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Titlebook: Linear, Time-varying Approximations to Nonlinear Dynamical Systems; with Applications in María Tomás-Rodríguez,Stephen P. Banks Book 2010 S

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书目名称Linear, Time-varying Approximations to Nonlinear Dynamical Systems
副标题with Applications in
编辑María Tomás-Rodríguez,Stephen P. Banks
视频video
概述Offers the reader a method for designing control for nonlinear systems which is less restrictive than others of the kinds of nonlinearity it can handle.Although the methods outlined are novel, they ca
丛书名称Lecture Notes in Control and Information Sciences
图书封面Titlebook: Linear, Time-varying Approximations to Nonlinear Dynamical Systems; with Applications in María Tomás-Rodríguez,Stephen P. Banks Book 2010 S
描述.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..
出版日期Book 2010
关键词dynamical system; nonlinear system; optimal control; optimization; sliding mode control; stability; stabil
版次1
doihttps://doi.org/10.1007/978-1-84996-101-1
isbn_softcover978-1-84996-100-4
isbn_ebook978-1-84996-101-1Series ISSN 0170-8643 Series E-ISSN 1610-7411
issn_series 0170-8643
copyrightSpringer-Verlag London 2010
The information of publication is updating

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The Structure and Stability of Linear, Time-varying Systems,-varying systems. It is therefore important to study the general questions of existence, uniqueness, etc. for dynamical systems of this type. In this chapter we shall consider the general theory of linear time-varying dynamical systems first from the point of view of existence and uniqueness, and th
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General Spectral Theory of Nonlinear Systems,storically this was the approach taken by control engineers until the introduction of state-space theory. The techniques developed in the past include Nyquist and Bode diagrams, pole assignment and root locus methods. Frequency domain methods are therefore extremely important, especially for the sup
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Fixed Point Theory and Induction,d a combination of fixed point theorems and induction. The induction will proceed in the following way: suppose we want to prove some property . of Equation 8.1, and assume we can find a function ..(.) which has this property. Suppose also that if ..(.) has the property, then the solution ..(.) of E
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