Linear, Time-varying Approximations to Nonlinear Dynamical Systems [recurso electrónico] : with Applications in Control and Optimization / by María Tomás-Rodríguez, Stephen P. Banks.

Por: Tomás-Rodríguez, María [author.]Colaborador(es): Banks, Stephen P [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Lecture Notes in Control and Information Sciences ; 411Editor: London : Springer London, 2010Descripción: XII, 298p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781849961011Tema(s): Engineering | Systems theory | Mathematical optimization | Engineering | Control | Optimization | Statistical Physics, Dynamical Systems and Complexity | Systems Theory, ControlFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 629.8 Clasificación LoC:TJ212-225Recursos en línea: Libro electrónicoTexto
Contenidos:
to Nonlinear Systems -- Linear Approximations to Nonlinear Dynamical Systems -- The Structure and Stability of Linear, Time-varying Systems -- General Spectral Theory of Nonlinear Systems -- Spectral Assignment in Linear, Time-varying Systems -- Optimal Control -- Sliding Mode Control for Nonlinear Systems -- Fixed Point Theory and Induction -- Nonlinear Partial Differential Equations -- Lie Algebraic Methods -- Global Analysis on Manifolds -- Summary, Conclusions and Prospects for Development.
En: Springer eBooksResumen: Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.
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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos TJ212 -225 (Browse shelf(Abre debajo)) 1 No para préstamo 372828-2001

to Nonlinear Systems -- Linear Approximations to Nonlinear Dynamical Systems -- The Structure and Stability of Linear, Time-varying Systems -- General Spectral Theory of Nonlinear Systems -- Spectral Assignment in Linear, Time-varying Systems -- Optimal Control -- Sliding Mode Control for Nonlinear Systems -- Fixed Point Theory and Induction -- Nonlinear Partial Differential Equations -- Lie Algebraic Methods -- Global Analysis on Manifolds -- Summary, Conclusions and Prospects for Development.

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

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