Lyapunov functions and global frequency domain stability criteria for a class of stochastic feedback systems

1972 ◽  
pp. 131-146 ◽  
Author(s):  
Jacques L. Willems
Keyword(s):  
Frequency Domain ◽  
Lyapunov Functions ◽  
Stability Criteria ◽  
Feedback Systems ◽  
Domain Stability

Frequency domain stability criteria--Part II

1965 ◽  
Vol 10 (4) ◽  
pp. 407-413 ◽  
Author(s):  
R. Brockett ◽  
J. Willems
Keyword(s):  
Frequency Domain ◽  
Stability Criteria ◽  
Domain Stability

Frequency Domain Stability Criteria for Distributed Parameter Systems

1970 ◽  
Vol 92 (2) ◽  
pp. 377-384 ◽  
Author(s):  
H. C. Khatri
Keyword(s):  
Frequency Domain ◽  
Stability Criterion ◽  
Closed Loop ◽  
Linear Time ◽  
Distributed Parameter Systems ◽  
Open Loop ◽  
Distributed Parameter ◽  
Stability Criteria ◽  
Domain Stability ◽  
Loop Stability

For distributed parameter systems, open-loop stability in the sense of bounded outputs for bounded inputs, and closed-loop asymptotic stability are considered. Frequency domain stability criteria for open and closed-loop distributed parameter systems are given. The closed-loop stability criterion is similar to V. M. Popov’s stability criterion for lumped systems. The criteria are limited to those linear, time-invariant systems whose dynamics can be described by a transfer function which is the ratio of the multiple transform of the output to the multiple transform of the input. The input may or may not be distributed. An example is given to illustrate the applications of the stability criteria.

Sign in / Sign up

Export Citation Format

Share Document