Global and Local Controllability

Notes on Local Controllability

The first part of these notes is a motivating example which justifies, apart from pure intellectual curiosity, our desire to delve into the details of Sussmann’s local controllability results presented in [2]. The following sections then summarize various results in the paper. Possibly the hardest part of reading Sussmann’s paper is keeping track of all the notation. The Appendix presents a lis...

Control Variations and Local Controllability

Fasting and diabetes from a local and global perspective- commentary

  Fasting is a common practice among people with diabetes (PWD). As healthcare providers we are in a position to assist those who choose to fast to manage their diabetes effectively. Diabetes self-management education for PWD is needed both prior and during the time of fasting to best metabolic control.  

Local Controllability and Semigroups of Diffeomorphisms

1. I n t r o d u c t i o n 1. Let M be a real-analytic manifold, Vect M the Lie algebra of analytic vector fields on M. We consider a vector field f E Vect M as a differential operator of first order on the algebra of smooth functions C ~ (M) which satisfies the differentiation rule f(W1W2) -" (fw1)W2 + wI(fW2) VWI, W2 E Coo(M). A point z E M will be identified with the corresponding homomorphi...

Local controllability of quantum networks

Daniel Burgarth, Sougato Bose, Christoph Bruder, and Vittorio Giovannetti Mathematical Institute, University of Oxford, 24-29 St Giles’ Oxford OX1 3LB, UK Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK 3 Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland NEST CNR-INFM & Scuola Normale Superiore, Piazza de...