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Graphs G and H are called cospectral if they have the same characteristic polynomial. If eigenvalues are integral, then corresponding graphs are called integral graph. In this article we introduce a construction to produce pairs of cospectral integral regular graphs. Generalizing the construction of G4(a, b) and G5(a, b) due to Wang and Sun, we define graphs 𝒢4(G,H) and 𝒢5(G,H) and show that they are cospectral integral regular when G is an integral q-regular graph of order m and H is an integral...
Mathematics Subject Classification: 26A33; 93C15, 93C55, 93B36, 93B35,
93B51; 03B42; 70Q05; 49N05
This paper proposes a novel method to design an H∞ -optimal fractional order PID (FOPID) controller with ability to control the transient,
steady-state response and stability margins characteristics. The method uses particle swarm optimization algorithm and operates based on minimizing a general cost function. Minimization of the cost function is carried out
subject to the H∞ -norm; this...
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