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Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: •...
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Partial Stability and Control develops a new, efficient method of analysis and of control synthesis for problems on partial stability and control in dynamic systems described by ordinary differential equations, including delay, stochastic, and uncertain systems. The method is based on efficient procedures of transformation on initial systems or their subsystems, for controlled systems, and allows the solutions to be simplified. In addition, the method also allows many linear and nonlinear problems to be solved that cannot be easily done with available methods. Ample attention is given to nonlinear game-theoretical problems of reorientation of an asymmetric solid. This book will be a valuable reference for advanced graduates and professionals in applied mathematics, mechanics and control, and control engineering who use stability theory and control methods.
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This book summarizes the main results achieved in a four-year European Project on nonlinear and adaptive control. The project involves leading researchers from top-notch institutions: Imperial College London (Prof A Astolfi), Lund University (Prof A Rantzer), Supelec Paris (Prof R Ortega), University of Technology of Compiegne (Prof R Lozano), Grenoble Polytechnic (Prof C Canudas de Wit), University of Twente (Prof A van der Schaft), Politecnico of Milan (Prof S Bittanti), and Polytechnic University of Valencia (Prof P Albertos).The book also provides an introduction to theoretical advances in nonlinear and adaptive control and an overview of novel applications of advanced control theory, particularly topics on the control of partially known systems, under-actuated systems, and bioreactors./a
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The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics and beyond. This book presents and develops a complete and thorough treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods.
The classic reference work that provides annually updated information on the countries of the world.