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
Keyword(s):  
Linear Time ◽  
Broad Class ◽  
Multivariable Systems ◽  
Input Output ◽  
Linear Time Invariant ◽  
Output Stability ◽  
Time Invariant

scholarly journals On the Input-Output Distinguishability of Single Output Continuous Linear Time-Invariant Systems

2016 ◽  
Vol 61 (7) ◽  
pp. 1906-1911 ◽  
Author(s):  
Koffi M. D. Motchon ◽  
Komi M. Pekpe ◽  
Jean-Philippe Cassar ◽  
Stephan De Bievre
Keyword(s):  
Linear Time ◽  
Continuous Linear ◽  
Input Output ◽  
Linear Time Invariant ◽  
Single Output ◽  
Linear Time Invariant Systems ◽  
Time Invariant

Equivalency of Stability Transitions Between the SDS (Spectral Delay Space) and DS (Delay Space)

2013 ◽  
Author(s):  
Qingbin Gao ◽  
Umut Zalluhoglu ◽  
Nejat Olgac
Keyword(s):  
Linear Time ◽  
Broad Class ◽  
Delay Systems ◽  
Multiple Delays ◽  
Delayed Systems ◽  
Linear Time Invariant ◽  
Time In Literature ◽  
The Stability ◽  
Time Invariant ◽  
Delay Space

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.

scholarly journals Analisis Kestabilan Sistem Linear Time Invariant (Studi Kasus Gerak Longitudinal Pesawat Terbang BWB AC 20.30)

2020 ◽  
Vol 5 (2) ◽  
pp. 54-70
Author(s):  
Muhammad Wakhid Musthofa ◽  
Maulida Agustin
Keyword(s):  
Linear Time ◽  
Input Output ◽  
Linear Time Invariant ◽  
Time Invariant

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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