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Subspace methods for system identification

徹 片山
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TLDR
In this article, the authors propose a formalization theory for the realization of deterministic problems in linear algebra and disctrete-time linear systems based on the Kalman filter.
Abstract
Introduction Part I: Preliminaries Linear Algebra and Preliminaries Disctrete-time Linear Systems Stochastic Processes Kalman Filter Part II: Realization Theory Realization of Deterministic Problems Stochastic Realization Theory I Stochastic Realization Theory II Part III: Subspace Identification Subspace Identification I: ORT Subspace Identification II: CCA Identification of Closed-loop System Appendices Least-squares Method Input Signals for System Identification Overlapping Parametrization Matlab(R) Programs Solutions to Problems

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Citations
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An overview of subspace identification

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Closed-loop and activity-guided optogenetic control.

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A spectral algorithm for learning hidden Markov models

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References
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Journal ArticleDOI

From model-based control to data-driven control: Survey, classification and perspective

TL;DR: This paper is a brief survey on the existing problems and challenges inherent in model-based control (MBC) theory, and some important issues in the analysis and design of data-driven control (DDC) methods are here reviewed and addressed.
Journal ArticleDOI

An overview of subspace identification

TL;DR: This paper provides an overview of the state of the art of subspace identification methods for both open-loop and closed-loop systems.
Journal ArticleDOI

Data-Driven Model Predictive Control With Stability and Robustness Guarantees

TL;DR: The presented results provide the first (theoretical) analysis of closed-loop properties, resulting from a simple, purely data-driven MPC scheme, including a slack variable with regularization in the cost.
Journal ArticleDOI

Closed-loop and activity-guided optogenetic control.

TL;DR: This work highlights technical and theoretical foundations as well as recent advances and opportunities in optogenetic experimentation in the context of addressing these challenges with closed-loop optogenetics control in behaving animals.
Proceedings Article

A spectral algorithm for learning hidden Markov models

TL;DR: In this article, the authors prove that under a natural separation condition (bounds on the smallest singular value of the HMM parameters), there is an efficient and provably correct algorithm for learning hidden Markov models.