Results 231 to 240 of about 10,834,365 (253)

Polynomial approximations of the Lyapunov matrix of a class of time delay systems

IFAC Proceedings Volumes, 2009
Abstract A polynomial approximation of the Lyapunov matrix appearing in the complete type Lyapunov Krasovskii functionals associated to a class of retarded time delay systems is proposed. The results are concordant with the available semi-analytic solution.
E. Huesca, S. Mondié, O. Santos
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Instability conditions for linear time delay systems: a Lyapunov matrix function approach

International Journal of Control, 2011
Instability conditions for linear time delay systems of retarded type, with distributed delay, and of neutral type are given. The approach is based on using the converse results on the existence of special quadratics lower bounds for the Lyapunov–Krasovskii functional of complete type associated to these systems.
Sabine Mondié, Gilberto Ochoa, Blanca M. Ochoa   +2 more
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Hewer controllability and kalman controllability of lyapunov matrix periodic systems

i-manager’s Journal on Mathematics
This paper explores the relationship between Kalman Controllability (K-Controllability) and Hewer Controllability (H- Controllability) of Lyapunov Matrix periodic systems, which have extensive applications in cyber physical systems, power systems, robotics and the analysis and design of control systems.
M. S. V. D. Sudarsan, Sundaranand Putcha Venkata, G. V. S. R. Deekshitulu   +2 more
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Comments on "Second-ordern-dimensional systems and the Lyapunov matrix equation

IEEE Transactions on Automatic Control, 1972
The procedure of the above-mentioned correspondence item must be supplemented by additional algebraic equations to determine the required Lyapunov function uniquely.
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Uniform asymptotic stability of a singularly perturbed system via the Lyapunov matrix-function

Nonlinear Analysis: Theory, Methods & Applications, 1987
For the singularly perturbed system \[ (1)\quad \frac{dx}{dt}=f(t,x,y),\quad \mu \frac{dy}{dt}=g(t,x,y,\mu) \] a generalization of the direct Lyapunov method on the basis of the concept of matrix function is suggested. The application of matrix functions allows the author a) to extend the class of functions appropriate for the construction of a scalar ...
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Stability Analysis of Sampled-Data Systems via Free-Matrix-Based Time-Dependent Discontinuous Lyapunov Approach

IEEE Transactions on Automatic Control, 2017
Ju H. Park, Tae H Lee
exaly  

Lyapunov Matrices for Time-Delay Systems

Systems and Control Letters, 2006
V L Kharitonov
exaly  

A Common Lyapunov Function for Stable LTI Systems With Commuting A-Matrices

IEEE Transactions on Automatic Control, 1994
K S Narendra
exaly  

On Common Quadratic Lyapunov Functions for Pairs of Stable LTI Systems Whose System Matrices Are in Companion Form

IEEE Transactions on Automatic Control, 2003
K S Narendra
exaly  

Lyapunov Matrix Equation in System Stability and Control

1995
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