Results 221 to 230 of about 742,320 (261)
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H∞ control of periodic piecewise polynomial time-varying systems with polynomial Lyapunov function
Journal of the Franklin Institute, 2019In this paper, the H∞ control problem of periodic piecewise systems with polynomial time-varying subsystems is addressed. Based on a periodic Lyapunov function with a continuous time-dependent Lyapunov matrix polynomial, the H∞ performance is studied ...
Panshuo Li +4 more
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IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018
This paper presents interval type-2 fuzzy-based sampled-data controller for nonlinear systems using novel fuzzy Lyapunov functional. To do this, a type-2 fuzzy model is adapted for the nonlinear systems and a type-2 fuzzy-based sampled-data controller is
Lakshmanan Shanmugam, Y. Joo
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This paper presents interval type-2 fuzzy-based sampled-data controller for nonlinear systems using novel fuzzy Lyapunov functional. To do this, a type-2 fuzzy model is adapted for the nonlinear systems and a type-2 fuzzy-based sampled-data controller is
Lakshmanan Shanmugam, Y. Joo
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Neurocomputing, 2018
This paper is concerned with the problem of the stability and stabilization for continuous-time Takagi–Sugeno(T–S) fuzzy systems with time delay. A novel Lyapunov–Krasovskii functional which includes fuzzy line-integral Lyapunov functional and membership-
Xin Zhao +3 more
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This paper is concerned with the problem of the stability and stabilization for continuous-time Takagi–Sugeno(T–S) fuzzy systems with time delay. A novel Lyapunov–Krasovskii functional which includes fuzzy line-integral Lyapunov functional and membership-
Xin Zhao +3 more
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Analytical construction of the hierarchical matrix Lyapunov function for impulse systems
Ukrainian Mathematical Journal, 1997See the review in Zbl 0887.93062.
Martynyuk, A. A., Begmuratov, K. A.
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The Lyapunov matrix function and the stability of hybrid systems
Soviet Applied Mechanics, 1985The purpose of the present article is to solve the problem of the stability of the equilibrium state of a hybrid (complex) system \(\Sigma\) consisting of a number of rigid, elastic, and liquid substances, related by connecting functions. The subsystems include both stable and unstable ones and the stability of the equilibrium state of the entire ...
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Estimate for the root-location of linear systems via the lyapunov matrix equation
Journal of the Franklin Institute, 1982Abstract It is well known that the Lyapunov matrix equation can be utilized to obtain the estimate for the transient behavior of linear constant systems. This paper shows that the equation gives information not only on the maximum real part of the characteristic roots of system matrix but also on other extremal values to these roots.
Mori, Takehiro +2 more
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Applied Mathematics and Computation, 2019
This paper focuses on the delay-dependent stability problem of time-varying delay systems. A generalized free-matrix-based integral inequality (GFMBII) is presented.
Hongbing Zeng, Xiao-Gui Liu, Wei Wang
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This paper focuses on the delay-dependent stability problem of time-varying delay systems. A generalized free-matrix-based integral inequality (GFMBII) is presented.
Hongbing Zeng, Xiao-Gui Liu, Wei Wang
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Journal of the Franklin Institute, 2019
This paper addresses the delay-dependent stability problem of linear systems with interval time-varying delays. A generalized free-matrix-based inequality is proposed and employed to derive stability conditions, which are less conservative than the ...
Hongbing Zeng +3 more
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This paper addresses the delay-dependent stability problem of linear systems with interval time-varying delays. A generalized free-matrix-based inequality is proposed and employed to derive stability conditions, which are less conservative than the ...
Hongbing Zeng +3 more
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Hewer controllability and kalman controllability of lyapunov matrix periodic systems
i-manager’s Journal on MathematicsThis 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
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Automatica
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexandrova, Irina V. +1 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexandrova, Irina V. +1 more
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