Optimum Lyapunov functions
Copyright policy )Optimum Lyapunov functions
This is an interesting paper in the spirit of the Russian school in stability theory which considers the problem of finding an ``optimal'' Lyapunov function for a linear autonomous differential equation. Various optimality criteria are formulated and finding the corresponding Lyapunov functions is reduced to optimization problems: a two-person game or a primal-dual pair of linear programs. The method applies to discrete and stochastic systems as well.
- New York Institute of Technology Canada
- New York Institute of Technology United States
Lyapunov function, optimization problems, Linear programming, Lyapunov and storage functions, linear autonomous, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, 2-person games
Lyapunov function, optimization problems, Linear programming, Lyapunov and storage functions, linear autonomous, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, 2-person games
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