Results 171 to 180 of about 695 (203)

Applications of a family of lyapunov functions

Journal of Applied Mathematics and Mechanics, 2000
The author considers the perturbed motion equations in the form \[ \begin{aligned} &A_1(x_1,\dot x_1,x_2,t)\ddot x_1 = B_1(x_1,\dot x_1,x_2,t);\\ &N_1(x_1,\dot x_1,x_2,t)\ddot x_2 = K_1(x_1,\dot x_1,x_2,t), \end{aligned}\tag{1} \] where \(A_1\) and \(N_1\) are \((n\times n)\)- and \((m\times m)\)-matrices, \(x_1\) and \(B_1\) are \(n\)-dimensional ...
openaire   +2 more sources

The problem of constructing a lyapunov function

Journal of Applied Mathematics and Mechanics, 1985
An algorithm which, for a wide class of problems, enables a Lyapunov function with a negative-sign derivative to be reconstructed as a Lyapunov function with a negative-definite derivative, is proposed. This algorithm supplements the well-known method of reconstructing a Lyapunov function. Examples are considered.
openaire   +1 more source

Complete type Lyapunov functionals for integral delay systems with multiple delays

International Journal of Robust and Nonlinear Control, 2022
Daniel Alejandro Melchor Aguilar
exaly  

Lyapunov functionals for linear continuous-time difference systems: A single delay case

Systems and Control Letters, 2023
Daniel Alejandro Melchor Aguilar
exaly  

Vector Lyapunov Functions

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1962
openaire   +1 more source

On the construction of Lyapunov functions. I

The author studies vector fields on finite-dimensional smooth manifolds. To construct a Lyapunov function related to an equilibrium of a vector field, he uses the concept of `pilot function' introduced by him in [Autom. Remote Control 61, No. 4, Part 1, 585--594 (2000); translation from Avtom. Telemekh. 2000, No. 4, 51--60 (2000; Zbl 1060.34505)].
openaire   +2 more sources

Approximations of Lyapunov functionals for ISS analysis of a class of higher dimensional nonlinear parabolic PDEs

Automatica, 2021
Guchuan Zhu, Jun Zheng
exaly  

Construction of Lyapunov functionals for delay differential equations in virology and epidemiology

Nonlinear Analysis: Real World Applications, 2012
Tsuyoshi Kajiwara
exaly  

Lyapunov Functions

1987
openaire   +1 more source

Lyapunov functions

2023
openaire   +1 more source