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Analysis of Linear Time-Varying (LTV) Systems

Analysis of Linear Time-Varying (LTV) Systems

Consider a linear time-varying (LTV) system described by the state-space equation dx(t)/dt = A(t)x(t)+B(t)u(t). The main objectives of this paper include: (i) determination of the analytical (closed-form) solutions for the fundamental matrix X(t) and the state transition matrix P(t,t0) of the LTV system, and (ii) design of feedback control, such …