Practical stabilization of uncertain dynamical systems by continuous state feedback based on Riccati equation and a sufficient condition for robust practical stability

2003 ◽  
Author(s):  
F. Hamano
Keyword(s):  
Dynamical Systems ◽  
Riccati Equation ◽  
State Feedback ◽  
Practical Stability ◽  
Sufficient Condition ◽  
Uncertain Dynamical Systems ◽  
Continuous State ◽  
Practical Stabilization

scholarly journals Sufficient Conditions of Asymptotic Stability of the Time-Varying Descriptor Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Xiaoming Su ◽  
Yali Zhi
Keyword(s):  
Asymptotic Stability ◽  
Riccati Equation ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Descriptor Systems ◽  
Sufficient Condition ◽  
Time Varying ◽  
Asymptotically Stable ◽  
Close Loop System

We discuss the time-varying descriptor systems. Firstly, a sufficient condition of asymptotic stability and impulse-free is derived based on Riccati equation. Secondly, we design a state feedback controller to make the close-loop system asymptotically stable and impulse-free. Finally, a numerical example demonstrates the proposed results.

Deterministic Controllers for a Class of Mismatched Systems

1994 ◽  
Vol 116 (1) ◽  
pp. 17-23 ◽  
Author(s):  
Sandeep
Keyword(s):  
Dynamical Systems ◽  
Uniform Boundedness ◽  
Sufficient Condition ◽  
Ultimate Boundedness ◽  
Matching Conditions ◽  
Uncertain Dynamical Systems ◽  
Uniform Ultimate Boundedness

In this paper a class of nonlinear uncertain dynamical systems, which do not satisfy the matching conditions, is considered. This class of mismatched systems is more general than one considered earlier. A sufficient condition, in terms of a critical mismatch threshold, is given, which ensures uniform boundedness and uniform ultimate boundedness. The theory is illustrated by an example of controlled aircraft take-off under windshear conditions.

STABILIZING HIGHER PERIODIC ORBITS

1994 ◽  
Vol 04 (02) ◽  
pp. 457-460 ◽  
Author(s):  
M. PASKOTA ◽  
A.I. MEES ◽  
K.L. TEO
Keyword(s):  
Dynamical Systems ◽  
Periodic Orbits ◽  
State Feedback ◽  
State Feedback Control ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Chaotic Dynamical Systems ◽  
Linear State ◽  
Necessary And Sufficient ◽  
Bounded Perturbations

In this paper, we consider stabilization of chaotic dynamical systems onto higher periodic orbits. We give a necessary and sufficient condition for using local linear state feedback control for this purpose. The control is achieved using small, bounded perturbations, and the method proposed is shown to be effective even in the presence of relatively small random dynamical noise.

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