Optimal Guaranteed Cost Control of Linear Systems with Mixed Interval Time-Varying Delayed State and Control
Author
Abstract
Suggested Citation
DOI: 10.1007/s10957-011-9920-5
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Li, Huaizhong & Niculescu, Silviu-Iulian & Dugard, Luc & Dion, Jean-Michel, 1998. "Robust guaranteed cost control of uncertain linear time-delay systems using dynamic output feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 45(3), pages 349-358.
- O. M. Kwon & J. H. Park & S. M. Lee, 2008. "Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 521-532, June.
- P. T. Nam & V. N. Phat, 2009. "Robust Stabilization of Linear Systems with Delayed State and Control," Journal of Optimization Theory and Applications, Springer, vol. 140(2), pages 287-299, February.
- V. N. Phat & Q. P. Ha & H. Trinh, 2010. "Parameter-dependent H ∞ Control for Time-varying Delay Polytopic Systems," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 58-70, October.
- Yang, Dedong & Cai, Kai-Yuan, 2010. "Reliable guaranteed cost sampling control for nonlinear time-delay systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(10), pages 2005-2018.
- Z. Q. Zuo & Y. J. Wang, 2008. "Novel Optimal Guaranteed Cost Control of Uncertain Discrete Systems with Both State and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 139(1), pages 159-170, October.
- J. H. Park, 2005. "Delay-Dependent Criterion for Guaranteed Cost Control of Neutral Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 491-502, February.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- de Oliveira, Fúlvia S.S. & Souza, Fernando O., 2020. "Further refinements in stability conditions for time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 369(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- P. T. Nam & P. N. Pathirana & H. Trinh, 2013. "Exponential Convergence of Time-Delay Systems in the Presence of Bounded Disturbances," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 843-852, June.
- V. N. Phat & Q. P. Ha & H. Trinh, 2010. "Parameter-dependent H ∞ Control for Time-varying Delay Polytopic Systems," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 58-70, October.
- Hien, Le Van & Trinh, Hieu, 2016. "Exponential stability of time-delay systems via new weighted integral inequalities," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 335-344.
- Park, Ju H. & Lee, S.M. & Kwon, O.M., 2009. "On exponential stability of bidirectional associative memory neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1083-1091.
- Watcharin Chartbupapan & Ovidiu Bagdasar & Kanit Mukdasai, 2020. "A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation," Mathematics, MDPI, vol. 8(1), pages 1-10, January.
- Chun Yin & Shouming Zhong & Xiaoyun Liu & Zijian Liu, 2011. "Novel Delay-Dependent Stabilization Criterion for Lur’e Systems with Sector-Restricted Nonlinearities and External Disturbances via PD Feedback Approach," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 81-99, October.
- Mobayen, Saleh & Majd, Vahid Johari & Sojoodi, Mahdi, 2012. "An LMI-based composite nonlinear feedback terminal sliding-mode controller design for disturbed MIMO systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 85(C), pages 1-10.
- T. Senthilkumar & P. Balasubramaniam, 2011. "Delay-Dependent Robust Stabilization and H ∞ Control for Nonlinear Stochastic Systems with Markovian Jump Parameters and Interval Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 100-120, October.
- K. Ramakrishnan & G. Ray, 2011. "Robust Stability Criteria for Uncertain Neutral Systems with Interval Time-Varying Delay," Journal of Optimization Theory and Applications, Springer, vol. 149(2), pages 366-384, May.
- Liu, Leipo & Han, Zhengzhi & Cai, Xiushan & Huang, Jun, 2010. "Robust stabilization of linear differential inclusion system with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 951-958.
- O. M. Kwon & J. H. Park & S. M. Lee, 2010. "An Improved Delay-Dependent Criterion for Asymptotic Stability of Uncertain Dynamic Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 145(2), pages 343-353, May.
More about this item
Keywords
Guaranteed cost control; Stability; Stabilization; Interval delay; Lyapunov method; Linear matrix inequality;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:152:y:2012:i:2:d:10.1007_s10957-011-9920-5. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.