Absolute Stability of Nonlinear Control Systems by Xiao-Xin Liao PDF

By Xiao-Xin Liao

ISBN-10: 9401706085

ISBN-13: 9789401706087

ISBN-10: 9401706107

ISBN-13: 9789401706100

This quantity provides an summary of a few fresh advancements on absolutely the balance of nonlinear keep watch over systems.
bankruptcy 1 introduces the most instruments and the crucial effects utilized in this ebook, equivalent to Lyapunov features, K-class services, Dini-derivatives, M-matrices and the crucial theorems on worldwide balance. bankruptcy 2 provides absolutely the balance thought of self reliant keep watch over platforms and the well known Lurie challenge. bankruptcy three provides a few easy algebraic worthwhile and adequate stipulations for absolutely the balance of a number of distinctive keep watch over platforms. bankruptcy four discusses nonautonomous and discrete keep an eye on platforms. bankruptcy five bargains with absolutely the balance of keep watch over structures with m nonlinear regulate phrases. bankruptcy 6 devotes itself to absolutely the balance of keep watch over structures defined by means of practical differential equations.
The booklet concludes with an invaluable bibliography.
For utilized mathematicians, and engineers whose paintings contains keep an eye on systems.

Show description

Read or Download Absolute Stability of Nonlinear Control Systems PDF

Similar robotics & automation books

Get Intelligent Agent Software Engineering PDF

From theoretical and useful viewpoints, the applying of clever software program brokers is a subject of significant curiosity. there was a starting to be curiosity not just in new methodologies for improvement of clever software program brokers, but in addition the way those methodologies might be supported by way of theories and perform.

Download PDF by Massimo Negrotti: The Reality of the Artificial: Nature, Technology and

The human ambition to breed and enhance ordinary gadgets and techniques has an extended background, and levels from desires to real layout, from Icarus’s wings to fashionable robotics and bioengineering. This relevant appears to be like associated not just to useful application but additionally to our inner most psychology. however, reproducing anything ordinary isn't really a simple company, and the particular replication of a normal item or technique through a few expertise is very unlikely.

Get Data Reconciliation and Gross Error Detection. An PDF

This is often a very good ebook at the topic - the authors have lined all of the bases. if you would like a publication on facts reconciliation and gross errors detection, this is often as whole and thorough a e-book as i will think. - Les A. Kane, Editor, complex method regulate and data platforms content material: Acknowledgments, Pages xiii-xivPreface, Pages xv-xvii1 - the significance of information Reconciliation and Gross blunders Detection, Pages 1-312 - size error and blunder aid recommendations, Pages 32-583 - Linear Steady-State information Reconciliation, Pages 59-844 - Steady-State information Reconciliation for Bilinear platforms, Pages 85-1185 - Nonlinear Steady-State info Reconciliation, Pages 119-1416 - information Reconciliation in Dynamic platforms, Pages 142-1737 - advent to Gross blunders Detection, Pages 174-2258 - a number of Gross mistakes identity innovations for Steady-State methods, Pages 226-2809 - Gross blunders Detection in Linear Dynamic platforms, Pages 281-29910 - layout of Sensor Networks, Pages 300-32611 - commercial purposes of information Reconciliation and Gross blunders Detection applied sciences, Pages 327-372Appendix A - easy ideas in Linear Algebra, Pages 373-377Appendix B - Graph conception basics, Pages 378-383Appendix C - basics of chance and records, Pages 384-393Index, Pages 394-402Author Index, Pages 403-405The Authors, web page 406

Download e-book for iPad: The Human Side of Managing Technological Innovation: A by Ralph Katz

Companies competing in brand new speedily altering technological markets are confronted with the demanding situations of ''dualism''--operating successfully within the current whereas innovating successfully for the longer term. Managers and leaders inside those companies not just need to specialize in present marketplace good fortune and profitability, yet they have to additionally introduce the subsequent iteration of technical advances, product attributes, or carrier good points that may maintain or even increase their carrying on with international competitiveness.

Additional resources for Absolute Stability of Nonlinear Control Systems

Sample text

0, for (JTB-1d T we use the topological transformation y = Hx - (H-I)Td To complete the proof, 2. 48 to reduce v to v = AUTONOMOUSOONTROLSY~S P = tFB-Id + 2{1cTb yT y - p, and the condition eT x ~ l/k is equivalent to eTH-I[y + (H-I)TdJ ~ !. 4. 8) , the expression v = yTY - P satisfies v > o. It can be easily proved that p ~ o. Thus, we have v ~ Ofor y = needs to guarantee that y cTH-I[O = Ois not on the halE space Il, i. e. o. 6). Clearly, on the half space Il, v will get its minimun at y = y' , i.

31 2. 2. Necessary and Sufficient Conditiona for AbeoIute Stability Since B is sta bie , there exist constants M~ 1and a> O such that II eB(l-Io) II ~ Me-O<'-'o) for ali t ~ to. Since (1(t) - O as t -+ 00, (1(t) continuously depends on xo' and f«(1(t» continuous function of X o and f(q(t» - 81(e) > Oand tI > to such that Oas t -+ 00, for any e > O, there exist J::Me--('-')[ II bf(q(r» II + II b()q(r) II ]dr < ; , J:,Me--('-')[ II bf«(1(r» II + II b()q(r) II ]dr <; for ali if II Xo is a for ali t ~ tI' t ~ to II < 81 (e).

2) is expressed as If cTb = . -b/ ;-1 + E~c;b, < O. ;-1 > O. then for E» 1. it follows that . ~tl;; ;-1 . + E~c;bl > O. ;-1 which is impossible. Thus we have cTb ~ O. 3) We first verify the identity of linear algebra I det(1 + EF) = det(1 + FE). where E and F are arbitrary matricea for which EF and FE exist. The unit matricea on both sides of the equality can be different order. Indeed. det(l + EF)= det (1+FEF - det ( 1 F = det(1 - O) = det (1O 1 E) (1 E) 1 + FE). O 1 ( det 1 F O) 1 + FE Now. we prove cTA-1b ~ O.

Download PDF sample

Absolute Stability of Nonlinear Control Systems by Xiao-Xin Liao

by Paul

Rated 4.60 of 5 – based on 8 votes