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General controllability and general stabilities of linear systems

Yi Lin

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Abstract

The concept of linear u-controllability of input-output linear systems is introduced: the relation between the concepts of linear ∧-controllability and u-controllability of input-output systems, and the general stability and general uniform stability of linear systems are studied; a few equivalent descriptions for the stability of a linear system and the uniform stability of a linear system are given; many open questions are posed.

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What this paper is about

The concept of linear u-controllability of input-output linear systems is introduced: the relation between the concepts of linear ∧-controllability and u-controllability of input-output systems, and the general stability and general uniform stability of linear systems are studied; a few equivalent descriptions for the stability of a linear system and the uniform stability of a linear system are given; many open questions are posed.

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The concept of linear u-controllability of input-output linear systems is introduced: the relation between the concepts of linear ∧-controllability and u-controllability of input-output systems, and the general stability and general uniform stability of linear systems are studied; a few equivalent descriptions for the stability of a linear system and the uniform stability of a linear system are given; many open questions are posed.

Key concepts: Controllability, Linear system, Stability (learning theory), Mathematics, Linear control systems, Relation (database), Control theory (sociology), Controllability Gramian

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