Results 191 to 200 of about 5,561 (210)

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
openaire   +1 more source

Absolute stability of a singularly perturbed Lur'e system and Lyapunov's matrix function

Soviet Applied Mechanics, 1987
In this paper [which is a continuation of the first author's article in e.g.: Dokl. Akad. Nauk SSSR 287, 786-789 (1986; Zbl 0611.34047)] the stability of a singularly perturbed system of the Lur'e form is analyzed on the basis of the Lyapunov matrix function (LMF). We obtain sufficient conditions for the absolute stability of a system of the Lur'e form
Martynyuk, A. A., Miladzhanov, V. G.
openaire   +2 more sources

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.
openaire   +1 more source

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
openaire   +1 more source

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 ...
openaire   +2 more sources

Lyapunov Matrix-Based Method to Guaranteed Cost Control for A Class of Delayed Continuous-Time Nonlinear Systems

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
Xin Yang, Xian Zhang
exaly  

Stability Analysis of Sampled-Data Systems via Free-Matrix-Based Time-Dependent Discontinuous Lyapunov Approach

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

H/sub /spl infin// controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities

IEEE Transactions on Fuzzy Systems, 2005
Gang Feng, Dong Sun
exaly  

Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems

Automatica, 2019
Marco A Gomez, Alexey V Egorov, Sabine Mondie   +2 more
exaly  

On stability analysis of 2-D systems based on 2-D Lyapunov matrix inequalities

IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2000
T Ooba
exaly