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Takeshi Hatanaka
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2020 – today
- 2025
- [j29]Mengmou Li, Khaled Laib, Takeshi Hatanaka, Ioannis Lestas:
Convergence rate bounds for the mirror descent method: IQCs, Popov criterion and Bregman divergence. Autom. 171: 111973 (2025) - 2024
- [j28]A. Daniel Carnerero, Taichi Tanaka, Mengmou Li, Takeshi Hatanaka, Yasuaki Wasa, Kenji Hirata, Yoshiaki Ushifusa, Takanori Ida:
Net-Zero Energy House-Oriented Linear Programming for the Sizing Problem of Photovoltaic Panels and Batteries. IEEE Access 12: 80429-80441 (2024) - [j27]Takeshi Hatanaka, Yuki Nishimura, Masaaki Nagahara, Satoshi Satoh, Kazuma Sekiguchi, Hyo-Sung Ahn, José María Maestre, Srikant Sukumar, Gennaro Notomista:
Special issue on recent advances in nonlinear robot control technology (part I). Adv. Robotics 38(6): 367 (2024) - [j26]Takeshi Hatanaka, Yuki Nishimura, Masaaki Nagahara, Satoshi Satoh, Kazuma Sekiguchi, Hyo-Sung Ahn, José M. Maestre, Srikant Sukumar, Gennaro Notomista:
Special issue on recent advances in nonlinear robot control technology (Part II). Adv. Robotics 38(9-10): 589-590 (2024) - [c55]Atsushi Kitashiba, Ryo Oda, Takeshi Hatanaka:
Semi-Autonomous Full 3D Robot Operation with Variable Autonomy Through Gaussian Process Regression. ACC 2024: 827-832 - [c54]Toshiyuki Oshima, Yo Toyomoto, Takeshi Hatanaka:
Online Coverage Path Generation for Aquatic Environmental Monitoring with Multiple USVs through Constraint-based Control. CCTA 2024: 294-301 - [i16]A. Daniel Carnerero, Taichi Tanaka, Mengmou Li, Takeshi Hatanaka, Yasuaki Wasa, Kenji Hirata, Yoshiaki Ushifusa, Takanori Ida:
ZEH-oriented Linear Programming for the Sizing Problem of Photovoltaic Panels and Batteries. CoRR abs/2401.07425 (2024) - [i15]Zhiyuan Lu, Muhammad Hanif, Takumi Shimizu, Takeshi Hatanaka:
Angle-Aware Coverage with Camera Rotational Motion Control. CoRR abs/2404.13915 (2024) - 2023
- [j25]Masaaki Nagahara, Kai Cai, Debasish Chatterjee, Nikhil Chopra, Takeshi Hatanaka, Yutaka Hori, Hideaki Ishii, Daniel E. Quevedo, Michel A. Reniers:
Special issue on control technology for networked and distributed robotics. Adv. Robotics 37(1-2): 1 (2023) - [j24]Masaaki Nagahara, Kai Cai, Debasish Chatterjee, Nikhil Chopra, Takeshi Hatanaka, Yutaka Hori, Hideaki Ishii, Daniel E. Quevedo, Michel A. Reniers:
Special issue on control technology for networked and distributed robotics (Part II). Adv. Robotics 37(3): 155 (2023) - [j23]Toshiyuki Oshima, Shunya Yamashita, Junya Yamauchi, Tatsuya Ibuki, Michio Seto, Takeshi Hatanaka:
Loop-shaped distributed learning of an object with data-independent performance certificates. Adv. Robotics 37(3): 169-182 (2023) - [j22]Shunya Yamashita, Kodai Irifune, Takeshi Hatanaka, Yasuaki Wasa, Kenji Hirata, Kenko Uchida:
Passivity-based analysis and design for population dynamics with conformity biases. Autom. 158: 111300 (2023) - 2022
- [j21]Takumi Shimizu, Shunya Yamashita, Takeshi Hatanaka, Kuniaki Uto, Martina Mammarella, Fabrizio Dabbene:
Angle-Aware Coverage Control for 3-D Map Reconstruction With Drone Networks. IEEE Control. Syst. Lett. 6: 1831-1836 (2022) - [j20]Paula Chanfreut, José María Maestre, Takeshi Hatanaka, Eduardo F. Camacho:
Fast Clustering for Multi-agent Model Predictive Control. IEEE Trans. Control. Netw. Syst. 9(3): 1544-1555 (2022) - [c53]Masaya Suenaga, Takumi Shimizu, Takeshi Hatanaka, Kuniaki Uto, Martina Mammarella, Fabrizio Dabbene:
Experimental Study on Angle-aware Coverage Control with Application to 3-D Visual Map Reconstruction. CCTA 2022: 327-333 - [c52]Javier G. Martin, Muhammad Hanif, Takeshi Hatanaka, José M. Maestre, Eduardo F. Camacho:
Predictive Receding-Horizon Multi-Robot Task Allocation with Moving Tasks. ECC 2022: 2030-2035 - [i14]Martina Mammarella, Cesare Donati, Takumi Shimizu, Masaya Suenaga, Lorenzo Comba, Alessandro Biglia, Kuniaki Uto, Takeshi Hatanaka, Paolo Gay, Fabrizio Dabbene:
3D Map Reconstruction of an Orchard using an Angle-Aware Covering Control Strategy. CoRR abs/2202.02758 (2022) - 2021
- [j19]Hayato Dan, Takeshi Hatanaka, Junya Yamauchi, Takumi Shimizu, Masayuki Fujita:
Persistent Object Search and Surveillance Control With Safety Certificates for Drone Networks Based on Control Barrier Functions. Frontiers Robotics AI 8: 740460 (2021) - [j18]Makoto Yamashita, Naoki Hayashi, Takeshi Hatanaka, Shigemasa Takai:
Logarithmic Regret for Distributed Online Subgradient Method over Unbalanced Directed Networks. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 104-A(8): 1019-1026 (2021) - [j17]Naoya Tasaka, Satoshi Satoh, Takeshi Hatanaka, Katsuhiko Yamada:
Stochastic stabilization of rigid body motion of a spacecraft on SE(3). Int. J. Control 94(5): 1166-1173 (2021) - [c51]Junya Yamauchi, Marco Omainska, Thomas Beckers, Takeshi Hatanaka, Sandra Hirche, Masayuki Fujita:
Cooperative Visual Pursuit Control with Learning of Position Dependent Target Motion via Gaussian Process. CDC 2021: 2211-2217 - [c50]Shunya Yamashita, Mohd A. Khan, Takeshi Hatanaka, Kenko Uchida, Lang Tong:
Stability Analysis of Pricing Competition in Retail Electricity Market: On Impact of Bounded Rationality. CDC 2021: 5646-5652 - [i13]Shunya Yamashita, Kodai Irifune, Takeshi Hatanaka, Yasuaki Wasa, Kenji Hirata, Kenko Uchida:
Passivity-based Analysis and Design for Population Dynamics with Conformity Biases. CoRR abs/2111.10560 (2021) - [i12]Kornvik Tanpipat, Takeshi Hatanaka, Masatoshi Hiroura:
Automatic Generation of Ice Hockey Defensive Motion via Coverage Control and Control Barrier Functions. CoRR abs/2111.10804 (2021) - 2020
- [j16]Shunya Yamashita, Takeshi Hatanaka, Junya Yamauchi, Masayuki Fujita:
Passivity-based generalization of primal-dual dynamics for non-strictly convex cost functions. Autom. 112 (2020) - [j15]Mengmou Li, Shunya Yamashita, Takeshi Hatanaka, Graziano Chesi:
Smooth Dynamics for Distributed Constrained Optimization With Heterogeneous Delays. IEEE Control. Syst. Lett. 4(3): 626-631 (2020) - [j14]Tatsuya Miyano, Shunya Yamashita, Takeshi Hatanaka, Kazuki Shibata, Tomohiko Jimbo, Masayuki Fujita:
Continuous-Time Optimization Dynamics Mirroring ADMM Architecture and Passivity-Based Robustification Against Delays. IEEE Trans. Control. Netw. Syst. 7(3): 1296-1307 (2020) - [j13]Takeshi Hatanaka, Riku Funada, Masayuki Fujita:
Visual Surveillance of Human Activities via Gradient-Based Coverage Control on Matrix Manifolds. IEEE Trans. Control. Syst. Technol. 28(6): 2220-2234 (2020) - [c49]Hayato Dan, Junya Yamauchi, Takeshi Hatanaka, Masayuki Fujita:
Control Barrier Function-Based Persistent Coverage with Performance Guarantee and Application to Object Search Scenario. CCTA 2020: 640-647 - [c48]Junya Yamauchi, Thomas Beckers, Marco Omainska, Takeshi Hatanaka, Sandra Hirche, Masayuki Fujita:
Visual Pursuit Control with Target Motion Learning via Gaussian Process. SICE 2020: 1365-1372
2010 – 2019
- 2019
- [j12]Keisuke Yoshida, Masaki Inoue, Takeshi Hatanaka:
Instant MPC for Linear Systems and Dissipativity-Based Stability Analysis. IEEE Control. Syst. Lett. 3(4): 811-816 (2019) - [c47]Takeshi Hatanaka, Tomohiro Ikawa, Daichi Okamoto:
Remodeling of RC Circuit Building Thermodynamics Model with Solar Radiation Based on A Regularization-like Technique. ASCC 2019: 7-12 - [c46]Takumi Namba, Shunya Yamashita, Takeshi Hatanaka, Kiyotsugu Takaba:
Distributed Microgrid Management Using Passivity-based Generalized Primal-Dual Dynamics. CCTA 2019: 635-642 - [c45]Keisuke Yoshida, Masaki Inoue, Takeshi Hatanaka:
Community Energy Management Reflecting Consumers' Preferences: Preference-Independent Control System Design. ECC 2019: 1902-1907 - [c44]Riku Funada, Maria Santos, Junya Yamauchi, Takeshi Hatanaka, Masayuki Fujita, Magnus Egerstedt:
Visual Coverage Control for Teams of Quadcopters via Control Barrier Functions. ICRA 2019: 3010-3016 - [i11]Keisuke Yoshida, Masaki Inoue, Takeshi Hatanaka:
Instant MPC for linear systems and dissipativity-based stability analysis. CoRR abs/1903.00680 (2019) - 2018
- [j11]Made Widhi Surya Atman, Takeshi Hatanaka, Zhihua Qu, Nikhil Chopra, Junya Yamauchi, Masayuki Fujita:
Motion synchronization for semi-autonomous robotic swarm with a passivity-short human operator. Int. J. Intell. Robotics Appl. 2(2): 235-251 (2018) - [j10]Takeshi Hatanaka, Nikhil Chopra, Takayuki Ishizaki, Na Li:
Passivity-Based Distributed Optimization With Communication Delays Using PI Consensus Algorithm. IEEE Trans. Autom. Control. 63(12): 4421-4428 (2018) - [c43]Tam Willy Nguyen, Satoshi Nakano, Takeshi Hatanaka, Emanuele Garone, Masayuki Fujita:
A Distributed Reference Governor for High-Order LTI Swarm Systems. ACC 2018: 4925-4930 - [c42]Tatsuya Ibuki, Takeshi Hatanaka, Zhihua Qu:
Discrete-time 3-D Attitude Synchronization Based on Passivity Shortage. CDC 2018: 1293-1298 - [c41]Byung-Hun Lee, Koog-Hwan Oh, Takeshi Hatanaka, Hyo-Sung Ahn:
Distributed estimation of both position and orientation for networked systems on the sphere. SysCon 2018: 1-6 - [i10]Shunya Yamashita, Takeshi Hatanaka, Junya Yamauchi, Masayuki Fujita:
Passivity-Based Generalization of Primal-Dual Dynamics for Non-Strictly Convex Cost Functions. CoRR abs/1811.08640 (2018) - 2017
- [c40]Junya Yamauchi, Made Widhi Surya Atman, Takeshi Hatanaka, Nikhil Chopra, Masayuki Fujita:
Passivity-based control of human-robotic networks with inter-robot communication delays and experimental verification. AIM 2017: 628-633 - [c39]Junya Yamauchi, Kazuhiro Kizaki, Tatsuya Ibuki, Takeshi Hatanaka, Satoshi Satoh, Masayuki Fujita:
Performance analysis of visual feedback leader-following pose synchronization with stochastic uncertain leader in three dimensions. CCTA 2017: 349-354 - [c38]Takeshi Hatanaka, Xuan Zhang, Wenbo Shi, Minghui Zhu, Na Li:
An integrated design of optimization and physical dynamics for energy efficient buildings: A passivity approach. CCTA 2017: 1050-1057 - [c37]Yusuke Okajima, Kenji Hirata, Toshiyuki Murao, Takeshi Hatanaka, Vijay Gupta, Kenko Uchida:
Strategic behavior and market power of aggregators in energy demand networks. CDC 2017: 694-701 - [c36]Takeshi Hatanaka, Xuan Zhang, Wenbo Shi, Minghui Zhu, Na Li:
Physics-integrated hierarchical/distributed HVAC optimization for multiple buildings with robustness against time delays. CDC 2017: 6573-6579 - [i9]Takeshi Hatanaka, Xuan Zhang, Wenbo Shi, Minghui Zhu, Na Li:
An Integrated Design of Optimization and Physical Dynamics for Energy Efficient Buildings: A Passivity Approach. CoRR abs/1701.05577 (2017) - [i8]Junya Yamauchi, Made Widhi Surya Atman, Takeshi Hatanaka, Nikhil Chopra, Masayuki Fujita:
Passivity-Based Control of Human-Robotic Networks with Inter-Robot Communication Delays and Experimental Verification. CoRR abs/1702.05420 (2017) - [i7]Tam Willy Nguyen, Takeshi Hatanaka, Mamoru Doi, Emanuele Garone, Masayuki Fujita:
A Passivity-Based Distributed Reference Governor for Constrained Robotic Networks. CoRR abs/1703.06416 (2017) - 2016
- [j9]Takeshi Hatanaka, Yasuaki Wasa, Riku Funada, Alexandros G. Charalambides, Masayuki Fujita:
A Payoff-Based Learning Approach to Cooperative Environmental Monitoring for PTZ Visual Sensor Networks. IEEE Trans. Autom. Control. 61(3): 709-724 (2016) - [c35]Makoto Fukumoto, Takeshi Hatanaka:
Parallel distributed Interactive Genetic Algorithm for composing music melody suited to multiple users' feelings. ICIS 2016: 1-6 - [c34]Tam Willy Nguyen, Mamoru Doi, Takeshi Hatanaka, Emanuele Garone, Masayuki Fujita:
A passivity-based approach for constrained mobile robotic networks. CDC 2016: 4352-4357 - [i6]Takeshi Hatanaka, Nikhil Chopra, Takayuki Ishizaki, Na Li:
Passivity-Based Distributed Optimization with Communication Delays Using PI Consensus Algorithm. CoRR abs/1609.04666 (2016) - 2015
- [c33]Marc Forstenhaeusler, Riku Funada, Takeshi Hatanaka, Masayuki Fujita:
Experimental study of gradient-based visual coverage control on SO(3) toward moving object/human monitoring. ACC 2015: 2125-2130 - [c32]Junya Yamauchi, Satoshi Nakano, Takeshi Hatanaka, Masayuki Fujita, Satoshi Satoh:
Stochastic performance analysis of visual motion observer and experimental verifications. ASCC 2015: 1-6 - [c31]Takeshi Hatanaka, Nikhil Chopra, Masayuki Fujita:
Passivity-based bilateral human-swarm-interactions for cooperative robotic networks and human passivity analysis. CDC 2015: 1033-1039 - [c30]Takeshi Hatanaka, Nikhil Chopra, Mark W. Spong:
Passivity-based control of robots: Historical perspective and contemporary issues. CDC 2015: 2450-2452 - 2014
- [c29]Yasuaki Wasa, Fumiya Makihara, Akihito Kato, Takeo Kasajima, Takeshi Hatanaka, Masayuki Fujita:
Modeling of HVAC system in data center with super-multipoint temperature sensing technology. CCA 2014: 304-309 - [c28]Takeshi Hatanaka, Riku Funada, Masayuki Fujita:
3-D visual coverage based on gradient descent algorithm on matrix manifolds and its application to moving objects monitoring. ACC 2014: 110-116 - 2013
- [j8]Takeshi Hatanaka, Masayuki Fujita:
Cooperative Estimation of Averaged 3-D Moving Target Poses via Networked Visual Motion Observer. IEEE Trans. Autom. Control. 58(3): 623-638 (2013) - [c27]Takeshi Hatanaka, Yasuaki Wasa, Masayuki Fujita:
Game theoretic cooperative control of PTZ visual sensor networks for environmental change monitoring. CDC 2013: 7634-7640 - [c26]Tatsuya Ibuki, Yuto Namba, Takeshi Hatanaka, Masayuki Fujita:
Passivity-based discrete visual motion observer taking account of camera frame rates. CDC 2013: 7660-7665 - [i5]Takeshi Hatanaka, Yasuaki Wasa, Masayuki Fujita:
Cooperative Environmental Monitoring for PTZ Visual Sensor Networks: A Payoff-based Learning Approach. CoRR abs/1302.2017 (2013) - [i4]Takeshi Hatanaka, Riku Funada, Masayuki Fujita:
3-D Visual Coverage Based on Gradient Descent Techniques on Matrix Manifold and Its Application to Moving Objects Monitoring. CoRR abs/1309.5702 (2013) - 2012
- [j7]Takeshi Hatanaka, Yuji Igarashi, Masayuki Fujita, Mark W. Spong:
Passivity-Based Pose Synchronization in Three Dimensions. IEEE Trans. Autom. Control. 57(2): 360-375 (2012) - [c25]Tatsuhiko Goto, Takeshi Hatanaka, Masayuki Fujita:
Payoff-based Inhomogeneous Partially Irrational Play for potential game theoretic cooperative control: Convergence analysis. ACC 2012: 2380-2387 - [c24]Tatsuya Ibuki, Takeshi Hatanaka, Masayuki Fujita:
Passivity-based pose synchronization using only relative pose information under general digraphs. CDC 2012: 4709-4714 - [c23]Tatsuya Ibuki, Takeshi Hatanaka, Masayuki Fujita:
Passivity-based visual pose regulation for a moving target object in three dimensions: Structure design and convergence analysis. CDC 2012: 5655-5660 - [i3]Takeshi Hatanaka, Takayuki Nishi, Masayuki Fujita:
Vision-Based Cooperative Estimation of Averaged 3D Target Pose under Imperfect Visibility. CoRR abs/1204.2385 (2012) - 2011
- [j6]Masayuki Fujita, Takeshi Hatanaka, Mamoru Saito:
Decision dynamics in cooperative search based on evolutionary game theory. Commun. Inf. Syst. 11(1): 57-70 (2011) - [c22]Tatsuya Ibuki, Takeshi Hatanaka, Masayuki Fujita, Mark W. Spong:
Visual feedback leader-following pose synchronization: Convergence analysis. ACC 2011: 493-498 - [c21]Takeshi Hatanaka, Masayuki Fujita:
Passivity-based cooperative estimation of 3D target motion for visual sensor networks: Analysis on averaging performance. ACC 2011: 3399-3404 - [c20]Takeshi Hatanaka, Kenji Hirata, Masayuki Fujita:
Cooperative estimation of 3D target object motion via networked visual motion observers. CDC/ECC 2011: 4979-4984 - [c19]Tatsuya Ibuki, Takeshi Hatanaka, Masayuki Fujita, Mark W. Spong:
Visual feedback pose synchronization with a generalized camera model. CDC/ECC 2011: 4999-5004 - [i2]Tatsuhiko Goto, Takeshi Hatanaka, Masayuki Fujita:
Payoff-based Inhomogeneous Partially Irrational Play for Potential Game Theoretic Cooperative Control of Multi-agent Systems. CoRR abs/1107.4838 (2011) - [i1]Takeshi Hatanaka, Masayuki Fujita:
Cooperative Estimation of 3D Target Motion via Networked Visual Motion Observer. CoRR abs/1107.5108 (2011) - 2010
- [c18]Yutaka Iino, Takeshi Hatanaka, Masayuki Fujita:
Dynamic Topology Optimization for Dependable Sensor Networks. CCA 2010: 274-279 - [c17]Yasuhiro Uchiyama, Takeshi Hatanaka, Masayuki Fujita:
2DOF Control of an Electrodynamic Shaker using Explicit Receding Horizon Control for Feedforward Term. CCA 2010: 596-601 - [c16]Tatsuhiko Goto, Takeshi Hatanaka, Masayuki Fujita:
Potential game theoretic attitude coordination on the circle: Synchronization and balanced circular formation. ISIC 2010: 2314-2319 - [c15]Mamoru Saito, Takeshi Hatanaka, Masayuki Fujita:
Order formations in multi-agent search problem: A game theoretic approach. ACC 2010: 4768-4773 - [c14]Mamoru Saito, Takeshi Hatanaka, Masayuki Fujita:
Periodic optimal search control considering reduction of energy consumption. ACC 2010: 6442-6447 - [c13]Takeshi Hatanaka, Masayuki Fujita:
Passivity-based visual motion observer: From theory to distributed algorithms. CACSD 2010: 1210-1221 - [c12]Tatsuya Ibuki, Takeshi Hatanaka, Masayuki Fujita, Mark W. Spong:
Visual feedback attitude synchronization in leader-follower type visibility structures. CDC 2010: 2486-2491 - [c11]Takeshi Hatanaka, Masayuki Fujita, Francesco Bullo:
Vision-based cooperative estimation via multi-agent optimization. CDC 2010: 2492-2497
2000 – 2009
- 2009
- [j5]Azwirman Gusrialdi, Sandra Hirche, David Asikin, Takeshi Hatanaka, Masayuki Fujita:
Voronoi-based coverage control with anisotropic sensors and experimental case study. Intell. Serv. Robotics 2(4): 195-204 (2009) - [j4]Ronald Votel, David A. W. Barton, Takahide Gotou, Takeshi Hatanaka, Masayuki Fujita, Jeff Moehlis:
Equilibrium Configurations for a Territorial Model. SIAM J. Appl. Dyn. Syst. 8(3): 1234-1260 (2009) - [j3]Yuji Igarashi, Takeshi Hatanaka, Masayuki Fujita, Mark W. Spong:
Passivity-Based Attitude Synchronization in SE(3). IEEE Trans. Control. Syst. Technol. 17(5): 1119-1134 (2009) - [c10]Yutaka Iino, Takeshi Hatanaka, Masayuki Fujita:
Event-predictive control for energy saving of wireless networked control system. ACC 2009: 2236-2242 - [c9]Jay Wagenpfeil, Adrian Trachte, Takeshi Hatanaka, Masayuki Fujita, Oliver Sawodny:
Distributed decision making for task switching via a consensus-like algorithm. ACC 2009: 5761-5766 - [c8]Masayuki Fujita, Takeshi Hatanaka, Naoto Kobayashi, Tatsuya Ibuki, Mark W. Spong:
Visual motion observer-based pose synchronization: A passivity approach. CDC 2009: 2402-2407 - [c7]Jay Wagenpfeil, Adrian Trachte, Takeshi Hatanaka, Masayuki Fujita, Oliver Sawodny:
A distributed minimum restrictive connectivity maintenance algorithm. SyRoCo 2009: 365-370 - 2008
- [j2]Takeshi Hatanaka, Kiyotsugu Takaba:
Computations of probabilistic output admissible set for uncertain constrained systems. Autom. 44(2): 479-487 (2008) - [j1]Takeshi Hatanaka, Kiyotsugu Takaba:
Probabilistic output admissible set for systems with time-varying uncertainties. Syst. Control. Lett. 57(4): 315-321 (2008) - [c6]Yuji Igarashi, Takeshi Hatanaka, Masayuki Fujita, Mark W. Spong:
Passivity-based output synchronization in SE(3). ACC 2008: 723-728 - [c5]Azwirman Gusrialdi, Sandra Hirche, Takeshi Hatanaka, Masayuki Fujita:
Voronoi based coverage control with anisotropic sensors. ACC 2008: 736-741 - [c4]Yuji Igarashi, Takeshi Hatanaka, Masayuki Fujita, Mark W. Spong:
Passivity-based output synchronization and flocking algorithm in SE(3). CDC 2008: 1024-1029 - [c3]Azwirman Gusrialdi, Takeshi Hatanaka, Masayuki Fujita:
Coverage control for mobile networks with limited-range anisotropic sensors. CDC 2008: 4263-4268 - 2007
- [c2]Yuji Igarashi, Takeshi Hatanaka, Masayuki Fujita, Mark W. Spong:
Passivity-based 3D attitude coordination: Convergence and connectivity. CDC 2007: 2558-2565 - 2005
- [c1]Takeshi Hatanaka, Kiyotsugu Takaba:
Output Feedback Reference Governor for Nonlinear Systems. CDC/ECC 2005: 7558-7563
Coauthor Index
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