Almost sure exponential stability and stochastic stabilization of stochastic differential systems with impulsive effects

P Cheng, F Deng, F Yao - Nonlinear Analysis: Hybrid Systems, 2018 - Elsevier
This paper focuses on the problem of almost sure exponential stability and stochastic
stabilization of nonlinear stochastic differential systems with impulsive effects. The moment …

Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses

P Cheng, F Deng, F Yao - … in Nonlinear Science and Numerical Simulation, 2014 - Elsevier
This paper is concerned with the exponential stability analysis of impulsive stochastic
functional differential systems with delayed impulses. Although the stability of impulsive …

Incremental stability of stochastic time‐varying impulsive and switching systems

T Jiao, G Zong, JH Park, J Liu… - International Journal of …, 2021 - Wiley Online Library
In this article, the incremental stability problem is addressed for stochastic time‐varying
impulsive and switching systems. Both cases of stable continuous subsystems with …

Backstepping design for incremental stability of stochastic Hamiltonian systems with jumps

P Jagtap, M Zamani - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
Incremental stability is a property of dynamical systems ensuring the uniform asymptotic
stability of each trajectory rather than a fixed equilibrium point or trajectory. Here, we …

Incremental (Q, S, R)-dissipativity and incremental stability for switched nonlinear systems

H Pang, J Zhao - Journal of the Franklin Institute, 2016 - Elsevier
This paper investigates incremental (Q, S, R)-dissipativity and incremental stability for
switched nonlinear systems whose subsystems are not required to be incrementally (Q, S …

A Hukuhara approach to the study of hybrid fuzzy systems on time scales

OS Fard, DFM Torres, MR Zadeh - Applicable Analysis and Discrete …, 2016 - JSTOR
We introduce a new approach to study the practical stability of hybrid fuzzy systems on time
scales in the Lyapunov sense. Our method is based on the delta-Hukuhara derivative for …

Incremental stability of switched non‐linear systems

H Yang, B Jiang - IET Control Theory & Applications, 2016 - Wiley Online Library
This study considers incremental stability problem of switched non‐linear systems with each
mode being local incrementally asymptotically stable. A new concept named 'steady‐state …

Exponentially incremental dissipativity for nonlinear stochastic switched systems

Y Ren, W Wang, Y Wang, W Zhou - International Journal of Control, 2020 - Taylor & Francis
In this paper, we investigate the exponentially incremental dissipativity for nonlinear
stochastic switched systems by using the designed state-dependent switching law and …

Mixed Incremental H and Incremental Passivity Analysis for Markov Switched Stochastic Nonlinear Systems

Y Ren, X Wang, L Wang, Y Yang - IEEE Access, 2021 - ieeexplore.ieee.org
This paper introduces the mixed incremental and incremental passivity control problem for
Markov switched stochastic (MSS) nonlinear systems. The multiple incremental Lyapunov …

Exponentially incremental (Q, S, R)-dissipativity and incremental stability for switched time-varying nonlinear systems

Y Ren, W Wang, Y Wang - International Journal of Systems …, 2017 - Taylor & Francis
ABSTRACT Exponentially incremental (Q, S, R)-dissipativityand incremental stability for
switched time-varying nonlinear systems are studied whose subsystems are not required to …