We consider Euler discretizations to a class of linear-quadratic optimal control problems. Assuming that the discrete controls are of bang-bang type and define switching functions with a uniform structure independent of the discretization we show, that the discrete controls converge to a bang-bang control, which is a solution of the original problem.

In this paper we give sufficient conditions for a bang-bang regular extremal to be a strong local optimum for a control problem in the Mayer form; strong means that we consider the C0 topology in the state space. The controls appear linearly and take values in a polyhedron, and the state space and the end point constraints are finite-dimensional smooth manifolds. In the case of bang-bang extrem...

To date there have been great advances in the legged robotics community. However, these platforms are extremely costly to develop and require complex controllers perform agile motion, limiting their research well funded institutions, or purely simulation based studies. This focuses on an low cost robotic monopod platform that consists of a high powered servo motor as pneumatic actuator. Due on/...

The evolution of a two-state system driven by a sequence of imperfect π pulses (with random phase or amplitude errors) is calculated. The resulting decreased fidelity is used to derive a plausible limit on the performance of ”bang-bang” control methods for the suppression of decoherence. Typeset using REVTEX

A large collection of financial contracts offering guaranteed minimum benefits are often posed as control prob4 lems, in which at any point in the solution domain, a control is able to take any one of an uncountable number of 5 values from the admissible set. Often, such contracts specify that the holder exerts control at a finite number of 6 deterministic times. The existence of an optimal ban...