Smooth Lyapunov Functions for Multistable Differential Inclusions
نویسندگان
چکیده
منابع مشابه
Computing Lyapunov functions for strongly asymptotically stable differential inclusions
We present a numerical algorithm for computing Lyapunov functions for a class of strongly asymptotically stable nonlinear differential inclusions which includes switched systems and systems with uncertain parameters. The method relies on techniques from nonsmooth analysis and linear programming and leads to a piecewise affine Lyapunov function. We provide a thorough analysis of the method and p...
متن کاملSet-valued Lyapunov functions for difference inclusions
The paper relates set-valued Lyapunov functions to pointwise asymptotic stability in systems described by a difference inclusion. Pointwise asymptotic stability of a set is a property which requires that each point of the set be Lyapunov stable and that every solution to the inclusion, from a neighborhood of the set, be convergent and have the limit in the set. Weak set-valued Lyapunov function...
متن کاملOn the Robustness of KL-stability for Difference Inclusions: Smooth Discrete-Time Lyapunov Functions
We consider stability with respect to two measures of a difference inclusion, i.e., of a discrete-time dynamical system with the push-forward map being set-valued. We demonstrate that robust stability is equivalent to the existence of a smooth Lyapunov function and that, in fact, a continuous Lyapunov function implies robust stability. We also present a sufficient condition for robust stability...
متن کاملLyapunov Functions for Differential Inclusions and Applications in Physics, Biology, and Climatology
We investigate additional regularity properties of all globally definedweak solutions, their global and trajectory attractors for classes of semi-linear parabolic differential inclusions with initial data from the natural phase space. The main contributions in this note are: (i) sufficient conditions for the existence of a Lyapunov function for a class of parabolic feedback control problems; (i...
متن کاملR-composition of quadratic Lyapunov functions for stabilizability of linear differential inclusions
A novel state feedback control technique to stabilise linear differential inclusions through composite quadratic Lyapunov functions is presented. By using a gradient-based control technique, the minimum effort control is composed through intersection and union operations, derived from the theory of R-functions. While conventional min and max compositions are recovered as a special case, it is s...
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: IFAC-PapersOnLine
سال: 2017
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2017.08.334