Convergence in perturbed nonlinear systems
نویسندگان
چکیده
منابع مشابه
Convergence of Nonlinear Filters for Randomly Perturbed Dynamical Systems∗
We establish convergence of the nonlinear filter of the state of a randomly perturbed dynamical system in which the perturbation is a rapidly fluctuating ergodic Markov process, and the observation process conditions the state of the system. The limiting nonlinear filter is completely characterized.
متن کاملConstruction of strict Lyapunov function for nonlinear parameterised perturbed systems
In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.
متن کاملconstruction of strict lyapunov function for nonlinear parameterised perturbed systems
in this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using lyapunov techniques. the system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. some examples in dimensional two are given to illustrate theapplicability of the main results.
متن کاملStochastic Stability of Singularly Perturbed Nonlinear Systems
The stability of a nonlinear stochastic dynamic system with singular perturbations is considered. Based on the notion of stochastic input-to-state stability and using time scale decomposition, a result of the total stability type is obtained, i.e. if the fast subsystem and the slow subsystem are both input-to-state stable with respect to disturbances, then this property continues to hold for th...
متن کاملLarge Fluctuations in Stochastically Perturbed Nonlinear Systems: Applications in Computing
Nonlinear dynamical systems often display complex behavior. In this lecture I shall review the behavior of stochastically perturbed dynamical systems, which is a field of its own. I shall use this as an opportunity to discuss applications to computer science, though applications to statistical physics, chemical physics, and elsewhere in the sciences are also numerous. If a deterministic dynamic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1972
ISSN: 0040-8735
DOI: 10.2748/tmj/1178241444