On stochastic stabilization via non-smooth control Lyapunov functions
نویسندگان
چکیده
منابع مشابه
Improvements on Non-Quadratic Stabilization of Takagi-Sugeno Models Via Line-Integral Lyapunov Functions
This paper introduces two different generalizations on non-quadratic stabilization of TakagiSugeno models via line-integral Lyapunov functions. Inspired in recent developments which have proved to relax the conservativeness in the quadratic framework via suitable matrix transformations, the results here provided outperform the existing ones for line-integral Lyapunov functions. Examples are pro...
متن کاملLinearly Solvable Stochastic Control Lyapunov Functions
This paper presents a new method for synthesizing stochastic control Lyapunov functions for a class of nonlinear stochastic control systems. The technique relies on a transformation of the classical nonlinear Hamilton–Jacobi–Bellman partial differential equation to a linear partial differential equation for a class of problems with a particular constraint on the stochastic forcing. This linear ...
متن کاملA piecewise smooth control-Lyapunov function framework for switching stabilization
This paper studies switching stabilization problems for general switched nonlinear systems. A piecewise smooth controlLyapunov function (PSCLF) approach is proposed and a constructive way to design a stabilizing switching law is developed. The switching law is constructed via the directional derivatives of the PSCLF with a careful discussion on various technical issues that may occur on the non...
متن کاملFeedback Stabilization and Lyapunov Functions
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given tolerance. A further result shows that suitable Lyapunov functions of this type exist under mild assumptions. We also establish a robustness property of the feedback relative to measurement error commensurate with the samplin...
متن کاملStabilization, Lyapunov functions, and dissipation
For linear time-invariant systems any stabilizing controller for a given plant can be associated with a supply rate with respect to which the plant in open-loop is half-line dissipative. We also prove the equivalence between stability of the interconnection of two systems and their half-line dissipativity with respect to a supply rate and its negative.
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: IEEE Transactions on Automatic Control
سال: 2022
ISSN: ['0018-9286', '1558-2523', '2334-3303']
DOI: https://doi.org/10.1109/tac.2022.3211986