‎In this paper‎, ‎first we discuss a local stability analysis of model was introduced by P‎. ‎J‎. ‎Mumby et‎. ‎al‎. ‎(2007)‎, ‎with $frac{gM^{2}}{M+T}$ as the functional response term‎. ‎We conclude that the grazing intensity is the important parameter to control the existence or extinction of the coral reef‎. ‎Next‎, ‎we consider this model under the influence of the time delay as the bifurcat...

as one of the most promising distributed generation (dg) sources, wind power technology has been widely developed in recent years. doubly fed induction generator (dfig) is currently employed as one of the most common topologies for wind turbine generators (wtgs). this generator operates as a synchronous/asynchronous hybrid generators. therefore, it is necessary to power engineers find understan...

superconductor fault current limiter (sfcl) is an effective device to suppress high fault currents. this paper presents a comparative study of resistive and inductive fault current limiters from transient stability point of view.  appropriate location and type of the limiters in a hv substation is selected by a qualitative approach based on the equal area criterion. study system is simulated by...

Several notions of exponential stability of linear time-invariant systems on arbitrary time scales are discussed. We establish a necessary and sufficient condition for the existence of uniform exponential stability. Moreover, we characterize the uniform exponential stability of a system by the spectrum of its matrix. In general, exponential stability of a system can not be characterized by the ...

This brief deals with the asymptotic stability of a class of linear time-invariant systems subject to point constant uncommensurate delays. Results are obtained dependent on and independent of the delays which may be tested be performing a finite set of 1-D Routh–Hurwitz tests on a corresponding set of auxiliary delay-free linear time-invariant systems plus some supplementary conditions related...

Reliable stabilizing controller design with integral-action is considered for linear time-invariant, multi-input–multi-output decentralized systems with stable plants. Design methods are proposed to achieve reliable closed-loop stability with integral-action in each output channel for asymptotic tracking of step-input references applied at each input. The design approaches guarantee stability a...

In this paper, we study stability and L2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric subsystems. We focus our attention mainly on discrete-time systems. When all subsystems are Schur stable, we show that the switched system is exponentially stable under arbitrary switching. Furthermore, when all subsystems are Schur st...

We study the disturbance decoupling problem for linear time invariant descriptor systems. We give necessary and suucient conditions for the existence of a solution to the disturbance decoupling problem with/without stability via a proportional and/or derivative feedback that also makes the resulting closed-loop system regular and/or of index at most one. All results are proved constructively ba...