1 Introduction Page 1 FEEDBACK STABILIZATION OF NONLINEAR SYSTEMS Eduardo D.
Sontag Abstract This paper surveys some well-known facts as well as some recent …

Planning algorithms are impacting technical disciplines and industries around the world,
including robotics, computer-aided design, manufacturing, computer graphics, aerospace …

l\lany systems encountered in practice involve a coupling between contin uous dynamics
and discrete events. Systems in which these two kinds of dynamics coexist and interact are …

Mathematics is playing an ever more important role in the physical and biologi cal sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

Nonholonomic systems provide an important class of mechanical control systems. One
reason for this importance is that nonintegrability is essential to both the mechanics and the …

This book presents methods to study the controllability and the stabilization of nonlinear
control systems in finite and infinite dimensions. The emphasis is put on specific phenomena …

This book presents a modern and self-contained treatment of the Liapunov method for
stability analysis, in the framework of mathematical nonlinear control theory. A Particular …

Control theory originated around 150 years ago when the performance of mechanical
governors started to be analysed in a mathematical way. Such governors act in a stable way …

A theoretical framework is established for the control of nonholonomic dynamic systems, ie
dynamic systems with nonintegrable constraints. In particular, we emphasize control …

In this paper, we settle in the negative a longstanding problem concerning the existence of a
smooth (static or dynamic) state variable feedback law locally asymptotically stabilizing a …