Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function [PDF]
Kybernetika, 2018 summary:In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for ...
Vijayakumar S. Muni, Raju K. George
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The stability analysis of systems with nonlinear feedback expressed by a quadratic program [PDF]
, 2006 We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP).
Lennox, B +5 more
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Lyapunov matrices approach to the parametric optimization of time-delay systems
Archives of Control Sciences, 2015 In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Józef
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Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the
Duda Jozef
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Solving stable generalized Lyapunov equations with the matrix sign function
Numerical Algorithms, 1999 Using the sign function method, the Lyapunov equation \(Q+ A^TXE+ E^TXA= O\), \(X= X^T\) is being studied. The eigenvalues of the pencil \(A-\lambda E\) are assumed to be contained in the open left-half plane. Several results from earlier studies with \(E= I\) are extended to the general case.
Peter Benner, Enrique S. Quintana-Ortí
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Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective [PDF]
Nonlinear Processes in Geophysics, 2019 The stability properties as characterized by the fluctuations of finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi-geostrophic atmospheric model with realistic mean state and variability.
F. Kwasniok
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LPV systems with unstable subsystems: A single Lyapunov function solution to stabilizing switching laws [PDF]
, 2013 Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 2013 IEEE International Conference on System Science and Engineering (ICSSE) 4-6 July 2013, Budapest, HungaryThis investigation presents a synthesis solution for stabilizing switching laws ...
Dimirovski, Georgi M. +5 more
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Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function [PDF]
International Applied Mechanics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, J.F., Wang, X.L.
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Continuous Uniform Finite Time Stabilization of Planar Controllable Systems [PDF]
, 2015 Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances.
Oza, HB +5 more
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Guaranteed Cost Control for a Class of Nonlinear Discrete Time-Delay Systems
IEEE Access, 2019 The guaranteed cost control problem for a class of nonlinear discrete time-delay systems is investigated. Based on the Lyapunov matrix, a complete-type Lyapunov-Krasovskii functional is constructed.
Lanhui Zhang +3 more
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