Dynamics of unsymmetric piecewise-linear/non-linear systems using finite elements in time

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes

A family of new 4-noded membrane elements with drilling degrees of freedom and unsymmetric assumed stresses is presented; it is derived from a mixed variational principle originally formulated for finite strain analysis and already used in the literature to develop a purely kinematic membrane model. The performance of these elements, investigated through some well established benchmark problems...

Piecewise Constant Controlled Linear Fuzzy Systems

Dynamics of Delayed Piecewise Linear Systems *

In this paper the dynamics of the controlled pendulum is investigated assuming backlash and time delays. The upper equilibrium of the pendulum is stabilized by a piecewise constant control force which is the linear combination of the sampled values of the angle and the angular velocity of the pendulum. The control force is provided by a motor which drives one of the wheels of the cart through a...

Simulating Continous Systems with Piecewise - Linear Signals Using Time Warp

Recently, an approach using the discrete event paradigm for the simulation of continuous systems has been developed. This approach is based on the use of piecewise-linear approximations for the representation of continuous, time-varying quantities. The focus of this paper is to show how this new technique can be implemented on a multiprocessor. Our hypothesis is that the Time Warp algorithm is ...