# Non-Linear dynamic models

### Bayesian dynamic linear models for structural health monitoring

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### Modelling Environmental Effect Dependencies with Principal Component Analysis and Bayesian Dynamic Linear Models

**Dynamic**

**Linear**...Four

**models**are built using all the temperature observations and 1 to 4 PCs, and four

**models**are built using one temper- ature observation at the ...produces ...

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### Empirical validation of bayesian dynamic linear models in the context of structural health monitoring

**Dynamic**

**Linear**

**Models**(BDLM) are traditionally employed in the fields of applied statis- tics and Machine ...and

**non**-uniform time steps are ...Bayesian,

**Dynamic**Lineal ...

16

### Bayesian Nonparametric Inference of Switching Dynamic Linear Models

**linear**dynamical

**models**with an unknown number of modes for describing complex dynamical ...dynamical

**models**that allow for identification of variable order ...

34

### Prediction of non-linear time-variant dynamic crop model using bayesian methods

**non**-

**linear**and

**non**- Gaussian processes (where no a priori information about the states and parameters is available), by assuming time-varying statistical ...good

**dynamic**model, ensuring ...

7

### Dynamic linear economies with social interactions

**linear**

**models**allows us to extend our analysis in several directions which are important in applications and empirical ...of

**dynamic**dependence of agents’ actions at ...

87

### Dynamic Factor Models

**linear**DFM is estimated by principal components, in the second step, a Markov-switching model, as in Hamilton (1989), is specified for the estimated factor(s) and is estimated by maximum ...MIDAS

**models**5 ...

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### Convex optimization in identification of stable non-linear state space models

**models**is a common challenge in ...where

**models**y = h(u) defined by “simple” functions h(·) are fitted to data records of u and y, is a major topic of research in statistics and machine ...of ...

7

### An approximate dynamic programming approach to solving dynamic oligopoly models

**linear**program (4.10). In particular, we showed that by sampling a sufficiently large, ...

48

### Toward robust parameterized reduced-order models of non-linear structures using POD

**linear**structures have been intensively studied in the past and are now well-established ...these

**linear**methods have been proposed in order to account for changes in the model ...to ...

2

### Computational and quasi-analytical models for non-linear vibrations of resonant MEMS and NEMS sensors

**dynamic**behavior of MEMS has been investigated by several authors so ...Existing

**models**are of variable complexity, depending on assumptions concerning the mechanical and electrostatic

**non**- ...

30

### Fast smoothing in switching approximations of non-linear and non-Gaussian models

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### Dynamic inflation of non-linear elastic and viscoelastic rubberlike membranes

**models**implementation is that the kinematical variables (elementary local axes for example) change during the time step. As we cannot evaluate this change, we have to approximate it. ...

20

### Estimating the Number of Regimes of Non-linear Autoregressive Models.

**models**without knowing the form of the density of the ...for

**linear**switching

**models**(see Olt´eanu and Rynkiewicz ...autoregressive

**models**with mean square error criterion and prove the ...

6

### Analysis of linear structures with non linear dampers

**non**

**linear**equations This method encounters several problems with Equation 11 which has to be ...is

**linear**whereas the second one has the same shape as the constitutive ...

6

### Non destructive testing using non linear vibroacoustic

7

### Limits on Non-Linear Electrodynamics

13

### Stability analysis and gain synthesis for Lipschitz non linear systems under dynamic event triggered sampling

**dynamic**event trigger [9] has been proposed in order to further reduce communication (see also [19] and ...of

**dynamic**event trigger is to create a new

**dynamic**including the static event triggering ...

10

### Development and assessment of non-linear and non-stationary seasonal rainfall forecast models for the Sirba watershed, West Africa

**models**, with either changing parameters or constant parameters, were devel- oped and tested in this study, using three predictors (air temperature, sea level pressure and relative ...cast

**models**...

20

### Learning Linear Transformations using models

**linear**transformations such as making sense of what linearity means in the context of

**Linear**Algebra and the relation of

**linear**transformation with functions, matrices and with the concept of ...

12