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Robust stability of positive continuous-time linear systems with delays

Mikołaj Busłowicz
2010 International Journal of Applied Mathematics and Computer Science  
Robust stability of positive continuous-time linear systems with delays The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations  ...  Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure  ...  Acknowledgment The work was supported by the Ministry of Science and High Education of Poland under Grant No. N N514 1939 33.  ... 
doi:10.2478/v10006-010-0049-8 fatcat:yw24odypsjb5zkrqfrsvf6ydwq

Page 1647 of Mathematical Reviews Vol. , Issue 2004b [page]

2004 Mathematical Reviews  
| (PRC-SUN-IM: Chengdu) ; Ma, Zhien (PRC-XJU-CBS; Xi'an) Estimation of a stability region on uncertain large-scale nonlinear systems with time delay. (English summary) Internat. J.  ...  (MEX-UAM3-EH; México) Preservation of robust stability under several uncertainties.  ... 

Robust stability and stabilization for singular systems with state delay and parameter uncertainty

Shengyuan Xu, P. Van Dooren, R. Stefan, J. Lam
2002 IEEE Transactions on Automatic Control  
This note considers the problems of robust stability and stabilization for uncertain continuous singular systems with state delay. The parametric uncertainty is assumed to be norm bounded.  ...  The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties, while the purpose of robust  ...  CONCLUSION The problems of robust stability and stabilization for uncertain continuous singular systems with state delay and parameter uncertainty have been studied.  ... 
doi:10.1109/tac.2002.800651 fatcat:kcjy5w237ffefgpr4mixhbreei

Robust Stability Analysis for Descriptor Systems with State Delay and Parameter Uncertainty ‡

Shengyuan Xu, James Lam, Chengwu Yang
2004 IFAC Proceedings Volumes  
This paper considers the problem of robust stability analysis for continuous descriptor systems with state delay and structured uncertainties.  ...  A computationally simple approach to test stability of descriptor delay systems is proposed.  ...  In this paper, we deal with the problem of robust stability for continuous descriptor systems with state delay and structured uncertainties.  ... 
doi:10.1016/s1474-6670(17)38832-8 fatcat:gkp7rrjnafdcxpkrwnwf5l55g4

Robust Controller Design for Descriptor-type Time-delay Systems

Altug Iftar
2021 WSEAS Transactions on Systems  
Linear time-invariant descriptor-type time-delay systems are considered. A robust stabilizing controller design approach for such systems is introduced.  ...  Uncertainties both in the time-delays and in other system parameters are considered. A frequency-dependent scalar bound on such uncertainties is first derived.  ...  Acknowledgement This work has been supported by the Scientific Research Projects Commission of Eskişehir Technical University under grant number 20ADP235.  ... 
doi:10.37394/23202.2021.20.32 fatcat:ehj5lauoqnb4rksfs7vtyu7khu

MIMO Smith predictor: Global and structured robust performance analysis

Ricardo S. Sánchez-Peña, Yolanda Bolea, Vicenç Puig
2009 Journal of Process Control  
Nominal and robust performance and stability are analyzed for the case of plants with multiple uncertain delays for two different uncertainty structures: global dynamic and structured parametric.  ...  The purpose of this work is to extend the analysis of the Smith predictor structure to multiple-input multiple-output (MIMO) systems with uncertain multiple delays.  ...  Therefore robust stability for multiple delay uncertainty in MIMO systems is another problem to be solved in this area of research.  ... 
doi:10.1016/j.jprocont.2007.12.004 fatcat:lsqd7jzcobdilmo4bufsgsnakq

Page 10547 of Mathematical Reviews Vol. , Issue 2004m [page]

2004 Mathematical Reviews  
Summary: “This paper deals with the problems of robust stabiliza- tion and robust H,, control for discrete stochastic systems with time-varying delays and time-varying norm-bounded parameter uncertainties  ...  stability of the closed-loop system and re- duces the effect of the disturbance input on the controlled output to a prescribed level for all admissible uncertainties.  ... 

Robust D-stability analysis for uncertain discrete singular systems with state delay

Shengyuan Xu, J. Lam, Liqian Zhang
2002 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
This brief investigates the problem of robust D-stability analysis for uncertain discrete singular systems with state delay and structured uncertainties.  ...  still preserves all these properties when structured uncertainties are added into the nominal system.  ...  In this brief, we consider the problem of robust D-stability analysis for uncertain discrete singular systems with state delay. Structured uncertainties are discussed.  ... 
doi:10.1109/81.995677 fatcat:ukwondzsazeefpk2fgxmas5454

Delay-dependent robust stability and stabilization for uncertain singular system with time-varying delay

Huijiao Wang, Anke Xue, Renquan Lu, Junhong Wang
2008 2008 American Control Conference  
The problems of delay-dependent robust stability and stabilization for uncertain singular systems with timevarying delay are addressed in this paper. The uncertainty is assumed to be norm bounded.  ...  By establishing an integral inequality based on quadratic terms, a new delay-dependent robust stability criterion is derived and expressed in terms of linear matrix inequality(LMI).  ...  In this paper, the problems of robust stability and stabilization are considered for a class of singular systems with time-varying delay and norm-bounded uncertainties.  ... 
doi:10.1109/acc.2008.4587056 dblp:conf/amcc/WangXLW08 fatcat:miktlzr2lbeqbmtbiup7cfomzu

Robust stability of positive discrete-time linear systems of fractional order

M. Busłowicz
2010 Bulletin of the Polish Academy of Sciences: Technical Sciences  
Simple necessary and sufficient conditions for robust stability in the general case and in the case of linear uncertainty structure with unity rank uncertainty structure and with non-negative perturbation  ...  case, 2) robust stability of the corresponding finite family of positive discrete-time systems of natural order - in the case of linear unity rank uncertainty structure, 3) asymptotic stability of only  ...  Firstly, we show that robust stability of fractional discretetime positive system (1) is equivalent to robust stability of the corresponding discrete-time positive system without delays of natural order  ... 
doi:10.2478/v10175-010-0057-8 fatcat:uv3wxepyxzg27o2rg2xobjdtky

Page 7555 of Mathematical Reviews Vol. , Issue 2004i [page]

2004 Mathematical Reviews  
Summary: “This paper deals with the problem of robust stabiliza- tion for delayed singular systems with parametric uncertainties.  ...  Summary: “The problem of robust stability and stabilization for a class of linear singular systems with state delay and parameter un- certainty is considered.  ... 

Page 5923 of Mathematical Reviews Vol. , Issue 97I [page]

1997 Mathematical Reviews  
Summary: “The robust stability of Lur’e systems with a single nonlinearity subject to norm bounded uncertainty is considered.  ...  |Jang, Sangdon] (J-K YOT-E; Kyoto) Robust stability of Lur’e systems with norm bounded uncertainty. (English summary ) Control Theory Adv. Tech. 10 (1995), no. 4, part 5, 2261-2266.  ... 

Sliding mode control with uncertainty adaptation for uncertain input-delay systems

Young-Hoon Roh, Jun-Ho Oh
2000 Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)  
This paper deals with a sliding mode control with uncertainty adaptation for the robust stabilization of uncertain input-delay systems.  ...  Then, a robust control law with uncertainty adaptation is derived to ensure the existence of the sliding mode.  ...  This paper has proposed a sliding mode control with uncertainty adaptation for robust stabilization of uncertain input-delay systems.  ... 
doi:10.1109/acc.2000.878977 fatcat:rpqjdya2kne6vaxk65jpu6dddm

Sliding mode control with uncertainty adaptation for uncertain input-delay systems

Young-Hoon Roh, Jun-Ho Oh
2000 International Journal of Control  
This paper deals with a sliding mode control with uncertainty adaptation for the robust stabilization of uncertain input-delay systems.  ...  Then, a robust control law with uncertainty adaptation is derived to ensure the existence of the sliding mode.  ...  This paper has proposed a sliding mode control with uncertainty adaptation for robust stabilization of uncertain input-delay systems.  ... 
doi:10.1080/002071700417894 fatcat:6wybmrssavclveplncnb3tmmre

Robust Stability and Stabilization for Singular Time-Delay Systems with Linear Fractional Uncertainties: A Strict LMI Approach

Jinxing Lin, Lina Rong
2013 Mathematical Problems in Engineering  
This paper is concerned with the problems of delay-dependent robust stability and stabilization for a class of continuous singular systems with time-varying delay in range and parametric uncertainties.  ...  In terms of strict linear matrix inequalities (LMIs), delay-range-dependent robust stability criteria for the unforced system are presented.  ...  In this paper, by using a strict LMI approach, we study the robust stability and stabilization problems for a class of singular systems with a time-varying interval delay and uncertainties.  ... 
doi:10.1155/2013/598357 fatcat:5unkwwc7h5hznnle4da7ongnxu
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