A comparison of three methods of constructing Lyapunov functions

摘要: Abstract Chetayev's effective method [1] for constructing Lyapunov functions in the form of a set first integrals equations perturbed motion has been widely used since 1950s Russia. In 1980s energy-Casimir [2] was developed U.S.A. as well energy-momentum [3], employed Hamiltonian systems. A comparison these methods systems with finite number degrees freedom shown that is more complicated version method, while essentially Routh-Lyapunov [4,5], stated modern geometrical language. Some examples are considered.