryagin maximum principle, we ... See full document

... solve optimal control problems (OPCs) of Volterra integral equations ...approximating polynomial on each sub-interval. In this method, optimal trajectory and control functions ... See full document

... unique solution of (35) under general hypothesis on the ...generalized solution did not adapt to PDE of HJB type (see ...such approach to HJB ...“viscosity” solution of (35) under mild ... See full document

... cosity solution of a Hamilton-Jacobi-Bellman equation, the problem to study a similar formulation for the generalized setting would be quite ...viscosity solution for Eikonal equations in a general metric ... See full document