Kalman Filtering for a Generalized Class of Nonlinear Systems and a New Gaussian Quadrature Technique

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This paper introduces a novel method for data-driven robust control of nonlinear systems based on the Koopman operator, utilizing Integral Quadratic Constraints (IQCs). The Koopman operator theory facilitates the linear representation of nonlinear system d ...

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This paper proposes a data-driven control design method for nonlinear systems that builds upon the Koopman operator framework. In particular, the Koopman operator is used to lift the nonlinear dynamics to a higher-dimensional space where the so-called obse ...

We study the problem of learning unknown parameters in stochastic interacting particle systems with polynomial drift, interaction, and diffusion functions from the path of one single particle in the system. Our estimator is obtained by solving a linear sys ...

Parametric oscillators are examples of externally driven systems that can exhibit two stable states with opposite phase depending on the initial conditions. In this work, we propose to study what happens when the external forcing is perturbed by a continuo ...

Explicit time integration schemes coupled with Galerkin discretizations of time-dependent partial differential equations require solving a linear system with the mass matrix at each time step. For applications in structural dynamics, the solution of the li ...

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We propose a principled method for projecting an arbitrary square matrix to the non- convex set of asymptotically stable matrices. Leveraging ideas from large deviations theory, we show that this projection is optimal in an information-theoretic sense and ...

We examine the influence of surface charge on the percolation, gel-point and phase behavior of cellulose nanocrystal (CNC) suspensions in relation to their nonlinear rheological material response. Desulfation decreases CNC surface charge density which lead ...

We introduce a high-order spline geometric approach for the initial boundary value problem for Maxwell's equations. The method is geometric in the sense that it discretizes in structure preserving fashion the two de Rham sequences of differential forms inv ...

The intrinsic random amplitude and phase modulation of 40 distinct lines of a microresonator frequency comb operated in the modulation instability regime are used to realize massively parallel random-modulation continuous-wave light detection and ranging, ...

Control systems operating in real-world environments often face disturbances arising from measurement noise and model mismatch. These factors can significantly impact the perfor- mance and safety of the system. In this thesis, we aim to leverage data to de ...

The discretization of robust quadratic optimal control problems under uncertainty using the finite element method and the stochastic collocation method leads to large saddle-point systems, which are fully coupled across the random realizations. Despite its ...

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We address the problem of designing stabilizing control policies for nonlinear systems in discrete-time, while minimizing an arbitrary cost function. When the system is linear and the cost is convex, the System Level Synthesis (SLS) approach offers an effe ...

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In this article we study the so-called water tank system. In this system, the behavior of water contained in a 1-D tank is modelled by Saint-Venant equations, with a scalar distributed control. It is well-known that the linearized systems around uniform st ...

Kalman Filtering for a Generalized Class of Nonlinear Systems and a New Gaussian Quadrature Technique

Chattez avec Graph Search

Critical degeneracy in a nonlinear hyperbolic equation can produce atypical instability

Koopman-based Data-driven Robust Control of Nonlinear Systems Using Integral Quadratic Constraints

The Strong Integral Input-to-State Stability Property in Dynamical Flow Networks

Stability: a search for structure

Data-Driven Control Synthesis using Koopman Operator: A Robust Approach

A Method of Moments Estimator for Interacting Particle Systems and their Mean Field Limit

Experimental observation of topological transition in linear and nonlinear parametric oscillators

A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis

Adaptive Symplectic Model Order Reduction Of Parametric Particle-Based Vlasov-Poisson Equation

Efficient Learning of a Linear Dynamical System with Stability Guarantees

Percolation and phase behavior in cellulose nanocrystal suspensions from nonlinear rheological analysis

High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations

Chaotic microcomb-based parallel ranging

Data-Driven Control and Optimization under Noisy and Uncertain Conditions

Preconditioners for robust optimal control problems under uncertainty

Spectral and thermodynamic properties of interacting electrons with dynamical functionals

Distributionally Robust Linear Quadratic Control

Neural System Level Synthesis: Learning over All Stabilizing Policies for Nonlinear Systems

Control-oriented modeling and analysis of tubular dielectric elastomer actuators dedicated to cardiac assist devices

Stabilization of the linearized water tank system