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Furthermore, we give the following theorems as regards the Mittag-Leffler estimation of the solution and finite-time stability for this singular system.
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Based on the singular system observer, this paper proposes an effective approach for chaotic synchronization and private communication.
Consider the singular system (3) and the corresponding singular system of the form (41).
Assume that the singular system (3.2) is regular and causal.
We first regularize the singular system by injecting the derivative of outputs into the system.
Assume that the singular system (2.1) is regular and causal, and that Assumption 3.1 holds.
In any case, the density φ solves the singular system (45).
We first look at the unstructured model; this yields a singular system of ordinary differential equations having interesting dynamical features, such as finite time extinction or persistence of populations.
The new local parameterization method is sufficiently general to be applicable to this type of discrete singular system.
Due to this fact singular systems can better describe and analyze the behavior of some physical systems than regular ones by standard state-space systems [28, 29].
Valle concluded that the evolution of this singular breeding system in the Galapagos flightless cormorant is likely the consequence of multiple life-history factors closely associated with drastic environmental change (that is, cyclic El Ni o events; Valle 2009).
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