1997
DOI: 10.1002/(sici)1099-1239(199709)7:9<811::aid-rnc231>3.0.co;2-f
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On the induced norms of discrete-time and hybrid time-varying systems

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1997
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Cited by 10 publications
(6 citation statements)
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“…The latter evolves forward in time and so provides an explicit recursive expression for computing the solution to the KYP inequalities (2.6)-(2.7). Similar, but less explicit, results from operator theoretic points of view exist [22,27]. The proof of Lemma 2.5 is based on the following standard lemma.…”
Section: Analysis Of Linear Time-varying Systemsmentioning
confidence: 79%
“…The latter evolves forward in time and so provides an explicit recursive expression for computing the solution to the KYP inequalities (2.6)-(2.7). Similar, but less explicit, results from operator theoretic points of view exist [22,27]. The proof of Lemma 2.5 is based on the following standard lemma.…”
Section: Analysis Of Linear Time-varying Systemsmentioning
confidence: 79%
“…We typically use the H 2 and H ∞ norms, where the former evaluates the energy of the impulse response while the latter considers the worst energy of the output for the disturbances with unit energy. A number of studies have been conducted for providing analytical solutions for the H 2 optimal control [7][8][9][10] and the H ∞ optimal control [9][10][11][12][13][14][15] of sampled-data systems. However, they cannot be used for dealing with another typical norm called the L ∞ norm, which is associated with bounded persistent disturbances that are often observed in a number of practical control applications.…”
Section: Introductionmentioning
confidence: 99%
“…One important aspect of switched systems is their norm computations studied in works such as [5], [6], [7], [8], and [9] for the l 2 induced gain and [10] and [11] for the l ∞ and l 1 induced norm.…”
Section: Introductionmentioning
confidence: 99%