Input-Output Stability

2000 ◽  
pp. 1-9
Author(s):  
Arjan van der Schaft
Keyword(s):  
Input Output ◽  
Output Stability

Stability Criteria for Distributed Nonlinear Sampled-Data Systems Defined by Green’s Functions

1974 ◽  
Vol 96 (3) ◽  
pp. 315-321 ◽  
Author(s):  
G. Jumarie
Keyword(s):  
Stability Criterion ◽  
Feedback Gain ◽  
Continuous Systems ◽  
Mean Square ◽  
Data Systems ◽  
Sampled Data ◽  
Input Output ◽  
Output Stability ◽  
Lumped Parameter ◽  
The Mean

Sampled-data, nonlinear, distributed systems, which exhibit a structure similar to that of the standard closed loop with lumped parameter, are investigated from the viewpoint of their input-output stability. These systems are governed by operational equations involving discrete Laplace-Green kernels. Their feedback gains are bounded by upper and lower values which depend explicitly on the time and the distributed parameter. The main result is: an input-output stability theorem is given which applies both in L∞ (O, ∞) and L2 (O, ∞). This criterion, which may be considered as being an extension of the ≪circle criterion≫, involves the mean square value on the bounds of the feedback gain. Stability conditions for continuous systems are derived from this result. In the special case of systems with distributed periodical time-varying feedback gains, a stability criterion is given which applies in Marcinkiewicz space M2 (O, ∞). This result which involves the mean square value of the feedback gain is generally less restrictive than the L2 (O, ∞) stability criterion mentioned above.

scholarly journals On the Local Input–Output Stability of Event-Triggered Control Systems

2019 ◽  
Vol 64 (1) ◽  
pp. 174-189 ◽  
Author(s):  
Mohsen Ghodrat ◽  
Horacio J. Marquez
Keyword(s):  
Control Systems ◽  
Input Output ◽  
Output Stability ◽  
Local Input ◽  
Event Triggered
Sign in / Sign up

Export Citation Format

Share Document