New York
IngĂ©nierie
Lecture notes in control and information sciences ;
Systems theory.
System analysis
9781447142331
1447142330
Springer
London
Delay differential equations
9781447142348
1447142349
0170-8643
Lecture notes in control and information sciences,
Printed edition:
Control.
Systems Theory, Control.
Altshuller
Dmitry
Dmitry Altshuller
enk
Engineering.
802284386
Frequency domain criteria for absolute stability : a delay-integral-quadratic constraints approach
Electronic books
2013
802284386
2013
en
Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity. The results are presented in the frequency domain - the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities. The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically-minded engineers working with nonlinear systems.
2016-06-17