Andrew D. Lewis Livres

Focusing on the modeling, analysis, and control of mechanical systems, this book provides a unified approach to control theory applicable to various fields such as robotics and autonomous vehicles. It distinguishes itself by integrating techniques from differential and Riemannian geometry, offering a unique perspective on mechanical control systems. The comprehensive methods and results are designed for a broad range of multi-body system applications, making it a valuable resource for both theory and practical implementation.

"The Drowning of Money Island tells the story of a journalist's return to a hometown ravaged by Superstorm Sandy, where lack of recovery, sea level rise, and a state effort to buy out and demolish neighborhoods has fractured the community and foreshadowed coastal America's sinking future"-- Provided by publisher

Chronic diseases have become prevalent in the so-called civilized world, raising questions about the health care system's true priorities. The book critiques the pharmaceutical and food industries, suggesting they prioritize profit over genuine health. It emphasizes the importance of understanding medical practices, drug efficacy, and toxic exposures to make informed health choices. With rising rates of conditions like autism and autoimmune disorders, the author argues for personal empowerment and self-education in health matters, supported by credible resources for informed decision-making.

Focusing on global geometric analysis, this monograph presents tools for examining real analytic manifolds. It introduces various topological descriptions for real analytic sections of vector bundles and mappings between manifolds, highlighting the development of geometric seminorms. The book illustrates its techniques by demonstrating how key constructions in differential geometry lead to continuous mappings in the context of real analytic sections and mappings, making it a valuable resource for researchers in the field.

This brief presents a description of a new modelling framework for nonlinear/geometric control theory. The framework is intended to be—and shown to be—feedback-invariant. As such, Tautological Control Systems provides a platform for understanding fundamental structural problems in geometric control theory. Part of the novelty of the text stems from the variety of regularity classes, e.g., Lipschitz, finitely differentiable, smooth, real analytic, with which it deals in a comprehensive and unified manner. The treatment of the important real analytic class especially reflects recent work on real analytic topologies by the author. Applied mathematicians interested in nonlinear and geometric control theory will find this brief of interest as a starting point for work in which feedback invariance is important. Graduate students working in control theory may also find Tautological Control Systems to be a stimulating starting point for their research.