Journal of the Franklin Institute, Volume 339Pergamon Press, 2002 Vols. 1-69 include more or less complete patent reports of the U. S. Patent Office for years 1825-1859. cf. Index to v. 1-120 of the Journal, p. [415] |
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Page 215
... theorem This small - gain result complements Lemma A.1 in [ 11 ] and Lemma 3.4 in [ 30 ] . Theorem 1. Let uo and u be input measures . Suppose given a XL - function β , a number ro≥0 , a K - function y for which y ( r ) < r if r > ro ...
... theorem This small - gain result complements Lemma A.1 in [ 11 ] and Lemma 3.4 in [ 30 ] . Theorem 1. Let uo and u be input measures . Suppose given a XL - function β , a number ro≥0 , a K - function y for which y ( r ) < r if r > ro ...
Page 222
... Theorem 1. For ease of reference , we present the small - gain results in [ 11 ] and [ 33 ] and indicate how they follow from Theorem 1 . 4.5.1 . IOS - finite dimensional state space representation We begin by showing how Theorem 1 can ...
... Theorem 1. For ease of reference , we present the small - gain results in [ 11 ] and [ 33 ] and indicate how they follow from Theorem 1 . 4.5.1 . IOS - finite dimensional state space representation We begin by showing how Theorem 1 can ...
Page 524
... Theorem is a direct consequence of Definition 2 , Lemma 2 and the fact that the denominator of p ( G ( s ) ) is a Hurwitz polynomial . Lemma 2 and Theorem 3 establish simple solutions to the first problem . Corollary 4. If N ( s ) / D ...
... Theorem is a direct consequence of Definition 2 , Lemma 2 and the fact that the denominator of p ( G ( s ) ) is a Hurwitz polynomial . Lemma 2 and Theorem 3 establish simple solutions to the first problem . Corollary 4. If N ( s ) / D ...
Contents
Contents | 1 |
Vol 339 No 2 MARCH 2002 | 129 |
E PERGAMON ISSN 00160032 | 248 |
Copyright | |
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2002 The Franklin actuator adaptive algorithm angiostatin applied approach Award Benjamin Franklin Medal Chebyshev computation congruence relation corresponding coset coset leader defined denote detection dynamic systems Elsevier Science Ltd encoding energy equation error estimation example fault fault-tolerant feedback finite Franklin Institute Franklin Institute 339 frequency response frequency response functions given group machine homomorphism IEEE IEEE Trans implementation input inverse controller Judah Folkman linear systems mapping matrix method Minsky nodes noise nomograph nonlinear systems observer obtained optimal control optimal control problem output packet paleomagnetic paper parameters Paul Baran performance Petri Petri net phase PID controller polynomials proposed pseudoinverse Published by Elsevier redundant residual ScienceDirect semiautomata semigroup shown in Fig signal processing simulation solution stability subgroup switching TDTL Theorem time-delay trajectories transfer function transform transitional filter tumor University variables vector Widrow zero