Control and Dynamic Systems: Advances in Theory and Applications, Volume 34: Advances in Control Mechanics, Part 1 of 2 presents the fundamental aspects of mechanical systems control theory. This book deals with microburst, a severe meteorological condition significant to aircraft control. Organized into seven chapters, this volume begins with an overview of the problem of stable control of an aircraft subjected to windshear caused by microburst. This text then examines the results concerning control of an aircraft under windshear conditions. Other chapters consider the robust control problem using the variable structure control method. This book discusses as well the problem of finding zeros of a nonlinear vector function by using methods of dynamical systems analysis. The final chapter deals with the role of singularities and their effect on the global trait of dynamical systems. This book is a valuable resource for mechanical and materials engineers. Research workers and students will also find this book useful.