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In this paper, based on low‐rank balanced truncation (BT), we present a splitting model reduction method for bilinear control systems with nonzero initial conditions. By analyzing Volterra series, the original bilinear control system is split up into two systems: one is a bilinear control system with zero initial condition, and the other is our constructed control system. Specifically, we prove that...
In this paper, we consider structure‐preserving model reduction for multi‐input multi‐output port‐Hamiltonian systems based on projection. Specifically, we prove that the reduced system, the projection matrix of which is constructed by solving specific Sylvester equations, satisfies the right (or left) tangential interpolation condition and retains the port‐Hamiltonian structure; hence it remains...
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