Book Chapter10.1007/978-1-4757-3108-8_4
Input-Output Analysis
S. Shankar Sastry
- 01 Jan 1999
- pp 127-181
8
TL;DR: This chapter introduces the reader to various methods for the input-output analysis of nonlinear systems and an extrinsic view to the stability of non linear systems answering the question of when a bounded input produces a bounded output.
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Abstract: In this chapter we introduce the reader to various methods for the input-output analysis of nonlinear systems. The methods are divided into three categories:
1.
Optimal Linear Approximants for Nonlinear Systems. This is a formalization of a technique called the describing function technique, which is popular for a quick analysis of the possibility of oscillation in a feedback loop with some nonlinearities in the loop.
2.
Input-output Stability. This is an extrinsic view to the stability of nonlinear systems answering the question of when a bounded input produces a bounded output. This is to be compared with the intrinsic or state space or Lyapunov approach to stability in the next two chapters.
3.
Volterra Expansions for Nonlinear Systems. This is an attempt to derive a rigorous “frequency domain” representation of the input output behavior of certain classes of nonlinear systems.
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Citations
Model Reduction of the Nonlinear Complex Ginzburg-Landau Equation ∗
TL;DR: The superior performance of balanced truncation compared to POD/Galerkin models in capturing the input/output dynamics of linear systems extends to the case of a nonlinear system, both for the case for significant transient growth and for a limit cycle case that represents a basic model of vortex shedding past a cylinder.
63
Linear control of oscillator and amplifier flows
Peter J. Schmid,Denis Sipp +1 more
- 30 Aug 2016
TL;DR: This invited article, presented at the 2012 APS-DFD meeting, provides a thoughtful explanation of tools and approaches for the design of flow control strategies for both stable and unstable flows.
28
•Dissertation
Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations
Zhu Wang
- 17 Apr 2012
TL;DR: In this article, the authors propose a method to solve the problem of the problem: this article... ]..,.. )].. [1].
28
Impacto económico del turismo en una región: el caso de Asturias
TL;DR: In this article, a metodologia empleada consiste en la aplicación del analisis Input-Output a la medicion del gasto turistico regional, de manera que permite evaluar los distintos niveles de efectos (directos, indirectos e inducidos) asi como conocer su desagregacion sectorial.
8
Finite-dimensional approximation and control of shear flows
H. J. Tol
- 04 Jun 2018
TL;DR: This dissertation proposes a rigorous and practical methodology for the derivation of accurate finite-dimensional approximations and output feedback controllers directly from the governing equations and combines state-space discretisation of the linearised Navier-Stokes equations with balanced truncation to design experimentally feasible low-order controllers.
References
Model Reduction of the Nonlinear Complex Ginzburg-Landau Equation ∗
TL;DR: The superior performance of balanced truncation compared to POD/Galerkin models in capturing the input/output dynamics of linear systems extends to the case of a nonlinear system, both for the case for significant transient growth and for a limit cycle case that represents a basic model of vortex shedding past a cylinder.
63
Linear control of oscillator and amplifier flows
Peter J. Schmid,Denis Sipp +1 more
- 30 Aug 2016
TL;DR: This invited article, presented at the 2012 APS-DFD meeting, provides a thoughtful explanation of tools and approaches for the design of flow control strategies for both stable and unstable flows.
28
•Dissertation
Reduced-Order Modeling of Complex Engineering and Geophysical Flows: Analysis and Computations
Zhu Wang
- 17 Apr 2012
TL;DR: In this article, the authors propose a method to solve the problem of the problem: this article... ]..,.. )].. [1].
28
Impacto económico del turismo en una región: el caso de Asturias
TL;DR: In this article, a metodologia empleada consiste en la aplicación del analisis Input-Output a la medicion del gasto turistico regional, de manera que permite evaluar los distintos niveles de efectos (directos, indirectos e inducidos) asi como conocer su desagregacion sectorial.
8
Finite-dimensional approximation and control of shear flows
H. J. Tol
- 04 Jun 2018
TL;DR: This dissertation proposes a rigorous and practical methodology for the derivation of accurate finite-dimensional approximations and output feedback controllers directly from the governing equations and combines state-space discretisation of the linearised Navier-Stokes equations with balanced truncation to design experimentally feasible low-order controllers.
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