[PDF] Top 20 Stability Criterion for Discrete Time Systems

... 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 ...delay-dependent ... See full document

... asymptotical stability criterion for discrete-time system () with variable ...the stability analysis of systems with time-varying delays ... See full document

... controlled systems and the fact that nonlinearities that arise naturally in most plants dynamics often cannot be neglected in con- troller design, have driven people to study and in- vestigate nonlinear ... See full document

... of discrete-time uncertain switched linear system with average dwell time switching is investigated in this ...the stability result for general discrete-time switched ... See full document

... the stability or controller design of switched systems under an arbitrary switching signal; (2) Identifying stabilizing switching signals; (3) Designing the stabilizing switching signal for the switched ... See full document

... on time (time-varying con- trol) or discontinuous ...the stability analysis, since finding a strict Lyapunov func- tion for driftless systems is in general very ...for systems with ... See full document

... The paper is organized as follows: Section 2 presents definitions and some well- known technical propositions needed for the proof of the main results. Switching rule for the asymptotic stability is presented in ... See full document

... new stability tests for positive continuous-time linear systems are ...linear systems is given in Section ...asymptotic stability of positive 1D linear systems with delays is ... See full document

... Condition (2) reduces to a 1-dimenasioanl stability test and is computationally trivial to implement. However, condition (3) is rather difficult to test. Form above example the method proposed by Huang [22] to ... See full document

... robust stability problem for stochastic switched lin- ear discrete systems with convex polytopic uncertainties with interval time-varying ...robust stability of the ...the time ... See full document

... asymptotic stability of special classes of linear discrete equations with constant complex coefficients and with delay, simple criterions have been derived in [–] (the criteria derived in [] are fully ... See full document

... of time delay sys- tems has received considerable attention in the context of control systems ...of time delays leads to performance degradation and instability in many kinds of control ... 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 ...the stability for some real-life switched ... See full document

... Region stability considered in this paper is related with the mean square ...gion stability problem is to check whether the spectrum set of deterministic or stochas- tic systems lies in a given ... See full document

... Control 8:1169-1188, 1998; Shafai et al. in IEEE Trans. Autom. Control 42:265-270, 1997) to nonlinear time-varying perturbations. Two examples are given to illustrate the obtained results. Finally, we present an ... See full document

... of stability for internal autonomous system descriptions in discrete-time, referred to as ”strong stability”, which extends a parallel notion introduced in the continuous-time ...of ... See full document

... the stability of nonlinear nonautonomous discrete-time systems with delaying ar- guments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majo- ...to ... See full document

... semilinear discrete (difference) inclusions in a Hilbert ...the discrete inclusions, in particular, are mathematical models of discrete-time switched ... See full document

... extended discrete system and the continuous one are Lyapunov stable since the output is bounded for all ...all time, that is, “at” and “in-between” sampling ... See full document

... neutral systems with non-differentiable discrete interval time-varying delays, neutral interval time- varying delays and nonlinear perturbations is ...Lyapunov stability theory, some ... See full document