A different view on controllability and observability of continuous time linear systems with interval coefficients

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
View: 185

This Paper With 14 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_IJNAO-10-1_007

تاریخ نمایه سازی: 17 فروردین 1400

Abstract:

We discuss the controllability and observability of time-invariant (continuous time) linear systems with interval coefficients using the notion of being full rank of interval matrices. The most important advantage of the proposed attitude is to consider these two essential concepts, that is, control lability and observability, in interval time-invariant linear systems, which, in turn, may play important roles in the analysis of uncertain systems. Some different definitions on to be full rank of matrices have been utilized to propose different views on the controllability and observability of interval linear systems according to different criteria. Finally, in several control-observation processes, the controllability and observability are evaluated based on the given achievements.

Keywords:

controllability , Observability , Time-invariant linear systems with interval coefficients

Authors

Hadi S. Amiri

Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

Akbar H. Borzabadi

Department of Applied Mathematics, University of Science and Technology of Mazandaran, P.O. Box ۴۸۵۱۸-۷۸۱۹۵, Behshahr, Iran.

Aghileh Heydari

Department of Mathematics, Payame Noor University, Mashhad, Iran.

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • Bhurjee A.K. and Panda, G. Efficient solution of interval optimization ...
  • B. Cheng and J. Zhang, Robust controllability for a class ...
  • Chou, J., Chen, S. and Zhang, Q. Robust controllability for ...
  • Chui C.K. and Chen, G. Linear systems and optimal control, ...
  • Davison, E.J. Connectiability and structural controllability of composite systems, Automatica, ...
  • Heidari M. and Ramezanzadeh, M. Necessary and sufficient conditions for ...
  • Heidari, M., Ramezanzadeh, M., Borzabadi A.H., and Fard, O.S. Solutions ...
  • Ismail, O. and Bandyopadhyay, B. Controllability and observability of linear ...
  • Lin, C., Wang, J.L., Yang, G. and Soh, C.B. Robust ...
  • (9), (1999), 1768–1773. ...
  • Lin, C.T. Structural controllability, IEEE Trans. Automatic Control, 19 (1974), ...
  • Ramezanadeh, M., Heidari, M., Fard O.S. and Borzabadi, A.H. On ...
  • Shary, S.P. On full-rank interval matrices, Numer. Analys. Appl. 7 ...
  • Shields, R.W. and Pearson, J.B. Structural controllability of multi-input linear ...
  • Wang, K. and Michel, A.N. Necessary and sufficient conditions for ...
  • Yang, Y. Controllability and observability of a class of linear ...
  • نمایش کامل مراجع