Stability analysis for stochastic hybrid systems: A survey

AR Teel, A Subbaraman, A Sferlazza - Automatica, 2014 - Elsevier
This survey addresses stability analysis for stochastic hybrid systems (SHS), which are
dynamical systems that combine continuous change and instantaneous change and that …

Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form

H Wang, Q Zhu - Automatica, 2015 - Elsevier
This paper deals with the problem of finite-time stabilization for a class of high-order
stochastic nonlinear systems in strict-feedback form. By using It ô's formula, mathematical …

[BOOK][B] Finite-time stability and control

F Amato, R Ambrosino, M Ariola, C Cosentino… - 2014 - Springer
In the last fifteen years a great effort has been spent by control researchers to investigate the
finite-time control problem for dynamical systems. The main objective of this book is that of …

Finite-time stability theorem of stochastic nonlinear systems

W Chen, LC Jiao - Automatica, 2010 - Elsevier
A new concept of finite-time stability, called stochastically finite-time attractiveness, is
defined for a class of stochastic nonlinear systems described by the Itô differential equation …

Finite-time stability and stabilization of Itô stochastic systems with Markovian switching: Mode-dependent parameter approach

Z Yan, W Zhang, G Zhang - IEEE Transactions on Automatic …, 2014 - ieeexplore.ieee.org
This technical note is concerned about the finite-time stability and stabilization for Itô
stochastic systems with Markovian switching. A mode-dependent parameter approach is …

Finite-Time Fuzzy Control of Nonlinear Jump Systems With Time Delays Via Dynamic Observer-Based State Feedback

S He, F Liu - IEEE Transactions on Fuzzy Systems, 2011 - ieeexplore.ieee.org
This paper studies the finite-time H∞ control problem for time-delay nonlinear jump systems
via dynamic observer-based state feedback by the fuzzy Lyapunov-Krasovskii functional …

Finite-time stabilization and optimal feedback control

WM Haddad, A L'Afflitto - IEEE Transactions on Automatic …, 2015 - ieeexplore.ieee.org
Finite-time stability involves dynamical systems whose trajectories converge to an
equilibrium state in finite time. Since finite-time convergence implies nonuniqueness of …

Robust finite-time H∞ control of singular stochastic systems via static output feedback

Y Zhang, C Liu, X Mu - Applied Mathematics and Computation, 2012 - Elsevier
This paper addresses the problem of robust finite-time stabilization of singular stochastic
systems via static output feedback. Firstly, sufficient conditions of singular stochastic finite …

Finite-time regional verification of stochastic non-linear systems

J Steinhardt, R Tedrake - The International Journal of …, 2012 - journals.sagepub.com
Recent trends pushing robots into unstructured environments with limited sensors have
motivated considerable work on planning under uncertainty and stochastic optimal control …

Finite-time filtering for switched linear systems with a mode-dependent average dwell time

J Cheng, H Zhu, S Zhong, F Zheng, Y Zeng - Nonlinear Analysis: Hybrid …, 2015 - Elsevier
This study considers the problem of finite-time filtering for switched linear systems with a
mode-dependent average dwell time. By introducing a newly augmented Lyapunov …