Control Systems Synthesis

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The book presents the stable factorization approach for designing feedback controllers in linear control systems, focusing on multi-input, multi-output (MIMO) plants represented as matrices over a commutative ring. It defines stable control systems within this mathematical framework and introduces the concept of coprimeness for matrices, which extends to various system types. A key result is the parametrization of stabilizing controllers using a single parameter from the ring, facilitating the formulation of stabilization problems. This reprint revisits foundational concepts in control system synthesis.