Evolution semigroups and stability of time-varying systems on Banach spaces

2002 ◽  
Author(s):  
T. Randolph ◽  
Y. Latushkin ◽  
S. Clark
Keyword(s):  
Banach Spaces ◽  
Time Varying ◽  
Time Varying Systems ◽  
Evolution Semigroups

Constrained controllability of linear time-varying systems in banach spaces

Optimization ◽  
2001 ◽  
Vol 50 (3-4) ◽  
pp. 187-204
Author(s):  
Jong. Yeoul Park ◽  
Vu. Ngoc Phat ◽  
IL. Hyo Jung
Keyword(s):  
Banach Spaces ◽  
Linear Time ◽  
Time Varying ◽  
Time Varying Systems ◽  
Constrained Controllability

TIME-VARYING PERTURBATIONS OF CHAOTIC DISCRETE SYSTEMS

2012 ◽  
Vol 22 (03) ◽  
pp. 1250066 ◽  
Author(s):  
LIJUAN ZHANG ◽  
YUMING SHI
Keyword(s):  
Dynamical Systems ◽  
Banach Spaces ◽  
Discrete Systems ◽  
Discrete Dynamical Systems ◽  
Small Time ◽  
Strong Sense ◽  
Time Varying ◽  
Perturbed System ◽  
Time Varying Systems

This paper is concerned with time-varying discrete dynamical systems in Banach spaces. A criterion of chaos induced by coupled-expansion for time-varying systems is first established and then the persistence of coupled-expansion is considered for time-varying systems under small time-varying perturbations, under which the perturbed system is shown chaotic in the strong sense of Li–Yorke. By applying this result, a map with a regular and nondegenerate snap-back repeller is shown to be still chaotic in the strong sense of Li–Yorke under small time-varying perturbations.

Krein Space-based Hθ Fault Estimation for Linear Discrete Time-varying Systems

2009 ◽  
Vol 34 (12) ◽  
pp. 1529-1533 ◽  
Author(s):  
Mai-Ying ZHONG ◽  
Shuai LIU ◽  
Hui-Hong ZHAO
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space

Finite-time control of uncertain time-varying systems in p-normal form

2020 ◽  
Author(s):  
Kanya Rattanamongkhonkun ◽  
Radom Pongvuthithum ◽  
Chulin Likasiri
Keyword(s):  
Normal Form ◽  
Finite Time ◽  
Control Law ◽  
Time Varying ◽  
Time Control ◽  
Special Cases ◽  
Time Varying Systems ◽  
A Chain ◽  
Uncertain Time ◽  
Power Integrator

Abstract This paper addresses a finite-time regulation problem for time-varying nonlinear systems in p-normal form. This class of time-varying systems includes a well-known lower-triangular system and a chain of power integrator systems as special cases. No growth condition on time-varying uncertainties is imposed. The control law can guarantee that all closed-loop trajectories are bounded and well defined. Furthermore, all states converge to zero in finite time.

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