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Applications of Lyapunov and T-Lyapunov equations in mechanics

2014
This 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
openaire   +1 more source

A multiple lyapunov function approach to stabilization of fuzzy control systems

IEEE Transactions on Fuzzy Systems, 2003
Hua O Wang
exaly  

On constructing Lyapunov functions for multi-agent systems

Automatica, 2015
Hongwei Zhang, Zhongkui Li, Zhihua Qu
exaly  

Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems

Communications in Nonlinear Science and Numerical Simulation, 2015
Manuel A Duarte-Mermoud   +2 more
exaly  

On the Lyapunov theorem for singular systems

IEEE Transactions on Automatic Control, 2002
João Y Ishihara
exaly  

Lyapunov functions for fractional order systems

Communications in Nonlinear Science and Numerical Simulation, 2014
Norelys Aguila-Camacho   +2 more
exaly  

Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations

Nonlinear Dynamics, 2016
N V Kuznetsov, T A Alexeeva, G A Leonov
exaly  

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