We first formulate a model for hybrid dynamical systems which covers very large class of and is suitable the qualitative analysis such systems. Next, we introduce notion an invariant set define several types (Lyapunov-like) stability concepts set. then establish sufficient conditions uniform stability, asymptotic exponential instability Under some mild additional assumptions, also necessary above (converse theorems). In addition to above, boundedness motions (Lagrange stability). To...

The authors consider sampled-data control systems which consist of an interconnection a continuous-time nonlinear plant and digital controller has quantizers (but is otherwise linear), along with the required interface elements (A/D D/A converters). In present paper study qualitative effects nonlinearities these systems.

An important class of hybrid dynamical systems are switched which include multimodal or with variable structure. In the present paper we build on our earlier work qualitative theory discontinuous to establish new results for stability and asymptotic an equilibrium such (defined finite dimensional spaces). The presented herein less conservative than existing systems.

In the present paper authors establish new sufficient conditions for global asymptotic stability of linear systems operating on unit hypercube in R/sup n/ and with partial state saturation constraints. They also determine a set necessary second order constraints both states using above results. Systems type considered herein are widely used several areas applications, including control systems, signal processing, artificial neural networks.

The usual invariance results for asymptotic stability continuous autonomous finite-dimensional dynamical systems involve a positive definite Lyapunov function whose time derivative along the system motions is negative semidefinite (along with certain conditions). This equivalent to requiring that motions, nonincreasing at all times increasing time. In this paper we establish an result and discontinuous nonautonomous systems, which requires when evaluated only on unbounded discrete sets E...

In this note, we establish new Lyapunov and Lagrange stability results in the pth mean for a class of discontinuous stochastic dynamical systems. We apply these qualitative analysis digital feedback control systems that are subjected to multiplicative additive disturbances plants. The present constitute natural extensions our earlier deterministic

In the present paper we establish new sufficient conditions for global asymptotic stability of linear systems operating on unit hypercube in R/sup n/ and with partial state saturation constraints. We also determine a set necessary second order constraints both states using above results. Systems type considered herein are widely used several areas application, including control systems, signal processing, artificial neural networks.

We consider sampled-data control systems which consist of an interconnection a continuous-time nonlinear plant, digital controller has quantizers (but is otherwise linear), along with the required interface elements (A/D and D/A converters). study qualitative effects plant nonlinearities these systems.

Hybrid dynamical systems which are capable of exhibiting simultaneously several kinds dynamic behavior, such as continuous-time dynamics, discrete-time jump phenomena, switching and logic commands, discrete events, the like, great current interest. In present paper we employ a general model system suitable in qualitative analysis generalized time is not represented, usually case, by R/sup +/=[0,/spl infin/) or N={0,1,2,...}, but an abstract metric space on certain hypotheses imposed. This...

In the present paper, we establish new Lyapunov and Lagrange stability results in pth mean for a class of discontinuous stochastic dynamical systems. We apply these qualitative analysis digital feedback control systems that are subjected to multiplicative additive disturbances plants. The constitute natural extensions our earlier deterministic

In this paper we present a stability theory for discontinuous dynamical systems (DDS): continuous-time whose motions are not necessarily continuous with respect to time. We show that is only applicable in the analysis of DDS, but also (continuous-time time), discrete-time (systems defined at discrete points time) and hybrid (HDS) descriptions involve simultaneously discrete-time). results DDS general less conservative than corresponding well-known classical Lyapunov systems. Although on...

This paper considers the stochastic finite‐time dissipative (SFTD) control problem based on nonfragile controller for discrete‐time neural networks (NNS) with Markovian jumps and mixed delays, in which mode switching phenomenon, is described as Markov chain, delays are composed of discrete time‐varying delay distributed delays. First, by selecting an appropriate Lyapunov‐Krasovskii functional applying analysis methods, some parameters‐dependent sufficient conditions solvability boundedness...

Summary The state saturated recursive filtering issue is researched in this article for nonlinear complex networks with energy harvesting sensors and false data injection (FDI) attacks. In communication networks, the of used to transmit from remote filters. Due ample being a prerequisite transmission data, technology provided. During process transmission, measurement signals may be attacked by data. Thereinto, Bernoulli random variables are depict FDI primary goal devise filter that...

In the context of cluster supply chain, a new type chain switching system models was established based on different replenishment forms between two single-chain, which included four inventory subsystems and one rule. By applying robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control method, law provided for corresponding to restrain operation fluctuation caused by processes bullwhip effect arising from external uncertain...