Dynamic Programming for Impulse Feedback and Fast Controls

<b><i>Dynamic Programming for Impulse Feedback and Fast Controls</i></b> offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the Hamilton-Jacobi-Bellman type. It provides exercises and examples in relation to software, such as techniques for regularization of ill-posed problems. It also gives an introduction to applications such as hybrid dynamics, control in arbitrary small time, and discontinuous trajectories.<p>This book walks the readers through:</p><p></p><ul><li>the design and description of feedback solutions for impulse controls;<br></li><li>the explanation of impulses of higher order that are derivatives of delta functions;<br></li><li>the description of their physically realizable approximations - the fast controls and their approximations;<br></li><li>the treatment of uncertainty in impulse control and the applications of impulse feedback.<br></li></ul><p></p><p></p> <p>Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors , such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.</p>