Results 211 to 220 of about 28,272 (248)

Exponential input-to-state stability of delay Korteweg–de Vries–Burgers equations

Communications in Nonlinear Science and Numerical Simulation, 2023
In the paper there is considered the delayed Korteweg-de Vries-Burgers equation and an associated controlled initial boundary value problem \[ \displaylines{ \displaystyle{z_t = \varepsilon z_{xx} - \delta z_{xxx} + \xi z(x,t-\tau(t))-zz_x + v(x,t)\;,\;0\leq x\leq 1}\cr \displaystyle{z(x,t)=\varphi(x,t)\;,\;-\tau\leq t\leq 0}\cr \displaystyle{z(0,t)=z ...
Deqiong Ding, Kai-Ning Wu
exaly   +3 more sources

Exponential input-to-state stability of stochastic delay reaction–diffusion neural networks

Neurocomputing, 2020
Abstract This paper considers the mean square exponential input-to-state stability (EISS) for stochastic delay reaction–diffusion neural networks (SDRDNNS). SDRDNNS with distributed input and boundary input are investigated. In addition, constant delay and time-varying delay are considered.
Liu Xiaozhen, Kai-Ning Wu
exaly   +2 more sources

Mean-square exponential input-to-state stability of stochastic delayed neural networks

Neurocomputing, 2014
In this paper, we focus on the stability problem for a class of stochastic delayed recurrent neural networks. Different from the traditional stability criteria, we introduce and study a new stability criterion: the mean-square exponential input-to-state stability.
Shenghong Li, Jinde Cao
exaly   +2 more sources

Exponential input-to-state stability of quaternion-valued neural networks with time delay

Applied Mathematics and Computation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haibo Bao, Jinde Cao
exaly   +3 more sources

Exponential input-to-state stability of reaction-diffusion systems

2019 34rd Youth Academic Annual Conference of Chinese Association of Automation (YAC), 2019
Exponential input-to-state stability (ISS) is an interesting topic and has been paid much attention for the finite-dimensional system. The criterion of exponential ISS for reaction-diffusion systems (RDSs), an infinite dimensional system, is investigated in this paper. Both cases of RDSs with distributed input and boundary input are considered.
Kai-Ning Wu
exaly   +2 more sources

Mean-square exponential input-to-state stability for neutral stochastic neural networks with mixed delays

Neurocomputing, 2016
This paper is concerned with the input-to-state stability problem of a class of neutral stochastic neural networks. The stochastic neural networks that we consider contain both neutral terms and mixed delays. By utilizing the Lyapunov-Krasovskii functional method, stochastic analysis techniques and It o ^ 's formula, some sufficient conditions are ...
Wen Sun, Yinfang Song
exaly   +2 more sources

Exponential input-to-state stability of non-linear reaction–diffusion systems with Markovian switching

Nonlinear Analysis: Hybrid Systems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kai-Ning Wu, Xin-Xin Han
exaly   +2 more sources

Stabilization to Exponential Input-to-State Stability via Aperiodic Intermittent Control

IEEE Transactions on Automatic Control, 2021
This article studies the stabilization to exponential input-to-state stability (ISS) via aperiodic intermittent control (APIC) for continuous-time systems. The stabilization is formulated as a problem of minimum activation time rate (MATR) of nontrivial APIC.
Bin Liu 0003, Meng Yang 0015, Tao Liu 0012, David J. Hill 0001   +3 more
openaire   +1 more source

Exponential input‐to‐state stabilization of semilinear systems via intermittent control

International Journal of Robust and Nonlinear Control, 2022
AbstractThis paper is concerned with the exponential input‐to‐state stabilization of semilinear systems via aperiodically intermittent control and aperiodically intermittent sampled‐data control, respectively. The aperiodically intermittent control is characterized from the average sense.
Ying Guo, Shuang Wang, Zhaohui Duan, Pengfei Wang   +3 more
openaire   +1 more source

Input-to-State Stability and exponential stability for time-delay systems: further results

2007 46th IEEE Conference on Decision and Control, 2007
The main contribution of this paper is to establish a link between the exponential stability of an unforced system and the input-to-state stability (ISS) via the Liapunov-Krasovskii methodology. It is proved that a system which is (globally, locally) exponentially stable in the unforced case is (globally, locally) input-to-state stable when it is ...
Nima Yeganefar, Pierdomenico Pepe, Michel Dambrine   +2 more
openaire   +1 more source