This monograph presents a unified mathematical framework for a wide range of problems in estimation and control. The authors discuss the two most commonly used methodologies: the stochastic H2 approach and the deterministic (worst-case) H8 approach. Despite the fundamental differences in the philosophies of these two approaches, the authors have discovered that, if indefinite metric spaces are considered, they can be treated in the same way and are essentially the same. The benefits and consequences of this unification are pursued in detail, with discussions of how to generalize well-known...

The authors reduce a variety of problems in system / control theory to a handful of convex and quasiconvex optimization problems.

This book treats an important set of techniques that provide a mathematically rigorous and complete error analysis for computational results. It shows that interval analysis provides a powerful set of tools with direct applicability to important problems in scientific computing.

Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.

In this book, the authors describe the first unified theory of polynomial-time interior-point methods.

In this book, electro-diffusion of ions in its different aspects is considered as a unified subject.

In this comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems.

This book provides useful reference material for those concerned with the use of Fourier analysis and computational fluid dynamics.

This title presents an introduction to the classical treatment of Backlund and general surface transformations.

Examines initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in mechanics and electromagnetic theories.