Superstabilization of positive linear electrical circuit by state-feedbacks

Abstract

Abstract. The concept of superstability of positive linear electrical circuits is introduced and its properties are characterized. The superstabilization of positive and nonpositive electrical circuits by state-feedbacks is analyzed. The following notation will be used: ℜ -the set of real numbers, ℜ n×m -the set of n£m real matrices, ℜ + n×m -the set of n£m real matrices with nonnegative entries and, M n -the set of n£n Metzler matrices (real matrices with nonnegative off-diagonal entries), I n -the n£n identity matrix. PreliminariesConsider the linear continuous-time electrical circuit described by the state equation

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