Results 1 to 10 of about 28,272 (248)
Exponential input‐to‐state stability of delay reaction‐diffusion systems [PDF]
IET Control Theory & Applications, 2021 This brief paper considers the exponential input‐to‐state stability (EISS) for delay reaction‐diffusion systems (DRDSs). The distributed input and boundary input are both included in the considered model. Boundary input is an important characteristic for
Meng‐Zhen Ren +2 more
doaj +2 more sources
Mean-square exponential input-to-state stability of stochastic inertial neural networks [PDF]
Advances in Difference Equations, 2021 By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state ...
Wentao Wang, Wei Chen
doaj +3 more sources
Stabilization to Exponential Input-to-State Stability of a Class of Neural Networks with Delay by Observer-Based Aperiodic Intermittent Control [PDF]
Discrete Dynamics in Nature and Society, 2021 This study is devoted to investigating the stabilization to exponential input-to-state stability (ISS) of a class of neural networks with time delay and external disturbances under the observer-based aperiodic intermittent control (APIC).
Mengyue Li, Biwen Li, Yuan Wan
doaj +2 more sources
The exponential input-to-state stability property: characterisations and feedback connections
Mathematics of Control, Signals, and Systems, 2023 AbstractThe exponential input-to-state stability (ISS) property is considered for systems of controlled nonlinear ordinary differential equations. A characterisation of this property is provided, including in terms of a so-called exponential ISS Lyapunov function and a natural concept of linear state/input-to-state $$L^2$$
Chris Guiver, Logemann Hartmut
exaly +3 more sources
Exponential input-to-state stability of recurrent neural networks with multiple time-varying delays. [PDF]
Cogn Neurodyn, 2014 In this paper, input-to-state stability problems for a class of recurrent neural networks model with multiple time-varying delays are concerned with. By utilizing the Lyapunov-Krasovskii functional method and linear matrix inequalities techniques, some sufficient conditions ensuring the exponential input-to-state stability of delayed network systems ...
Yang Z, Zhou W, Huang T.
europepmc +4 more sources
Mathematics, 2020 In this paper, we study the mean-square exponential input-to-state stability (exp-ISS) problem for a new class of neural network (NN) models, i.e., continuous-time stochastic memristive quaternion-valued neural networks (SMQVNNs) with time delays ...
Usa Humphries +6 more
doaj +3 more sources
Input-to-State Stability of Time-Delay Systems: A Link With Exponential Stability [PDF]
IEEE Transactions on Automatic Control, 2008 The main contribution of this technical note 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
Pierdomenico Pepe, Michel Dambrine
exaly +3 more sources
Mean-square exponential input-to-state stability of stochastic recurrent neural networks with multi-proportional delays [PDF]
Neurocomputing, 2017 This paper investigates mean-square exponential input-to-state stability of stochastic recurrent neural networks with multi-proportional delays. Here, we study the proportional delay, which is a kind of unbounded time-varying delay in stochastic recurrent neural networks, by employing Lyapunov-Krasovskii functional, stochastic analysis theory and It o ^
Zhou Liqun
exaly +2 more sources
Exponential-weighted input-to-state stability of hybrid impulsive switched systems
IET Control Theory and Applications, 2012 Stability of the non-linear systems with external inputs is an important problem in control theory and engineering. Input-to-state stability (ISS) is one of the stability concepts that have been introduced to non-linear systems. This study extends the ISS to a more general case, namely, exponential-weighted input-to-state stability (eλt-weighted ISS ...
J -C Chen
exaly +2 more sources
Advances in Difference Equations, 2021 In this paper, we first consider the stability problem for a class of stochastic quaternion-valued neural networks with time-varying delays. Next, we cannot explicitly decompose the quaternion-valued systems into equivalent real-valued systems; by using ...
Lihua Dai, Yuanyuan Hou
doaj +1 more source