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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   +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

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
Xian Zhang, Xin Yang, Yantao Wang
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  

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