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International Journal of Control Volume 83, 2010 - Issue 8
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Original Articles

LMI-based H∞-optimal control with transients

Dmitry V. Balandin Department of Computational Mathematics and Cybernetics, Nizhny Novgorod State University, Gagarin ave., 23, Nizhny Novgorod 603950, Russia
&
Mark M. Kogan Department of Mathematics, Architecture and Civil Engineering State University, Il'yinskaya str., 65, Nizhny Novgorod 603950, RussiaCorrespondence[email protected]
Pages 1664-1673 | Received 02 Feb 2010, Accepted 15 Apr 2010, Published online: 22 Jul 2010

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Jingyao Wang, Zhisheng Duan, Yu Zhao, Guozheng Qin & Yingxin Yan. (2013) H∞ and H2 control of multi-agent systems with transient performance improvement. International Journal of Control 86:12, pages 2131-2145.
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Yuhang Kang, Delin Luo, Bin Xin, Jun Cheng, Tangwen Yang & Shaolei Zhou. (2023) Robust Leaderless Time-Varying Formation Control for Nonlinear Unmanned Aerial Vehicle Swarm System With Communication Delays. IEEE Transactions on Cybernetics 53:9, pages 5692-5705.
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D. V. Balandin, R. S. Biryukov & M. M. Kogan. (2022) Multicriteria Optimization of Induced Norms of Linear Operators: Primal and Dual Control and Filtering Problems. Journal of Computer and Systems Sciences International 61:2, pages 176-190.
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Dmitry V. Balandin, Ruslan S. Biryukov & Mark M. Kogan. (2021) Pareto suboptimal H ∞ controls with transients . Pareto suboptimal H ∞ controls with transients .
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B. T. Polyak, M. V. Khlebnikov & P. S. Shcherbakov. (2021) Linear Matrix Inequalities in Control Systems with Uncertainty. Automation and Remote Control 82:1, pages 1-40.
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Dmitry Balandin, Ruslan Biryukov & Mark Kogan. 2021. Mathematical Modeling and Supercomputer Technologies. Mathematical Modeling and Supercomputer Technologies 260 272 .
Jingyao Wang, Guanghui Wen, Zhisheng Duan & Jinhu Lu. (2020) Stochastic Consensus Control Integrated With Performance Improvement: A Consensus Region-Based Approach. IEEE Transactions on Industrial Electronics 67:4, pages 3000-3012.
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Koichi Suyama & Noboru Sebe. (2020) Initial state design for suppressing undesirable effects of controller switches. IFAC-PapersOnLine 53:2, pages 6452-6458.
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D. V. Balandin, R. S. Biryukov & M. M. Kogan. (2019) Optimal Control of Maximum Output Deviations of a Linear Time-Varying System on a Finite Horizon. Automation and Remote Control 80:10, pages 1783-1802.
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Dmitry V. Balandin, Ruslan S. Biryukov & Mark M. Kogan. (2019) Finite-horizon multi-objective generalized control with transients . Automatica 106, pages 27-34.
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Dmitry V. Balandin, Ruslan S. Biryukov & Mark M. Kogan. (2019) Optimal control of maximal output deviations over a finite horizon. Optimal control of maximal output deviations over a finite horizon.
Dmitry V. Balandin & Mark M. Kogan. (2019) Multi-objective generalized control . Automatica 99, pages 317-322.
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Xiaogong Lin, Kun Liang, Heng Li, Yuzhao Jiao & Jun Nie. (2018) Robust Finite-Time H-Infinity Control with Transients for Dynamic Positioning Ship Subject to Input Delay. Mathematical Problems in Engineering 2018, pages 1-17.
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Di Huang, Jin Chang & Yun Wang. (2017) Fault estimation of multi-agent systems with transient performance improvement. Fault estimation of multi-agent systems with transient performance improvement.
Dmitry V. Balandin & Mark M. Kogan. (2017) Pareto suboptimal controllers in multi-objective disturbance attenuation problems. Automatica 84, pages 56-61.
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Dmitry V. Balandin & Mark M. Kogan. (2017) Pareto Optimal Generalized H 2 -Control and Optimal Protection from Vibration * *This work was supported by the Ministry of Education and Science of the Russian Federation through Agreement No. 14.578.21.0110 (RFMEFI57815X0110).. IFAC-PapersOnLine 50:1, pages 4442-4447.
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Xiang-Gui Guo, Jian-Liang Wang, Fang Liao & Dong Wang. (2017) Quantized $H_{\infty}$ Consensus of Multiagent Systems With Quantization Mismatch Under Switching Weighted Topologies. IEEE Transactions on Control of Network Systems 4:2, pages 202-212.
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A. I. Malikov. (2017) Finite time control for one class of nonlinear systems with the H ∞ performance criterion. Journal of Computer and Systems Sciences International 56:3, pages 364-384.
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D. V. Balandin, R. S. Biryukov, M. M. Kogan & A. A. Fedyukov. (2017) Optimal stabilization of bodies in electromagnetic suspensions without measurements of their location. Journal of Computer and Systems Sciences International 56:3, pages 351-363.
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A. I. Malikov. (2017) State observer synthesis by measurement results for nonlinear Lipschitz systems with uncertain disturbances. Automation and Remote Control 78:5, pages 782-797.
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D. V. Balandin & M. M. Kogan. (2017) Pareto suboptimal controllers against coalitions of disturbances. Automation and Remote Control 78:2, pages 197-216.
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D. V. Balandin & M. M. Kogan. (2017) On Pareto set in control and filtering problems under stochastic and deterministic disturbances. Automation and Remote Control 78:1, pages 29-49.
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M. M. Kogan. (2016) Design of optimal and robust control with H ∞/γ 0 performance criterion. Automation and Remote Control 77:8, pages 1317-1333.
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Dmitry V. Balandin & Mark M. Kogan. (2016) Pareto suboptimal solutions under coalitions of disturbances. Pareto suboptimal solutions under coalitions of disturbances.
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Zhiguang Feng, James Lam, Shengyuan Xu & Shaosheng Zhou. (2015) H ∞ Control with Transients for Singular Systems . Asian Journal of Control 18:3, pages 817-827.
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R. S. Biryukov. (2016) Generalized H ∞-optimal control of continuous-discrete linear plant. Automation and Remote Control 77:3, pages 389-404.
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M. M. Kogan. (2015) The generalized H ∞-norm in the analysis and design of robust control systems. Journal of Computer and Systems Sciences International 54:6, pages 839-852.
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Jingyao Wang, Zhisheng Duan, Guanghui Wen & Guanrong Chen. (2014) Distributed robust control of uncertain linear multi‐agent systems. International Journal of Robust and Nonlinear Control 25:13, pages 2162-2179.
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Xiang-Gui Guo, Jian-Liang Wang & Fang Liao. (2015) Non-fragile H<inf>&#x221E;</inf> consensus of linear multi-agent systems with interval-bounded variations. Non-fragile H<inf>&#x221E;</inf> consensus of linear multi-agent systems with interval-bounded variations.
ZhiSheng Duan, Lin Huang, JianYing Yang & GuoZheng Qin. (2015) On decoupled or coupled control of bank-to-turn missilesBTT导弹解耦与耦合控制研究. Science China Information Sciences 58:5, pages 1-13.
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M. M. Kogan. (2014) Optimal estimation and filtration under unknown covariances of random factors. Automation and Remote Control 75:11, pages 1964-1981.
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D. V. Balandin, M. M. Kogan, L. N. Krivdina & A. A. Fedyukov. (2014) Design of generalized discrete-time H ∞-optimal control over finite and infinite intervals. Automation and Remote Control 75:1, pages 1-17.
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Zhiguang Feng, James Lam, Shengyuan Xu & Shaosheng Zhou. (2013) H<inf>&#x221E;</inf> performance analysis with transients for singular systems. H<inf>&#x221E;</inf> performance analysis with transients for singular systems.
D. V. Balandin & M. M. Kogan. (2013) Minimax filtering: γ 0-optimal observers and generalized H ∞-optimal filters. Automation and Remote Control 74:4, pages 575-587.
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D. V. Balandin & M. M. Kogan. (2013) Generalized H ∞-optimal filtering under external and initial perturbations. Differential Equations 48:11, pages 1483-1491.
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Dmitry V. Balandin, Mark M. Kogan & Larisa N. Krivdina. (2012) LMI based time-invariant observers and controllers in H∞ problems with transients*. IFAC Proceedings Volumes 45:11, pages 466-471.
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. (2010) Robust and nonlinear control literature survey (no. 21). International Journal of Robust and Nonlinear Control 20:18, pages 2122-2126.
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