Exponential stability of nonlinear state-dependent delayed impulsive systems with applications

2021 ◽  
Vol 42 ◽  
pp. 101088
Author(s):  
Zhilu Xu ◽  
Xiaodi Li ◽  
Vladimir Stojanovic
Keyword(s):  
Exponential Stability ◽  
Impulsive Systems ◽  
State Dependent ◽  
Nonlinear State

Exponential stability of impulsive systems with random delays under sampled-data control

2017 ◽  
Vol 11 (16) ◽  
pp. 2834-2847 ◽  
Author(s):  
Kuppusamy Subramanian ◽  
Palanisamy Muthukumar ◽  
Quanxin Zhu
Keyword(s):  
Exponential Stability ◽  
Sampled Data ◽  
Impulsive Systems ◽  
Random Delays ◽  
Data Control ◽  
Sampled Data Control

scholarly journals Exponential stability of impulsive systems with application to uncertain sampled-data systems

2008 ◽  
Vol 57 (5) ◽  
pp. 378-385 ◽  
Author(s):  
Payam Naghshtabrizi ◽  
João P. Hespanha ◽  
Andrew R. Teel
Keyword(s):  
Exponential Stability ◽  
Data Systems ◽  
Sampled Data ◽  
Impulsive Systems

scholarly journals Approximate controllability of second order impulsive systems with state-dependent delay in banach spaces

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Soniya Singh ◽  
◽  
Sumit Arora ◽  
Manil T. Mohan ◽  
Jaydev Dabas ◽  
...  
Keyword(s):  
Banach Spaces ◽  
Approximate Controllability ◽  
Second Order ◽  
Impulsive Systems ◽  
State Dependent ◽  
State Dependent Delay

Nonlinear Robust H∞ Control With State-Dependent Scaling

2011 ◽  
Author(s):  
Scott Hays ◽  
Fen Wu
Keyword(s):  
Direct Method ◽  
State Feedback Control ◽  
Van Der Pol ◽  
Synthesis Conditions ◽  
State Dependent ◽  
Nonlinear Uncertain Systems ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties ◽  
Nonlinear State ◽  
Nonlinear Robust

This paper addresses the design of nonlinear robust H∞ controllers for nonlinear uncertain systems with polynomial vector field and norm bounded uncertainties. We derive state-dependent matrix inequalities, using Lyapunov’s direct method, that stabilize the nonlinear systems and guarantee robust performance using nonlinear state-feedback control. The state-dependent synthesis conditions incorporate state-dependent scaling to minimize the ℒ2 gain of the disturbance/output. Sum-of-squares (SOS) optimization is applied to solve the resulting synthesis condition with optimized ℒ2 gain for the nonlinear system, without requiring an iterative approach. Finally, a design example of nonlinear Van der Pol equation is presented.

scholarly journals Nonlinear state-dependent feedback control of a pest-natural enemy system

2018 ◽  
Vol 94 (3) ◽  
pp. 2243-2263 ◽  
Author(s):  
Yuan Tian ◽  
Sanyi Tang ◽  
Robert A. Cheke
Keyword(s):  
Feedback Control ◽  
Natural Enemy ◽  
State Dependent ◽  
Nonlinear State
Sign in / Sign up

Export Citation Format

Share Document