General controllability and general stabilities of linear systems
Yi Lin
Abstract
Yi Lin
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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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