A experiência do fora em Bang Bang:

Strong Optimality for a Bang-Bang Trajectory

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...

Bang-Bang Operations from a Geometric Perspective

Strong, fast pulses, called ‘‘bang–bang’’ controls can be used to eliminate the effects of system-environment interactions. This method for preventing errors in quantum information processors is treated here in a geometric setting which leads to an intuitive perspective. Using this geometric description, we clarify the notion of group symmetrization as an averaging technique, provide a geometri...

The Bang-Bang Funnel Controller (long version)

A bang-bang controller is proposed which is able to ensure reference signal tracking with prespecified time-varying error bounds (the funnel) for nonlinear systems with relative degree one or two. For the design of the controller only the knowledge of the relative degree is needed. The controller is guaranteed to work when certain feasibility assumptions are fulfilled, which are explicitly give...

The Big Bang is bang on.

The Bang-Bang theorem via Baire category. A Dual Approach

The paper develops a new approach to the classical bang-bang theorem in linear control theory, based on Baire category. Among all controls which steer the system from the origin to a given point x̄, we consider those which minimize an auxiliary linear functional φ. For all φ in a residual set, we show that the minimizing control is unique and takes values within a set of extreme points.