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 213
... Definition 2.1 . We say that a quadruple ( t , u ( · ) , x ( · ) , y ( ) ) is a trajectory if 0 < t < ∞ , u ( · ) EU , and x ( · ) , y ( · ) are functions from [ 0 , t ) into R≥0 . Remark 2.2 . In what follows , the familiar names of ...
... Definition 2.1 . We say that a quadruple ( t , u ( · ) , x ( · ) , y ( ) ) is a trajectory if 0 < t < ∞ , u ( · ) EU , and x ( · ) , y ( · ) are functions from [ 0 , t ) into R≥0 . Remark 2.2 . In what follows , the familiar names of ...
Page 220
... Definition 4.1 . System ( 1 ) is said to be unboundedness observable ( UO ) if every trajectory x ( . , č , u ) which has a finite maximal domain of definition [ 0 , Tmax ) satisfies lim sup [ y ( t , 5 , u ) | = ∞ . 1 → T max ¿ .u ...
... Definition 4.1 . System ( 1 ) is said to be unboundedness observable ( UO ) if every trajectory x ( . , č , u ) which has a finite maximal domain of definition [ 0 , Tmax ) satisfies lim sup [ y ( t , 5 , u ) | = ∞ . 1 → T max ¿ .u ...
Page 523
... definition plays the key role for the note . Definition 2. Define the following set of transfer functions SPRO " = { G ( s ) | G " ( s ) e SPR0 } . In particular SPRO = SPRO ' . Remark 1. It is known that SPRO functions enjoy the ...
... definition plays the key role for the note . Definition 2. Define the following set of transfer functions SPRO " = { G ( s ) | G " ( s ) e SPR0 } . In particular SPRO = SPRO ' . Remark 1. It is known that SPRO functions enjoy the ...
Contents
Contents | 1 |
Vol 339 No 2 MARCH 2002 | 129 |
PERGAMON ISSN 00160032 | 248 |
Copyright | |
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2002 The Franklin adaptive algorithm analysis angiogenesis applied approach Benjamin Franklin Medal Chebyshev Chebyshev polynomials chirp closed-loop computation consider constraints corresponding coset defined denote detection domain dynamic systems Elsevier Science Ltd encoding energy equation estimation example fault fault-tolerant feedback finite flywheel Franklin Institute Franklin Institute 339 Franklin Institute www.elsevier.com/locate/jfranklin frequency response frequency response functions gain given group machine homomorphism IEEE IEEE Trans implementation input k₁ mapping Mathematics matrix method NARMAX model noise nomograph nonlinear systems observer obtained optimal control optimal control problem output packet paleomagnetic paper parameters performance Petri net phase error PID controller polynomials proposed Published by Elsevier quadratic redundant residual ScienceDirect Section selectivity semiautomata semigroup shown in Fig signal processing simulation solution solve SPRO stability T₁ TDTL Theorem trajectories transfer function transform transitional filter University v₁ variables vector Widrow zero
Bibliographic information
| Title | Journal of the Franklin Institute, Volume 339 Journal of the Franklin Institute, Franklin Institute (Philadelphia, Pa.) |
| Author | Franklin Institute (Philadelphia, Pa.) |
| Publisher | Pergamon Press, 2002 |
| Original from | University of Minnesota |
| Digitized | 22 Jan 2018 |
| Export Citation | BiBTeX EndNote RefMan |