Results 171 to 180 of about 3,365 (199)

Lyapunov Differential Equations and Inequalities for Stability and Stabilization of Linear Time-Varying Systems

Automatica, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin Zhou
exaly   +4 more sources

A Novel Solution to the Time-Varying Lyapunov Equation: The Integral Dynamic Learning Network

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2023
Zhijun Zhang, Lunan Zheng, Lihang Ye
exaly   +2 more sources

A Noise-Suppressing Newton-Raphson Iteration Algorithm for Solving the Time-Varying Lyapunov Equation and Robotic Tracking Problems

Information Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long Jin, Guancheng Wang, Dongyang Fu
exaly   +4 more sources

Stabilisation of Time-Varying Linear Systems via Lyapunov Differential Equations

International Journal of Control, 2013
This article studies stabilisation problem for time-varying linear systems via state feedback. Two types of controllers are designed by utilising solutions to Lyapunov differential equations. The first type of feedback controllers involves the unique positive-definite solution to a parametric Lyapunov differential equation, which can be solved when ...
Duan Guangren, Bin Zhou
exaly   +3 more sources

A Strict Control Lyapunov Function for a Diffusion Equation With Time-Varying Distributed Coefficients [PDF]

IEEE Transactions on Automatic Control, 2013
In this paper, a strict Lyapunov function is developed in order to show the exponential stability and input-to-state stability (ISS) properties of a diffusion equation for nonhomogeneous media. Such media can involve rapidly time-varying distributed diffusivity coefficients.
Emmanuel Witrant, Federico Bribiesca Argomedo   +1 more
exaly   +4 more sources

On the Solution of Generalized Lyapunov Equations for a Class of Continuous Bilinear Time-Varying Systems

Automation and Remote Control, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Igor B. Yadykin, Ivan A. Galyaev, Yuri A. Vershinin   +2 more
openaire   +2 more sources

ISS Lyapunov Functions for Time-Varying Hyperbolic Partial Differential Equations [PDF]

IEEE Conference on Decision and Control and European Control Conference, 2011
A family of time-varying hyperbolic systems of balance laws is considered. The partial differential equations of this family can be stabilized by selecting suitable boundary conditions. For the stabilized systems, the classical technique of construction of Lyapunov functions provides with a function which is a weak Lyapunov function in some cases, but ...
Christophe Prieur, Frederic Mazenc
exaly   +3 more sources

Finite-Time Zeroing Neural Networks With Novel Activation Function and Variable Parameter for Solving Time-Varying Lyapunov Tensor Equation

Applied Mathematics and Computation, 2023
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Lin Xiao, Zhaohui Qi, Yingqiang Ning
exaly   +2 more sources

A New Type of Recurrent Neural Networks for Real-Time Solution of Lyapunov Equation With Time-Varying Coefficient Matrices

Mathematics and Computers in Simulation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yunong Zhang, Chenfu Yi
exaly   +4 more sources

Lyapunov Spectrum of Linear Delay Differential Equations With Time-Varying Delay

IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2010
To understand the dynamics of systems with fluctuations in the retarded argument, the Lyapunov spectra of a scalar, linear delay differential equation (DDE) are studied. Depending on the structure of the deviated argument some Lyapunov exponents can be equal to minus infinity, which indicate the difference between the dimension of the state space and ...
Andreas Otto, Guenter Radons
exaly   +2 more sources