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- W2034797316 abstract "The paper considers the problem of simultaneous quadratic (SQ) stablizability of a finite collection linear time-invariant (LTI) system by a static state feedback controller. At first, the solvability conditions for SQ stablization are derived in terms of the solution of certain reduced order matrix inequalities. The existence conditions for the solution of such matrix inequalities are then investigated. Based on that, two new classes of systems are characterized for which a SQ stabilization problem is solvable. These class of systems are (1) partially commutative systems and (2) partially normal systems. These systems are shown to be different from matched uncertain systems and also do not possess any generalised antisymmetric configurations. Both existence and computational algorithm for designing a state feedback controller are given." @default.
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- W2034797316 date "2002-01-01" @default.
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- W2034797316 title "Quadratic stabilization of a collection of linear systems" @default.
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- W2034797316 doi "https://doi.org/10.1080/00207720110091721" @default.
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