Algebraic Computing in Control: Proceedings of the First European Conference Paris, March 13–15, 1991 (Lecture Notes in Control and Information Sciences, 165)

ISBN 10: 3540544089 / ISBN 13: 9783540544081

Editore: Springer, 1991

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Titolo: Algebraic Computing in Control: Proceedings ...

Casa editrice: Springer

Data di pubblicazione: 1991

Legatura: Brossura

Condizione: New

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Riassunto:

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 themes are as follows: mathematic tools in control theory that lead to effective algorithms, algebraic computing tools, that are available in the field of control theory, software realizations in control involving algebraic computing.

Contenuti:

The symbolic computation of vector field expressions.- An implementation of tools for graded Lie-algebras in reduce.- Computer algebra approaches to enzyme kinetics.- Calcul formel pour la “poursuite singuliere” de trajectories.- Using symbolic calculus for singularly perturbed nonlinear systems.- Calcul d'approximations de la solution d'un systeme non lineaire utilisant le logiciel Scratchpad.- Scratchpad implementation of the local minimal realization of dynamic systems.- Poincaré's linearization method applied to the design of nonlinear compensators.- Program for symbolic and rule-based analysis and design of nonlinear systems.- Algebraic computations for design of nonlinear control systems.- Joint use of maple and Basile: Using computer algebra in a CACSD environment.- Computer algebra for nonlinear output feedback stabilization.- Découplage des systèmes dynamiques non linéaires.- Utilisation du calcul formel pour l'etude et la commande des systemes lineaires : approche transfert.- Fast algorithms for structured matrices and interpolation problems.- Polynomial dynamical systems over finite fields.- Computing with P.B.W. in enveloping algebras.- Rational computation in dioid algebra and its application to performance evaluation of Discrete Event Systems.- Intrinsic differential algebra.- Truncated bilinear approximants: Carleman, finite volterra, Padé-type, geometric and structural automata.- Generating series for analytic systems.- Poincare normal form and carleman linearization.- Control algorithms for chaotic systems.- Analytical method of solving the differential equations, describing a developing macroeconomical system that is under the influence of scientific and technical progress.- Practical computation of accessibility, controllability and nilpotent approximations.- Algebraic computing and linear system control.- Asymptotic behaviour of nash strategy in linear-quadratic games a computer algebra approach.- Optimal pole placement by weight selection.- Algebraic computations for multi-delay systems analysis.