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Applications of Lyapunov and T-Lyapunov equations in mechanics
2014This paper considers Lyapunov and T-Lyapunov matrix equations. Lyapunov equation is a matrix equation of the form AX + XA^T = E which plays a vital role in a number of applications, while T-Lyapunov equation is a matrix equation of the form AX +X^TA^T = E.
Kuzmanović Ivičić, Ivana +2 more
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A multiple lyapunov function approach to stabilization of fuzzy control systems
IEEE Transactions on Fuzzy Systems, 2003Hua O Wang
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On constructing Lyapunov functions for multi-agent systems
Automatica, 2015Hongwei Zhang, Zhongkui Li, Zhihua Qu
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Communications in Nonlinear Science and Numerical Simulation, 2015
Manuel A Duarte-Mermoud +2 more
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Manuel A Duarte-Mermoud +2 more
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On the Lyapunov theorem for singular systems
IEEE Transactions on Automatic Control, 2002João Y Ishihara
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The nature of Lyapunov exponents is (+, +, −, −). Is it a hyperchaotic system?
Chaos, Solitons and Fractals, 2016, B K Roy
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A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
Automatica, 1996Zhong-Ping Jiang, Iven Mareels
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Lyapunov functions for fractional order systems
Communications in Nonlinear Science and Numerical Simulation, 2014Norelys Aguila-Camacho +2 more
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Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
Nonlinear Dynamics, 2016N V Kuznetsov, T A Alexeeva, G A Leonov
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