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Then, as another application, a sufficient condition for the observability is presented.
Now we present the sufficient and necessary condition for the observability of system (1).
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Furthermore, more effective sufficient or necessary conditions for the observability of SBCNs are obtained directly from weighted pair graphs.
First, a novel algebraic condition for POPN observability is presented.
We perform a nonlinear observability analysis to obtain the necessary conditions for complete observability of the system.
We introduce the definition of exact observability of time-delay systems, and under the exact observability, we give an equivalent condition for the stabilizability of stochastic time-delay systems.
The following conclusion shows that observability inequality (2.6) is the sufficient condition for the exact controllability of system (2.1).
The main difficulty is to investigate the conditions for controllability and observability of complex [ r ] -matrix impulsive systems in the context of complex matrices.
The obtained formal method to state conditions for local observability and accessibility allows can be done by computer algebra.
New relationships between coexistence and strong observability, and checkable sufficient conditions for strong observability, are established for a chemostat with two competing microbial species.
Observability conditions for the leader follower system are analytically derived by studying the singularity of the Extended Output Jacobian.
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