作者：
Kruglov, Vladislav E.Malyshev, Dmitry S.Pochinka, Olga V.HSE Campus in Nizhny Novgorod
Faculty of Informatics Mathematics and Computer Science Laboratory of Topological Methods in Dynamics. Trainee Researcher Lobachevsky State University of Nizhny Novgorod Institute ITMM Department of Mathematical Physics Optimal Control Master’s HSE Campus in Nizhny Novgorod
Laboratory of Algorithms and Technologies for Networks Analysis. Leading Research Fellow HSE Campus in Nizhny Novgorod Faculty of Informatics Mathematics and Computer Science Department of Applied Mathematics and Informatics Lobachevsky State University of Nizhny Novgorod Institute ITMM Department of Algebra Geometry and Discrete Mathematics HSE Campus in Nizhny Novgorod
Faculty of Informatics Mathematics and Computer Science Department of Fundamental Mathematics Department Head. HSE Campus in Nizhny Novgorod Faculty of Informatics Mathematics and Computer Science Laboratory for Topological Methods in Dynamics. Laboratory
Structurally stable (rough) flows on surfaces have only finitely many singularities and finitely many closed orbits, all of which are hyperbolic, and they have no trajectories joining saddle points. The violation of t...
详细信息
We present a Lyapunov theorem for systems that are not locally Lipschitz. The Lyapunov function used is only nonnegative semidefinite instead of positive definite.
We present a Lyapunov theorem for systems that are not locally Lipschitz. The Lyapunov function used is only nonnegative semidefinite instead of positive definite.
This paper gives a new generalization of Lyapunov theorems. Tt shows how to explore the stability properties of a given system by using a Lyapunov function which is nonnegative semidefinite, rather than positive defin...
详细信息
This paper gives a new generalization of Lyapunov theorems. Tt shows how to explore the stability properties of a given system by using a Lyapunov function which is nonnegative semidefinite, rather than positive definite. Several examples and an application to the algebraic Riccati Equation are given to illustrate the new approach.
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