This paper investigates the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filtering problem for nonhomogeneous Markovian jump repeated scalar nonlinear systems with multiplicative noises and partially mode-dependent (PM) characterization. A new PM filter is proposed, which guarantees stochastic stability of error systems. The transition probabilities (TPs) process are assumed to be polytopic probability successful transmission mode...

Abstract This paper is concerned with the exponential stability analysis of stochastic delayed systems impulsive effects. By using average interval approach, and together comparison lemma Razumikhin techniques, sufficient conditions ensuring moment under consideration are established. A criterion for non‐delayed impulses also derived as a corollary. Compared existing results in literature, which usually based on supremum or infimum intervals, reported this less conservative. Two illustrative...

A class of generalized impulsive stochastic functional differential systems with delayed impulses is considered. By employing piecewise continuous Lyapunov functions and the Razumikhin techniques, several criteria on exponential stability uniform in terms two measures for mentioned are obtained, which show that unstable may be stabilized by appropriate impulses. Based results, controllers mean square exponentially stabilize linear delay proposed. Finally, numerical examples given to verify...

The problem of stability for nonlinear impulsive stochastic functional differential equations with delayed impulses is addressed in this paper. Based on the comparison principle and an delay inequality, some exponential asymptotical criteria are derived, which show that system will be stable if impulses’ frequency amplitude suitably related to increase or decrease continuous flows. obtained results complement ones from recent works. Two examples discussed illustrate effectiveness advantages...

The robust filtering problem for a class of uncertain discrete‐time fuzzy stochastic systems with sensor nonlinearities and time‐varying delay is investigated. parameter uncertainties are assumed to be time varying norm bounded in both the state measurement equations. By using Lyapunov stability theory some new relaxed techniques, sufficient conditions proposed guarantee robustly prescribed H ∞ performance level error system all admissible uncertainties, nonlinearities, delays. These...

This paper is concerned with p th moment input-to-state stability ( -ISS) and stochastic (SISS) of impulsive systems time delays. Razumikhin-type theorems ensuring -ISS/SISS are established for the mentioned external input affecting both continuous discrete dynamics. It shown that when impulse-free delayed dynamics but impulses destabilizing, property can be preserved if length interval large enough. In particular, marginally stable zero input, system regardless how often or seldom occur. To...

The network‐based robust H ∞ filtering for the uncertain system with sensor failures and noise is considered in this paper. under consideration also subject to parameter uncertainties delay varying an interval. Sufficient conditions are derived a linear filter such that error systems globally asymptotically stable while disturbance rejection attenuation constrained given level by means of performance index. These characterized terms feasibility set matrix inequalities (LMIs), then explicit...

A weighted average finite difference method for solving the two-sided space-fractional convection-diffusion equation is given, which an extension of ordinary equations. Stability, consistency, and convergence new are analyzed. simple accurate stability criterion valid this method, arbitrary factor, fractional derivative given. Some numerical examples with known exact solutions provided.

This paper investigates the exponential stability of general impulsive delay systems with delayed impulses. By using Lyapunov function method, some Lyapunov-based sufficient conditions for are derived, which more convenient to be applied than those Razumikhin-type in literature. Their applications linear time-varying delays also proposed, and a set is provided terms matrix inequalities. Meanwhile, two examples discussed illustrate effectiveness advantages results obtained.

Fractional-order diffusion equations are viewed as generalizations of classical equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, characteristic finite difference method is presented, which based on characteristics (MOC) and (FD) procedures. The stability, consistency, convergence, error estimate obtained. An example also given illustrate applicability theoretical results.

The filtering problem for a class of discrete-time stochastic systems with nonlinear sensor and time-varying delay is investigated. By using the Lyapunov stability theory, sufficient conditions are proposed to guarantee asymptotical stablity an prescribe performance level error systems. These dependent on lower upper bounds discrete delays obtained in terms linear matrix inequality (LMI). Finally, two numerical examples provided illustrate effectiveness methods.

This paper investigates the exponential stability (ES) of nonlinear discrete-time (DT) systems with stochastic impulses and Markovian jump. Employing Lyapunov function method subsequence technique, sufficient conditions for <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">pth</i> moments (ES- ) system are established. Generally, even if all jump subsystems (MJSSs) not ES- in absence impulses, can still be used to achieve a specially designed...

In this paper, we extend the Razumikhin-type theory to impulsive stochastic functional differential systems. By using Lyapunov functions and Razumikhin techniques, criteria on pth moment asymptotic stability for systems is established. As an application, a class of delay discussed. One illustrative example provided show effectiveness our results.

The influences of redundant force exist in electro-hydraulic load simulators utilized for aircraft booster aerodynamic simulations. To suppress the this force, however, conventional way introducing extreme points feed-forward systems makes compensation frequency band narrow, while other servo synchronous control is largely affected by actuator movement amplitude and frequency, which thus worsen system adaptive abilities. In paper, we propose a neuron PID based self-adaptive mechanism...