## 61 Citations

### Gramian-based uniform convergent observer for stable LTV systems with delayed measurements

- MathematicsInt. J. Control
- 2020

An observer for a linear time-varying system with delayed measurements is developed and it contains nonlinearities that provide a uniform fixed-time convergence to a bounded region in the estimation error coordinates that is new for the addressed class of systems.

### On Practical Fixed-Time Convergence for Differential Riccati Equations

- Mathematics
- 2019

Sufficient conditions for fixed-time convergence of matrix differential Riccati equations towards an ellipsoid in the space of symmetric non-negative matrices are proposed. These conditions are based…

### Process Noise Covariance Design in Kalman Filtering via Bounds Optimization

- EngineeringIEEE Transactions on Automatic Control
- 2019

In terms of estimation accuracy, the Kalman filter with the optimal design outperforms a robust $H_2$ filter designed to cope with an equivalent uncertainty and Monte Carlo simulations illustrate the good convergence, performance, and low sensitivity to initial guesses of the proposed method.

### Robust state and input estimation with enhanced convergence rate for monitoring anaerobic digestion

- Journal of Process Control
- 2022

### Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems

- MathematicsSIAM Journal on Control and Optimization
- 2022

A detectability condition for linear time-varying systems based on the exponential dichotomy spectrum guarantees the existence of an observer, whose gain is determined only by the unstable modes of the system.

### Nonlinear Observers Design for Vision-Aided Inertial Navigation Systems

- MathematicsIEEE Transactions on Automatic Control
- 2022

A nonlinear observer on SO(3) × R relying on body-frame acceleration, angular velocity and (stereo or monocular) bearing measurements of some landmarks that are constant and known in the inertial frame is proposed.

### Appendix: Matrix Equations

- MathematicsCommunications and Control Engineering
- 2021

The Lyapunov equation and the algebraic Riccati equation are treated in depth. The Lyapunov equation arises as the equation for the asymptotic covariance matrix of the state of a stationary Gaussian…

### Appendix: State-Variance Matrices

- MathematicsCommunications and Control Engineering
- 2021

Concepts and results of the geometric structure of the set of state-variance matrices of a time-invariant Gaussian system are provided in this chapter. With respect to a condition, the set is convex…

### A theoretical analysis of one-dimensional discrete generation ensemble Kalman particle filters

- Mathematics
- 2021

Despite the widespread usage of discrete generation Ensemble Kalman particle filtering methodology to solve nonlinear and high dimensional filtering and inverse problems, little is known about their…

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### A priori bounds for the Riccati equation

- Mathematics
- 1972

Since the appearance of [6] and [7], the theory of linear filtering has experienced a renaissance. This theory, although evidently well known to statisticians in terms of "least squares estimates,"…