Results 11 to 20 of about 2,006 (159)

Physics-Informed Neural Networks and Functional Interpolation for Solving the Matrix Differential Riccati Equation

, 2023
In this manuscript, we explore how the solution of the matrix differential Riccati equation (MDRE) can be computed with the Extreme Theory of Functional Connections (X-TFC). X-TFC is a physics-informed neural network that uses functional interpolation to
Kristofer Drozd, Enrico Schiassi, Roberto Furfaro, Furfaro, R., Andrea D’Ambrosio, Drozd, K., Schiassi, E., D’Ambrosio, A.   +7 more
core   +2 more sources

Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]

, 2005
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der, Petersen, Mark A., Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, Petersen, Mark A.,   +4 more
core   +1 more source

Guaranteed Control for Coupled Lossless Transmission Lines Terminated by a Nonlinear Lumped Circuits [PDF]

, 2023
New stability result is obtained for a multiple interconnected lossless transmission line system which are each terminatedby a lumped nonlinear circuit.
Haas, Olivier; id_orcid, Amadi, Chukwuemeka Paul, Ateke, Royal C., Akuro, Seminiworima, Davies, Iyai   +4 more
core   +1 more source

Linear-like policy iteration based optimal control for continuous-time nonlinear systems [PDF]

, 2022
We propose a novel strategy to construct optimal controllers for continuous-time nonlinear systems by means of linear-like techniques, provided that the optimal value function is differentiable and quadratic-like .
Tahirovic, Adnan, Astolfi, Alessandro, Alessandro Astolfi, Adnan Tahirović   +3 more
core   +1 more source

Bounds of the matrix eigenvalues and its exponential by Lyapunov equation [PDF]

, 2012
summary:We are concerned with bounds of the matrix eigenvalues and its exponential. Combining the Lyapunov equation with the weighted logarithmic matrix norm technique, four sequences are presented to locate eigenvalues of a matrix.
Hu, Guang-Da, Mitsui, Taketomo
core   +1 more source

Flows of singular vector fields and applications to fluid and kinetic equations [PDF]

, 2015
Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
core   +1 more source

Stabilization of a Class of Nonlinear Coupled Ordinary Differential Equation–Partial Differential Equation Systems Via Sampled-Data H∞ Fuzzy Controller

, 2017
The main intention of this study is to develop a sampled-data H∞ fuzzy controller design to analyze the stability of coupled ordinary differential equation (ODE)–partial differential equation (PDE) systems, where the nonlinear coupled system is expressed
R. Rakkiyappan, S. Lakshmanan, S. Dharani   +2 more
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State maps from integration by parts [PDF]

, 2011
We develop a new approach to the construction of state vectors for linear time-invariant systems described by higher-order differential equations. The basic observation is that the concatenation of two solutions of higher-order differential equations ...
Paolo Rapisarda, Schaft, Arjan van der; id_orcid, van der Schaft, Arjan, Schaft, Arjan van der, Rapisarda, Paolo,, Arjan van der Schaft, Rapisarda, Paolo, Schaft, Arjan van der,   +7 more
core   +1 more source

On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate [PDF]

, 1973
summary:In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given.
Navarro, E., Eisenfeld, J, Jódar, Lucas
core   +1 more source

Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates

Advanced Science, EarlyView.
Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao, Yufei Liu, Ruixi Huang, Zhongxue Gan, Siyang Leng   +4 more
wiley   +1 more source