Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems

1996 ◽  
Vol 41 (1) ◽  
pp. 125-128 ◽  
Author(s):  
F. Amato ◽  
A. Pironti ◽  
S. Scala
Keyword(s):  
Linear Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Time Varying ◽  
Quadratic Stability ◽  
Time Varying Systems ◽  
Necessary And Sufficient

Necessary and Sufficient Conditions for Assignability of the Lyapunov Spectrum of Discrete Linear Time-Varying Systems

2018 ◽  
Vol 63 (11) ◽  
pp. 3825-3837 ◽  
Author(s):  
Artur Babiarz ◽  
Irina Banshchikova ◽  
Adam Czornik ◽  
Evgenii K. Makarov ◽  
Michal Niezabitowski ◽  
...  
Keyword(s):  
Linear Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Lyapunov Spectrum ◽  
Time Varying ◽  
Time Varying Systems ◽  
Necessary And Sufficient

scholarly journals Inverse Commutativity Conditions for Second-Order Linear Time-Varying Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Mehmet Emir Koksal
Keyword(s):  
Differential Equation ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Second Order ◽  
Necessary And Sufficient Conditions ◽  
Time Varying ◽  
Order Linear ◽  
Time Varying Systems ◽  
Initial States ◽  
Necessary And Sufficient

The necessary and sufficient conditions where a second-order linear time-varying system A is commutative with another system B of the same type have been given in the literature for both zero initial states and nonzero initial states. These conditions are mainly expressed in terms of the coefficients of the differential equation describing system A. In this contribution, the inverse conditions expressed in terms of the coefficients of the differential equation describing system B have been derived and shown to be of the same form of the original equations appearing in the literature.

On the Reducibility of the Discrete Linear Time-Varying Systems

2015 ◽  
Vol 789-790 ◽  
pp. 1027-1033
Author(s):  
Jerzy Klamka ◽  
Elżbieta Ferenstein ◽  
Artur Babiarz ◽  
Michał Niezabitowski
Keyword(s):  
Lyapunov Exponents ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Time Varying ◽  
Identity Matrix ◽  
Original Result ◽  
Time Varying Systems ◽  
Basic Facts ◽  
Necessary And Sufficient

For the discrete linear time-varying systems we present basic facts and definitions concerning the Lyapunov transformation, kinematic similarity and reducibility in the context of stability and Lyapunov exponents theory. Moreover, the paper contains the original result giving the necessary and sufficient conditions for the reducibility of a system to system with identity matrix.

Sign in / Sign up

Export Citation Format

Share Document