[PDF] Top 20 Exponentially practical stability of discrete time singular system with delay and disturbance

... called time delay systems. Examples of time delay systems are population dynamic models, mechani- cal transmissions, and digital control systems [4, 7–10, ...that time delay may ... See full document

... switched discrete-time linear singular systems due to their importance in both theoretical and practical aspects, see [1- 4], and the references ...switched system consisting of a set ... See full document

... On the other hand, to avoid the problem of the existence of a common Lyapunov func- tion, some attention has been widely given to seeking conditions that guarantee the sta- bility of the switched systems under restricted ... See full document

... numerous practical applications: ...equations, singular system can be viewed as a composite formed by several interconnected systems with two layers: dynamic property described by differential ... See full document

... many practical pro- cesses that cannot be described by exclusively continuous or exclusively discrete mod- els, such as manufacturing, communication networks, automotive engineering control and chemical ... See full document

... same time, we notice that large numbers of practical systems, such as economic systems, power systems and so on, are singular differential systems which are also named differential-algebraic systems or ... See full document

... data system to model the discrete schedule feature of the networked singular control ...data system with time-delay in its discrete-time sub- system shows ... See full document

... Of practical interest in ecosystem is the question of whether an ecosystem can withstand those unpredictable forces which persist for a finite period of time or ...the disturbance functions as ... See full document

... a system is unstable, some useful controllers have been designed to stabilize original ...uncertain system becomes stable ...uncertain time-delay stochastic systems with markovian jumping ... See full document

... The paper is organized as follows. In Section , we introduce some notations, definitions, and a proposition. In Section , we give new criteria for exponentially practical stabil- ity of impulsive ... See full document

... decades, discrete-time systems with delay have drawn much attention from the ...many practical systems. The stability of time-delay systems is a fundamental problem ... See full document

... One important aspect of the study on SDEs with Markovian switching is the automatic control. There are many papers devoted to this field with emphasis on the asymptotic analysis of stability, and we just mention ... See full document

... of delay-dependent stability analysis for time-delay systems has received considerable attention, and lots of significant results have been reported; see, for example, Chen et ...the ... See full document

... global stability of positive periodic solutions of a discrete competition model is ...incorporates time delays and allows for a fluctuating ...global stability of positive periodic solutions of ... See full document

... hand, singular systems have been more intensively studied than state-space ones because they can present a better description of the behavior for some ...many singular systems in lots of practical ... See full document

... rate of growth of the domain. By contrast, implicit discretisations of the non-conservative refor- mulation were generally only conditionally stable, with the maximal allowable time step being related to the rate ... See full document

... Voltage stability refers to the ability of a power system to maintain steady voltages at all buses in the system after being subjected to a disturbance from a given initial operating ... See full document

... asymptotic stability of the predator-free and coexisting steady states, and the existence of Hopf bifurcation around the coexisting steady state in- duced by time ...for system (3). In Section 3, we ... See full document

... exponential stability criteria for CNDE with discrete and distributed time-varying ...The time-varying delays are assumed to belong to the given lower and upper bound delays and restrictions ... See full document

... IME delay is frequently a source of instability and a source of generation of oscillation in many dynamic systems such as networked control systems, biological sys- tems, mechanical systems, and chemical or ... See full document