An application of fixed point technique of Rothe's-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system

PKL Priya, K Kaliraj - Chaos, Solitons & Fractals, 2022 - Elsevier
The novel findings of this research utilizes Rothe's fixed point technique to examine the
relative controllability of neutral impulsive nonlinear differential system of arbitrary order …

Impulsive semilinear heat equation with delay in control and in state

O Camacho, H Leiva - Asian Journal of Control, 2020 - Wiley Online Library
In this paper, we prove the interior approximate controllability of the impulsive semilinear
heat equation with delay in control and in state by proving first that the linear heat equation …

[HTML][HTML] The pth moment exponential ultimate boundedness of impulsive stochastic differential systems

L Xu, SS Ge - Applied Mathematics Letters, 2015 - Elsevier
In this paper, we investigate the global p th moment exponential ultimate boundedness of
impulsive stochastic differential systems. Using Lyapunov functions and algebraic inequality …

Approximate controllability of non-instantaneous impulsive stochastic evolution systems driven by fractional Brownian motion with Hurst parameter H∈(0, 1 2)

J Liu, W Wei, W Xu - Fractal and Fractional, 2022 - mdpi.com
This paper initiates a study on the existence and approximate controllability for a type of non-
instantaneous impulsive stochastic evolution equation (ISEE) excited by fractional Brownian …

Controllability criteria on discrete-time impulsive hybrid systems with input delay

J Yan, B Hu, ZH Guan - IEEE Transactions on Systems, Man …, 2022 - ieeexplore.ieee.org
Due to the importance of the hybrid systems, the controllability for linear discrete-time
impulsive hybrid systems with input delay (DIHSID) is investigated by resorting to the …

Controllability of nonlinear impulsive and switching systems with input delay

J Yan, B Hu, ZH Guan - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
In this article, the controllability is investigated for nonlinear impulsive and switching systems
with input delay. Using the fixed point method, two controllability conditions are developed …

On the controllability of nonlocal second‐order impulsive neutral stochastic integro‐differential equations with infinite delay

DD Huan - Asian Journal of Control, 2015 - Wiley Online Library
In this paper, we investigate the controllability for a class of nonlocal second‐order impulsive
neutral stochastic integro‐differential equations with infinite delay in Hilbert spaces. More …

[PDF][PDF] Controllability of nonlinear stochastic systems with multiple time-varying delays in control

S Karthikeyan, K Balachandran… - International Journal of …, 2015 - intapi.sciendo.com
This paper is concerned with the problem of controllability of semi-linear stochastic systems
with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions …

Robust stochastic stability of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises

Y Zhang, C Wang - International Journal of Systems Science, 2015 - Taylor & Francis
In this paper, the robust stochastic stability is investigated for a class of uncertain discrete-
time impulsive Markovian jump delay systems with multiplicative noises. Using the method …

Integral sliding mode control for uncertain impulsive stochastic systems

L Song, Y Li, S Tong - European Journal of Control, 2024 - Elsevier
This paper studies the integral sliding mode control (ISMC) for uncertain impulsive
stochastic systems. An ISMC law is proposed by designing a new integral sliding surface …