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Absolute stability of a singularly perturbed Lur'e system and Lyapunov's matrix function
Soviet Applied Mechanics, 1987In 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.
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IEEE transactions on fuzzy systems, 2019
In this paper, sampled-data control is proposed to stabilize the nonlinear system, which is expressed as a Takagi–Sugeno (T–S) fuzzy submodels. Based on suitable Lyapunov– Krasovskii functional (LKF) along with new weighted integral inequalities, the ...
N. Gunasekaran, Y. Joo
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In this paper, sampled-data control is proposed to stabilize the nonlinear system, which is expressed as a Takagi–Sugeno (T–S) fuzzy submodels. Based on suitable Lyapunov– Krasovskii functional (LKF) along with new weighted integral inequalities, the ...
N. Gunasekaran, Y. Joo
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Stability and the matrix Lyapunov equation for differential systems with delays
[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 2005The author establishes sufficient conditions for the stability of linear and time-variant delay differential systems including their various usual subclasses (i.e., point, distributed, and mixed point-distributed delay systems). Sufficient conditions for stability are obtained in terms of the Schur complement of operators and the frequency-domain ...
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Comments on "Second-ordern-dimensional systems and the Lyapunov matrix equation
IEEE Transactions on Automatic Control, 1972The 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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Necessary Stability Conditions for One Delay Systems: A Lyapunov Matrix Approach
2014Necessary conditions for the exponential stability of one delay linear systems are proved. These conditions depend exclusively on the Lyapunov matrix of the delay system, thus improving previous results which were expressed not only in terms of the Lyapunov matrix, but also on system matrices. They are obtained via the substitution of a special initial
Carlos Cuvas +3 more
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Uniform asymptotic stability of a singularly perturbed system via the Lyapunov matrix-function
Nonlinear Analysis: Theory, Methods & Applications, 1987For 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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On Psi-conditional asymptotic stability of first order nonlinear matrix Lyapunov system
2013We provide necessary and sucient conditions for psi-conditional as-ymptotic stability of the solution of a linear matrix Lyapunov system and sucientconditions for psi -conditional asymptotic stability of the solution of a rst ordernon-linear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).
SURESH KUMAR, G. +2 more
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IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
Xin Yang, Xian Zhang, Xian Zhang
exaly
Xin Yang, Xian Zhang, Xian Zhang
exaly