[PDF] Top 20 Stability analysis of linear positive systems with time delays on time scales

... medical systems involve variables that have nonnegative sign, ...Such systems are referred to as positive ...called positive if any trajectory of the system starting from non-negative initial ... See full document

... exponential stability of the inhomogeneous closed-loop system has been achieved, then it may be guaranteed to be ...above analysis dictates that the absence or presence of controller exter- nal ... See full document

... differential systems in a unified way. Fortunately, the theory of calculus on time scales (see [, ] and references cited therein) proposed by Hilger in his ...discrete analysis, and it has ... See full document

... delay-dependent stability analysis for discrete- time systems with interval-like time-varying ...delay-dependent stability criterion is obtained in terms of a linear ... See full document

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

... for linear time-varying multi-output systems was ...nonlinear systems and some sufficient conditions for the exis- tence of the proposed observer were obtained, which guaranteed that the error ... See full document

... of time-delay systems has been a very active field for the last 20 years and has spawned many branches, for example, stability analysis, stabilization design, H  control, passive and ... See full document

... square stability has become a hot issue, which has many important applications in system analysis and ...square stability of linear stochastic systems have been obtained in terms of ... See full document

... with time-delays which contains delays both in its state and in its derivatives of state is encountered in many dynamic systems and their presences must be taken into account in real dynamic ... See full document

... with time delays on time scales have been studied, namely, existence and nonexistence of positive periodic solutions in shifts δ ± on time ...dynamic systems modeling and ... See full document

... with time-varying ...exponential stability of positive switched systems with time-varying delays, and the average dwell time approach is utilized for the stability ... See full document

... asymptotic stability of positive 1D continuous-time and discrete-time linear systems without and with delays and of positive 2D linear systems ... See full document

... dynamical systems have a number of significant differences mainly due to the topological fact that in one case the time scale T R, real numbers, and the corresponding trajectories are connected while in ... See full document

... feasible linear matrix inequalities based on the Lyapunov– Krasovskii functional methods [6, ...realistic systems; for instance, when considering a long-term dynamical behavior of the system, the parameters ... See full document

... sciences. Stability analysis of linear systems with time-varying delays x(t) = ˙ Ax(t) + Dx(t – h(t)) is fundamental to many practical problems and has re- ceived considerable ... See full document

... with time delays [–]. Moreover, time delay in the leakage term also has a great impact on the dynamics of neural ...[], time delay in the stabilizing negative feedback term has a ... See full document

... 3.1. The proof, which is based on Picard-Lindel ¨of theorem, follows directly from a parallel existing result from the background literature on fractional differential systems by grouping all the additive forcing ... See full document

... Robust stability results for nominally linear hybrid systems are obtained from total stability theorems for purely continuous-time and discrete-time systems by using the ... See full document

... control systems also occur in medical ...a positive control system since insulin can only be added to a patient’s body, and cannot be extracted via the ...control systems can be listed which can be ... See full document

... Since many dynamic processes in nature can encounter the abrupt changes at certain moments, there have been quite a number of literatures to study the differ- ential systems with impulses, see, e.g., [1, 3, 4, 5, ... See full document