Summary In this note, we consider a class of strict‐feedback random nonlinear system with unknown parameters,which is different from systems described by Itó stochastic differential equations. The skills to deal the effect Wiener process for are not suitable system. We employ separation technique design an adaptive backstepping controller such that output can practically track given signal and other signals bounded in probability. A simulation example presented demonstrate reasonability...

Abstract In this article, the stabilization problem of a class random networked control nonlinear systems suffering from deception attacks is considered. First, an appropriate attack model described by impulsive system developed, and discrete dynamics have multiple intensity, whose type determined Markov chain. Second, criteria noise‐to‐state exponential stability in m th moment are given for general based on (mode‐dependent) average interval. Third, state‐feedback controller designed to...

Abstract This article investigates the stability of random impulsive delay differential systems with kind intensity determined by an arbitrary sequence or irreducible aperiodic Markov chain. Moreover, continuous dynamics are described equations whose disturbances driven second‐order moment processes. Based on approaches average interval and mode‐dependent interval, criteria global asymptotic in probability exponential th constructed, respectively. In end, feasibility proposed theoretical...

Abstract This paper considers noise‐to‐state stability for random non‐linear systems with stochastic impulses. The impulsive contain three characteristics: the second‐moment processes in continuous dynamics, sequence of variables discrete and number impulses obeyed a renewal process. Firstly, improved criteria are established subject to unstable based on uniformly asymptotically stable function. Secondly, Lyapunov approaches NSS dynamics accomplished by exponentially Finally, two numerical...

Abstract This paper comprehensively explores the stability analysis of random nonlinear systems subjected to non‐instantaneous multiple impulses. The impulses refer various impulsive intensities, with type impulse at each moment determined by a Markov chain. Drawing on properties stochastic processes, series criteria are developed for within constraint fixed intervals. To validate practicality proposed conceptual methods, tracking control problem network surface vessels under deception...

The cooperative adaptive tracking control based on full states quantization is investigated in this paper for multiple uncertain surface vessel systems. Firstly, an system model disturbance accelerations presented. Next, using the quantized states, a series of controllers and laws are constructed such that closed-loop every follower practically stable error between leader can be adjusted arbitrarily small by parameter adjustment technique. Finally, simulation example given to verify...

Abstract This paper studies the stability of stochastic nonlinear time‐delay systems with arbitrary switching and its application. A novel Krasovskii‐type theorem is introduced for featuring time‐delay. Unlike previous results, this result removes restriction that infinitesimal generator Lyapunov–Krasovskii functional (i.e., ) must be negative definite allows to indefinite. As an application, tracking control studied a class switched inverse dynamics The assumption condition imposed on...

The stability of stochastic nonlinear systems with time-delay and state-dependent switching is studied in this paper. Firstly, system maximal solution constructed further extended as the global under certain mild conditions. Secondly, several Krasovskii-type Razumikhin-type theorems are proposed by uniformly asymptotically stable functions (UASFs). These criteria overcome some stringent constraints associated Lyapunov functional/functions. Finally, theoretical findings validated through two...

This paper is devoted to the practical tracking control and disturbance rejection for a class of discrete-time stochastic linear systems (DTSLSs). Firstly, criterion on stability in probability (PS-P) given. Secondly, based internal model principle (IMP) pole assignment algorithm, dynamic controller designed such that mean square (PTMS) sense are realised, while maintaining PS-P DTSLSs. In end, feasibility proposed method verified by application mass-spring-damper system, efficiency...

Different with nonlinear systems described by Itó integral (or differential) equations, the model in form of RDSs uncertain parameters is researched this paper. Compared traditional methods stochastic backstepping control, which focus attentions on Hessian terms caused Brown motions, an adaptive control scheme designed to perform task output-tracking, adopting separation technique. It proved that tracking error can be made arbitrarily small and all other signals are bounded probability. A...

In this paper, the stability analysis of random nonlinear systems with non-instantaneous impulses is fully studied. order to facilitate design controller, based on fixed impulsive internal and properties stochastic processes, a series criteria for system affected by pulses are established. Moreover, some relatively relaxed also given average interval approach, which more useful analyzing closed-loop systems. All above do not need consider continuous or discrete dynamics. The numeric...

This article investigates the practical stabilization problem of random quarter-car active suspension systems. An adaptive dynamic event-trigger strategy is proposed to stabilize states vehicle in response system uncertainty and controller area network resource constraints. Moreover, model systems extended general robot systems; developed with aid a double surface filter, immersion invariance (I&I) techniques, event-triggered mechanisms. The results show that semi-global stability error...