Abstract Pt100 is a resistance temperature detector characterized by relatively linear resistance/temperature relationship in narrow range. However, the sensor shows certain degree of static transfer function nonlinearity 4.42 % range between −200 °C and 850 °C, which unacceptable for some applications. As solution to this problem, mixed-mode linearization method based on special dual-stage pie...

In free-boundary problems, the accuracy of a goal quantity of interest depends on both the accuracy of the approximate solution and the accuracy of the domain approximation. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems that include both sources of error. The derivation of an appropriate dual problem (linearized adjoint) is, ...

ontrol of underactuated biped robots is one of the challenging problems in the robotics field. The main difficulties of this problem that make it hard to control are its highly nonlinear dynamics, open-loop instability and impact event at the end of each step. Partial feedback linearization is a method to control underactuated systems but it is not robust against uncertainties and disturbances....

ontrol of underactuated biped robots is one of the challenging problems in the robotics field. The main difficulties of this problem that make it hard to control are its highly nonlinear dynamics, open-loop instability and impact event at the end of each step. Partial feedback linearization is a method to control underactuated systems but it is not robust against uncertainties and disturbances....

A standard way of dealing with a matrix polynomial P (λ) is to convert it into an equivalent matrix pencil – a process known as linearization. For any regular matrix polynomial, a new family of linearizations generalizing the classical first and second Frobenius companion forms has recently been introduced by Antoniou and Vologiannidis, extending some linearizations previously defined by Fiedle...

Given an m-parameterized family of n-dimensional vector fields, such that: (i) for some value of the parameters, the family has an equilibrium point, (ii) its linearization has a double zero eigenvalue and no other eigenvalue on the imaginary axis, sufficient conditions on the vector field are given such that the dynamics on the two-dimensional center manifold is locally topologically equivalen...

a fault-tolerant control (ftc) methodology has been presented for nonlinear processes being imposed by control input constraints. the proposed methodology uses a combination of feedback linearization and model predictive control (flmpc) schemes. the resulting constraints in the transformed process will be dependent on the actual evolving states, making their incorporation in the design context ...

In the CT-track of the 2006 RSA conference, a new multivariate public key cryptosystem, which is called the Medium Field Equation (MFE) multivariate public key cryptosystem, is proposed by Wang, Yang, Hu and Lai. We use the second order linearization equation attack method by Patarin to break MFE. Given a ciphertext, we can derive the plaintext within 2 F216 -multiplications, after performing o...

In this paper, a multilevel successive iteration method for solving nonlinear elliptic problems is proposed by combining a multilevel linearization technique and the cascadic multigrid approach. The error analysis and the complexity analysis for the proposed method are carried out based on the two-grid theory and its multilevel extension. A superconvergence result for the multilevel linearizati...