A well-known result in linear control theory is the so-called "small gain" theorem stating that if given two plants with transfer matrix functions T 1 and T 2 in H ~ such that 11T 1 l] < 7 and lIT2 [q < 1/7, when coupling T 2 to T~ such that u2 = Yl and u 1 = Y2 one obtains an internally stable clos
A “small gain” theorem for time-varying systems
✍ Scribed by Vasile Drăgan
- Book ID
- 103925551
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 221 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
a b s t r a c t Small gain theorems are used to verify the stability of a feedback interconnection of causal stable systems. In this work, we extend the small gain condition to test the stability of a feedback interconnection of two stable systems at least one of which is non-causal. This result may
A small-gain theorem for nonlinear systems is established, which, when applied to interconnections of locally input-to-state stable systems, can ensure the `local input-to-state practical stabilitya of the interconnection. This concept of stability denotes that the state of the interconnection remai
The time varied gain (TVG) of a sonar is intended to remove the range dependence of echo strength. The conventional "40 log R" and "20 log R" TVG functions, which apply to single and distributed targets respectively, provide exact compensation only at infinite range 9 At short range, the conventiona