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Let . Then the set of resources used by route i may be described by the equation . In what follows, by the network topology we mean the structure of connections between the resources made by the routes, which is defined by the incidence matrix A (or, equivalently, by the sets , ). ...
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The region of attraction D RN depends on gji and is given in Equation (20). We consider the leaderless and the leader-driven consensus separately in xx 5.2 and 5.3. If the MAS does not possess a leader, the exact point in Â, at which the system will evolve, depends in a ...
The linear equation system Hx=0 can be expressed as[00]=0=Hx=HIxI+HJxJ=[HIHJ][xIxJ] where HI is a non-singular matrix of order (1+t)m×(1+t)m consisting of (1+t)m columns of H indexed by I and J is the complement set of I. Thus, xI=−HI−1HJxJ, namely, (1+t...
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