Linear Systems and Higher Order Equations

2001 ◽  
pp. 189-254
Author(s):  
Martin Bohner ◽  
Allan Peterson
Keyword(s):  
Linear Systems ◽  
Higher Order

scholarly journals A note on the controllability of higher-order linear systems

2004 ◽  
Vol 17 (12) ◽  
pp. 1375-1380 ◽  
Author(s):  
G. Kalogeropoulos ◽  
P. Psarrakos
Keyword(s):  
Linear Systems ◽  
Higher Order ◽  
Order Linear

scholarly journals HIGHER-ORDER SLIDING MODE DYNAMICS DESIGN FOR A CLASS OF SINGLE-INPUT LINEAR SYSTEMS

2020 ◽  
Vol 19 (2) ◽  
pp. 103
Author(s):  
Boban Veselić
Keyword(s):  
Linear Systems ◽  
Sliding Mode ◽  
Higher Order ◽  
System Matrix ◽  
Sliding Manifold ◽  
Single Input ◽  
Digital Simulations ◽  
Specific Sliding ◽  
Sliding Mode Dynamics ◽  
Mode Order

The paper considers a higher-order sliding mode dynamics design in a class of single-input linear systems having the invertible system matrix. The proposed sliding manifold selection method simultaneously provides a necessary relative degree of the sliding variable for a specific sliding mode order and the desired system dynamics after establishing that sliding mode. It is shown that the found unique solution satisfies these requirements. The theoretically obtained result is validated through a numerical example and illustrated by digital simulations.

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