scholarly journals On the rate of convergence of continuous-time linear positive systems with heterogeneous time-varying delays

2013 ◽  
Author(s):  
Hamid Reza Feyzmahdavian ◽  
Themistoklis Charalambous ◽  
Mikael Johansson
Keyword(s):  
Rate Of Convergence ◽  
Continuous Time ◽  
Time Varying ◽  
Positive Systems ◽  
Time Linear

Positivity of descriptor linear systems with regular pencils

2012 ◽  
Vol 61 (1) ◽  
pp. 101-113 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Positive Systems ◽  
Electrical Circuits ◽  
Numerical Examples ◽  
Standard Linear ◽  
Descriptor Linear Systems ◽  
The Relationship ◽  
Equivalent Conditions ◽  
Time Linear

Positivity of descriptor linear systems with regular pencilsThe positivity of descriptor continuous-time and discrete-time linear systems with regular pencils are addressed. Such systems can be reduced to standard linear systems and can be decomposed into dynamical and static parts. Two definitions of the positive systems are proposed. It is shown that the definitions are not equivalent. Conditions for the positivity of the systems and the relationship between two classes of positive systems are established. The considerations are illustrated by examples of electrical circuits and numerical examples.

scholarly journals Positive time-varying continuous-time linear systems and electrical circuits

2015 ◽  
Vol 63 (4) ◽  
pp. 837-842 ◽  
Author(s):  
T. Kaczorek
Keyword(s):  
Large Class ◽  
Linear Systems ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Electrical Circuits ◽  
Time Varying Parameters ◽  
Positive Time ◽  
Necessary And Sufficient ◽  
Time Linear

AbstractThe positivity of time-varying continuous-time linear systems and electrical circuits are addressed. Necessary and sufficient conditions for the positivity of the systems and electrical circuits are established. It is shown that there exists a large class of positive electrical circuits with time-varying parameters. Examples of positive electrical circuits are presented.

scholarly journals Models of Continuous-Time Linear Time-Varying Systems with Fully Adaptable System Modes

10.5772/5403 ◽  
2008 ◽  
Author(s):  
Miguel Angel Gutierrez de Anda ◽  
Arturo Sarmiento ◽  
Roman Kaszynski ◽  
Jacek Piskorowski
Keyword(s):  
Continuous Time ◽  
Linear Time ◽  
Time Varying ◽  
Time Varying Systems ◽  
Time Linear

Stability analysis of nonlinear impulsive switched positive systems

2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Yanzi Lin ◽  
Ping Zhao
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Function Method ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Positive Systems ◽  
Lyapunov Function Method ◽  
The Stability ◽  
Switched Positive Systems ◽  
Time Linear

Abstract In this paper, the global asymptotic stability (GAS) of continuous-time and discrete-time nonlinear impulsive switched positive systems (NISPS) are studied. For continuous-time and discrete-time NISPS, switching signals and impulse signals coexist. For both of these systems, using the multiple max-separable Lyapunov function method and average dwell-time (ADT) method, some sufficient conditions on GAS are given. Based on these, the GAS criteria are also given for continuous-time and discrete-time linear impulsive switched positive systems (LISPS). From our criteria, the stability of the systems can be judged directly from the characteristics of the system functions, switching signals and impulse signals of the systems. Finally, simulation examples verify the validity of the results.

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