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Some algebraic, combinatorial and algebraic-differential me- thods have beenused in recent years in order to solve many problems in control theory, by effective algorithms. Imple- mentation of these algorithms generally involves algebraic computation systems and tools. Software realizations are al- ready developed in an increasing number of research centres. The goal of the "First European Conference on Algebraic Com- puting in Control" has been to present the main actual me- thods for analysis and control of systems which naturally lead to the use of algebraic computing. The maintopics and...

Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design...

The chapters of this book have been presented at the 1st Workshop of the Nonlinear Control Network*, which was held in Ghent, March 15,16, 1999. These contributions give an overview of some of the current and emerging trends in nonlinear systems and control theory. As editors of this book we would very much like to thank the speakers at this workshop for their sti- lating presentations and for their efforts to bring this material to its current form, which we are sure will provide stimulating reading as well. Dirk Aeyels Franchise Lamnabhi-Lagarrigue Arjan J. van der Schaft 'The Nonlinear...

This volume is based on the course notes of the 2nd NCN Pedagogical School, the second in the series of Pedagogical Schools in the frame work of the European TMR project, "Breakthrough in the control of nonlinear systems (Nonlinear Control Network)." The school consists of four courses that have been chosen to give a broad range of techniques for the analysis and synthesis of nonlinear control systems, and have been developed by leading experts in the field. The topics covered are: Differential Algebraic Methods in Nonlinear Systems; Nonlinear QFT; Hybrid Systems; Physics in Control.
The...