scholarly journals Input-Output Stability of a Broad Class of Linear Time-Invariant Multivariable Systems

1972 ◽  
Vol 10 (1) ◽  
pp. 203-209 ◽  
Author(s):  
Mathukumalli Vidyasagar
2016 ◽  
Vol 61 (7) ◽  
pp. 1906-1911 ◽  
Author(s):  
Koffi M. D. Motchon ◽  
Komi M. Pekpe ◽  
Jean-Philippe Cassar ◽  
Stephan De Bievre

Author(s):  
Qingbin Gao ◽  
Umut Zalluhoglu ◽  
Nejat Olgac

It has been shown that the stability of LTI time-delayed systems with respect to the delays can be analyzed in two equivalent domains: (i) delay space (DS) and (ii) spectral delay space (SDS). Considering a broad class of linear time-invariant time delay systems with multiple delays, the equivalency of the stability transitions along the transition boundaries is studied in both spaces. For this we follow two corresponding radial lines in DS and SDS, and prove for the first time in literature that they are equivalent. This property enables us to extract local stability transition features within the SDS without going back to the DS. The main advantage of remaining in SDS is that, one can avoid a non-linear transition from kernel hypercurves to offspring hypercurves in DS. Instead the potential stability switching curves in SDS are generated simply by stacking a finite dimensional cube called the building block (BB) along the axes. A case study is presented within the report to visualize this property.


2020 ◽  
Vol 5 (2) ◽  
pp. 54-70
Author(s):  
Muhammad Wakhid Musthofa ◽  
Maulida Agustin

Stabilitas adalah hal terpenting dalam dunia penerbangan. Salah satu gerak pesawat yang memerlukan kestabilan adalah gerak longitudinal pesawat terbang. Gerak ini merupakan gerak dalam arah vertikal dengan gaya yang bekerja di bagian sumbu roll X dan yaw Z sebagai penyebabnya. Pada artikel ini akan dipaparkan model matematika dalam sistem linear time invariant (LTI) dan analisis kestabilan dari sistem gerak longitudinal pesawat terbang BWB AC 20.30 sebagai pesawat terbang tanpa awak. Analisis kestabilan sistem tersebut menggunakan lima macam metode, yaitu metode nilai eigen, Routh-Hurwitz, Lyapunov, linearisasi dan metode input-output. Selanjutnya, guna memberikan gambaran kestabilan secara geometri akan dilakukan simulasi dengan menggunakan MATLAB R2013a.


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