Inverse optimization is the problem of determining values missing input parameters for an associated forward that are closest to given estimates and will make a target vec...

We study global optimization (GOP) in the framework of non-linear inverse problems with a unique solution. These problems are in general ill-posed. Evaluation of the objective function is often expensive, as it implies the solution of a non-trivial forward problem. The ill-posedness of these problems calls for regularization while the high evaluation cost of the objective function can be addres...

In this paper, the particular solution technique for inverse simulation applied to the quadrotor maneuvering flight is investigated. The ‎trust-region dogleg (DL) technique which is proposed alleviates the weakness of Newton’s method used for numerical differentiation of system states in the solution process. The proposed technique emphasizes global convergence solution to the inverse simulatio...

This paper is focused on the application of inverse problem methodology for solving some problems that have emerged in space science. The inverse model is an implicit technique: a constrained non-linear optimization problem, in which the forward problem is iteratively solved for successive approximations of the unknown parameters. Iteration proceeds until an objective-function, representing the...

In this paper the direct kinematic model of a multiple applications three degrees of freedom industrial manipulator, was developed using the homogeneous transformation matrices and the Denavit Hartenberg parameters, likewise the inverse kinematic model was developed using the same method, verifying that in the workload border the inverse kinematic presents considerable errors, therefore a genet...

1. Introduction. Optimization problems that are constrained by partial differential equations (PDEs) arise naturally in many areas of science and engineering. In the sciences, such problems often appear as inverse problems in which some of the parameters in a simulation are unavailable, and must be estimated by comparison with physical data. These parameters are typically boundary conditions, i...

It is well known that damaged structural members may alter the behavior of the structures considerably. Careful observation of these changes has often been viewed as a means to identify and assess the location and severity of damages in structures. Among the responses of a structure, natural frequencies are both relatively easy to obtain and independent from external excitation, and therefore, ...

I present a parallel matrix-free framework for frequency-domain seismic modeling, imaging and inversion. The framework provides basic building blocks for designing and testing optimization-based formulations of both linear and non-linear seismic inverse problems. By overloading standard linear-algebra operations, such as matrixvector multiplications, standard optimization packages can be used t...