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Lyapunov function
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Lyapunov function [lē′ap·ə‚nȯf ‚fəŋk·shən]
(mathematics)
A function of a vector and of time which is positive-definite and has a negative-definite derivative with respect to time for nonzero vectors, is identically zero for the zero vector, and approaches infinity as the norm of the vector approaches infinity; used in determining the stability of control systems. Also spelled Liapunov function.
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Gantert and Muller (2006) proved that a critical branching random walk (BRW) on the integer lattice is transient by analyzing this problem within the more general framework of branching Markov chains and making use of Lyapunov functions.
A note on the transience of critical branching random walks on the ... by Alsmeyer, Gerold; Meiners, Matthias / DMTCS Proceedings
Abstract Nonnegative definite Lyapunov functions are employed to obtain sufficient conditions that guarantee boundedness of solutions of a nonlinear differential system.
Boundedness and exponential asymptotic stability in dynamical systems ... by Raffoul, Youssef N. / Advances in Dynamical Systems and Applications
Russia) analyze such sets using absolute stability theory, particularly the Lyapunov functions technique with the functions chosen from a certain given class.
Stability of Stationary Sets in Control Systems with Discontinuous ... by SciTech Book News
 
 
 
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