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2020 – today
- 2024
[j52]Ziyi He
, Guisheng Zhai, Baowei Wu, Yue-E Wang:
Reduced-order H∞ filter with controller design for switched systems. J. Frankl. Inst. 361(12): 106967 (2024)- 2023
- [j51]Helisyah Nur Fadhilah, Dieky Adzkiya, Didik Khusnul Arif, Guisheng Zhai:
Decentralized static output feedback controller design for linear interconnected systems. Int. J. Appl. Math. Comput. Sci. 33(1) (2023) - [j50]Nallappan Gunasekaran, R. Vadivel, Guisheng Zhai, S. Vinoth:
Finite-time stability analysis and control of stochastic SIR epidemic model: A study of COVID-19. Biomed. Signal Process. Control. 86(Part A): 105123 (2023) - [j49]N. Sakthivel, M. Mounika Devi, Guisheng Zhai:
Non-fragile control for consensus of nonlinear multiagent systems under periodic denial of service attacks. J. Frankl. Inst. 360(4): 2702-2728 (2023) - [j48]Feiyue Wu, Jie Lian, Dong Wang, Guisheng Zhai:
Prescribed Performance Bumpless Transfer Control for Switched Large-Scale Nonlinear Systems. IEEE Trans. Syst. Man Cybern. Syst. 53(8): 5139-5148 (2023) - 2022
- [j47]Yufang Chang, Guisheng Zhai, Lianglin Xiong, Bo Fu:
Letter An Extended Convex Combination Approach for Quadratic $\mathcal{L}_{2}$ Performance Analysis of Switched Uncertain Linear Systems. IEEE CAA J. Autom. Sinica 9(9): 1706-1709 (2022) - [j46]Bhagyaraj Thangavel, Sabarathinam Srinivasan, Kathamuthu Thamilmaran, Guisheng Zhai, Nallappan Gunasekaran:
Dynamical Analysis of T-S Fuzzy Financial Systems: A Sampled-Data Control Approach. Int. J. Fuzzy Syst. 24(4): 1944-1957 (2022) - [j45]Natarajan Sakthivel, C. A. Suruthi Sri, Guisheng Zhai:
Finite-time extended dissipativity control for interval type-2 fuzzy systems with resilient memory sampled-data controller. J. Frankl. Inst. 359(2): 1320-1346 (2022) - 2021
- [j44]Nallappan Gunasekaran, Sabarathinam Srinivasan, Guisheng Zhai, Qiang Yu:
Dynamical Analysis and Sampled-Data Stabilization of Memristor-Based Chua's Circuits. IEEE Access 9: 25648-25658 (2021) - [j43]Qiang Yu, Guisheng Zhai:
New stability criteria of switched systems with unstable modes under a weighted ADT scheme. Int. J. Syst. Sci. 52(13): 2735-2751 (2021) - [j42]Chi Huang, Jianquan Lu, Guisheng Zhai, Jinde Cao, Guoping Lu, Matjaz Perc:
Stability and Stabilization in Probability of Probabilistic Boolean Networks. IEEE Trans. Neural Networks Learn. Syst. 32(1): 241-251 (2021) - [c63]Fan Zhang, Meng Li, Guisheng Zhai, Yizhao Liu:
Multi-branch and Multi-scale Attention Learning for Fine-Grained Visual Categorization. MMM (1) 2021: 136-147 - 2020
- [j41]Qiang Yu, Guisheng Zhai:
Stability Analysis of Switched Systems Under Φ-Dependent Average Dwell Time Approach. IEEE Access 8: 30655-30663 (2020) - [j40]Yufang Chang, Guisheng Zhai, Lianglin Xiong, Bo Fu:
Global Quadratic Stabilization in Probability for Switched Linear Stochastic Systems. IEEE Access 8: 103610-103618 (2020) - [j39]Jun Mao, Zhengrong Xiang, Guisheng Zhai:
Global practical stabilisation of a class of switched nonlinear systems via sampled-data control. Int. J. Control 93(8): 1891-1906 (2020) - [j38]Nallappan Gunasekaran, Guisheng Zhai, Qiang Yu:
Sampled-data synchronization of delayed multi-agent networks and its application to coupled circuit. Neurocomputing 413: 499-511 (2020) - [j37]Nallappan Gunasekaran, Guisheng Zhai:
Sampled-data state-estimation of delayed complex-valued neural networks. Int. J. Syst. Sci. 51(2): 303-312 (2020) - [j36]Chi Huang, Jianquan Lu, Daniel W. C. Ho, Guisheng Zhai, Jinde Cao:
Stabilization of probabilistic Boolean networks via pinning control strategy. Inf. Sci. 510: 205-217 (2020) - [j35]Minqing Xiao, Guisheng Zhai, Chi Huang:
Quadratic stabilisation of switched affine systems. J. Control. Decis. 7(1): 1-23 (2020) - [j34]Xiuyong Ding, Guisheng Zhai:
Drazin inverse conditions for stability of positive singular systems. J. Frankl. Inst. 357(14): 9853-9870 (2020) - [j33]Guisheng Zhai, Satoshi Nakamura, Mardlijah:
A Unified Approach to Consensus Control of Three-Link Manipulators. J. Intell. Robotic Syst. 97(1): 3-15 (2020) - [c62]Minqing Xiao, Guisheng Zhai, Qiang Yu, Jie Lian:
Switching Output Feedback Control of LTI Systems. ICCA 2020: 1032-1037 - [i1]Fan Zhang, Guisheng Zhai, Meng Li, Yizhao Liu:
Three-branch and Mutil-scale learning for Fine-grained Image Recognition (TBMSL-Net). CoRR abs/2003.09150 (2020)
2010 – 2019
- 2019
- [j32]Yufang Chang, Guisheng Zhai, Bo Fu, Lianglin Xiong:
Quadratic stabilization of switched uncertain linear systems: a convex combination approach. IEEE CAA J. Autom. Sinica 6(5): 1116-1126 (2019) - [j31]Nallappan Gunasekaran, Guisheng Zhai:
Stability analysis for uncertain switched delayed complex-valued neural networks. Neurocomputing 367: 198-206 (2019) - [j30]Jun Mao, Zhengrong Xiang, Guisheng Zhai:
Sampled-data control of a class of switched nonlinear systems under asynchronous switching. J. Frankl. Inst. 356(4): 1924-1943 (2019) - [c61]Prima Aditya, Erna Apriliani, Guisheng Zhai, Didik Khusnul Arif:
Formation Control of Multi-robot Motion Systems and State Estimation using Extended Kalman Filter. ICEEI 2019: 99-104 - [c60]Helisyah Nur Fadhilah, Didik Khusnul Arif, Fatmawati, Dieky Adzkiya, Guisheng Zhai:
Centralized and decentralized Hs∞ controller design for storey building systems using matrix inequality approach. ICEEI 2019: 105-110 - 2018
- [j29]Wenzhi Li, Chi Huang, Guisheng Zhai:
Quadratic Performance Analysis of Switched Affine Time-Varying Systems. Int. J. Appl. Math. Comput. Sci. 28(3): 429-440 (2018) - [j28]Chi Huang, Guisheng Zhai, Gesheng Xu:
Necessary and sufficient conditions for consensus in third order multi-agent systems. IEEE CAA J. Autom. Sinica 5(6): 1044-1053 (2018) - [j27]Gesheng Xu, Chi Huang, Guisheng Zhai:
A necessary and sufficient condition for designing formation of discrete-time multi-agent systems with delay. Neurocomputing 315: 48-58 (2018) - 2016
- [j26]Weiming Xiang, Guisheng Zhai, Corentin Briat:
Stability Analysis for LTI Control Systems With Controller Failures and Its Application in Failure Tolerant Control. IEEE Trans. Autom. Control. 61(3): 811-816 (2016) - 2015
- [j25]Guisheng Zhai:
A Generalization of the Graph Laplacian with Application to a Distributed Consensus Algorithm. Int. J. Appl. Math. Comput. Sci. 25(2): 353-360 (2015) - [j24]Weiming Xiang, Guisheng Zhai, Jian Xiao:
Stability analysis and failure tolerant control for discrete-time linear systems with controller failure. Int. J. Control 88(3): 559-570 (2015) - [j23]Guisheng Zhai, Chi Huang:
A note on basic consensus problems in multi-agent systems with switching interconnection graphs. Int. J. Control 88(3): 631-639 (2015) - [j22]Weiming Xiang, Jian Xiao, Guisheng Zhai:
Dissipativity and dwell time specifications of switched discrete-time systems and its applications in H∞ and robust passive control. Inf. Sci. 320: 206-222 (2015) - [j21]Zhaoxia Duan, Guisheng Zhai, Zhengrong Xiang:
State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay. J. Frankl. Inst. 352(3): 1235-1249 (2015) - 2013
- [j20]Guisheng Zhai, Ning Chen, Weihua Gui:
Decentralized design of interconnected H∞ feedback control systems with quantized signals. Int. J. Appl. Math. Comput. Sci. 23(2): 317-325 (2013) - [j19]Lei Zhou, Daniel W. C. Ho, Guisheng Zhai:
Stability analysis of switched linear singular systems. Autom. 49(5): 1481-1487 (2013) - 2012
- [j18]Guisheng Zhai, Xuping Xu, Daniel W. C. Ho:
Stability of switched linear discrete-time descriptor systems: a new commutation condition. Int. J. Control 85(11): 1779-1788 (2012) - [c59]Guisheng Zhai:
Quadratic stabilizability and ℌ℞ disturbance attenuation of switched linear systems via state and output feedback. CDC 2012: 1935-1940 - 2011
- [j17]Guisheng Zhai, Shohei Okuno, Joe Imae, Tomoaki Kobayashi:
A New Consensus Algorithm for Multi-Agent Systems via Decentralized Dynamic Output Feedback. J. Intell. Robotic Syst. 63(2): 309-322 (2011) - [c58]Guisheng Zhai, Xuping Xu, Daniel W. C. Ho:
Stability of switched linear discrete-time descriptor systems: A commutation condition. ACC 2011: 2613-2618 - 2010
- [j16]Guisheng Zhai, Xuping Xu:
A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching. Int. J. Appl. Math. Comput. Sci. 20(2): 249-259 (2010) - [c57]Guisheng Zhai, Junya Takeda, Joe Imae, Tomoaki Kobayashi:
An approach to achieving consensus in nonholonomic systems. ISIC 2010: 1476-1481 - [c56]Guisheng Zhai, Xuping Xu:
Commutation condition for stability analysis of switched linear descriptor systems. ISIC 2010: 2088-2093
2000 – 2009
- 2009
- [j15]Guisheng Zhai, Shohei Okuno, Joe Imae, Tomoaki Kobayashi:
A matrix inequality based design method for consensus problems in multi-agent systems. Int. J. Appl. Math. Comput. Sci. 19(4): 639-646 (2009) - [j14]Joe Imae, Koichiro Yoshimura, Guisheng Zhai, Tomoaki Kobayashi:
Real-time optimisation for parallel-parking control of four-wheeled vehicles. Int. J. Model. Identif. Control. 6(3): 255-262 (2009) - [j13]Weihua Gui, Ning Chen, Guisheng Zhai:
Robust Decentralized H2 Control of Multi-Channel Descriptor Systems with Norm-Bounded Parametric Uncertainties. Kybernetika 45(1): 49-62 (2009) - [j12]Guisheng Zhai, Ning Chen, Weihua Gui:
A Study on Decentralized H∞ Feedback Control Systems with Local Quantizers. Kybernetika 45(1): 137-150 (2009) - [c55]Guisheng Zhai, Shohei Okuno, Joe Imae, Tomoaki Kobayashi:
A new consensus algorithm for multi-agent systems via dynamic output feedback control. CCA/ISIC 2009: 890-895 - [c54]Xuping Xu, Guisheng Zhai, Shouling He:
On practical stabilizability of discrete-time switched affine systems. CDC 2009: 2144-2149 - [c53]Guisheng Zhai, Xuping Xu:
A unified approach to analysis of switched linear descriptor systems under arbitrary switching. CDC 2009: 3897-3902 - [c52]Guisheng Zhai, Shohei Okuno, Joe Imae, Tomoaki Kobayashi:
An extended consensus algorithm for multi-agent systems. CDC 2009: 4772-4777 - [c51]Guisheng Zhai, Yoshiyuki Miyoshi, Joe Imae, Tomoaki Kobayashi:
Switching controller design for nonholonomic four-wheeled vehicles via finite-time stabilization method. ICONS 2009: 526-531 - [c50]Guisheng Zhai, Junya Takeda, Tomoaki Kobayashi, Joe Imae:
A new definition of formation with an algorithm. ICONS 2009: 532-536 - 2008
- [c49]Ning Chen, Weihua Gui, Guisheng Zhai:
Decentralized Generalized H2 Control of Multi-Channel Uncertain Systems with Time-Delays. ICNSC 2008: 201-205 - 2007
- [j11]Guisheng Zhai, Xuping Xu, Hai Lin, Derong Liu:
Extended Lie Algebraic Stability Analysis for Switched Systems with Continuous-Time and Discrete-Time Subsystems. Int. J. Appl. Math. Comput. Sci. 17(4): 447-454 (2007) - [c48]Guisheng Zhai, Isatada Matsune, Joe Imae, Tomoaki Kobayashi:
A Note on Multiple Lyapunov Functions and Stability Condition for Switched and Hybrid Systems. CCA 2007: 226-231 - [c47]Ning Chen, Guisheng Zhai, Weihua Gui:
Robust decentralized H∞ control of multi-channel uncertain descriptor systems with time-delay. CCA 2007: 1577-1582 - [c46]Guisheng Zhai, Xuping Xu, Joe Imae, Tomoaki Kobayashi:
Qualitative Analysis of Switched Discrete-Time Descriptor Systems. ISIC 2007: 196-201 - [c45]Xuping Xu, Guisheng Zhai, Shouling He:
Stabilizability and Practical Stabilizability of Continuous-Time Switched Systems: A Unified View. ACC 2007: 663-668 - [c44]Xuping Xu, Shouling He, Guisheng Zhai:
Practical Uniform Asymptotic Stabilizability of Switched Systems with Time-Varying Subsystems. ACC 2007: 681-686 - 2006
- [j10]Xinkai Chen, Guisheng Zhai, Toshio Fukuda:
Robust On-Line Frequency Identification for a Sinusoid. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 89-A(11): 3298-3305 (2006) - [j9]Guisheng Zhai, Derong Liu, Joe Imae, Tomoaki Kobayashi:
Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems. IEEE Trans. Circuits Syst. II Express Briefs 53-II(2): 152-156 (2006) - [c43]Joe Imae, Morihiko Nagata, Tomoaki Kobayashi, Guisheng Zhai:
Some Properties of Algorithmic Control for Real-time Optimization. ICARCV 2006: 1-6 - [c42]Tomoaki Kobayashi, Junichi Maenishi, Joe Imae, Guisheng Zhai:
Real Time Control for 4-wheeled Vehicles via Algorithmic Control Incorporating Computation Time. ICARCV 2006: 1-6 - [c41]Xinkai Chen, Guisheng Zhai:
Analysis and Simulation of Synchronization for Large Scale Networks. ICIC (3) 2006: 392-401 - 2005
- [j8]Guisheng Zhai, Naoki Koyama, Masaharu Yoshida, Shinichi Murao:
Decentralized H∞ Controller Design for Descriptor Systems. Control. Intell. Syst. 33(3) (2005) - [j7]Cheolhwan Oh, Stanislaw H. Zak, Guisheng Zhai:
Autoassociative memory design using interconnected generalized brain-state-in-a-box neural networks. Int. J. Neural Syst. 15(3): 181-196 (2005) - [j6]Ye Sun, Anthony N. Michel, Guisheng Zhai:
Stability of Discontinuous Retarded Functional Differential Equations With Applications. IEEE Trans. Autom. Control. 50(8): 1090-1105 (2005) - [j5]Xuping Xu, Guisheng Zhai:
Practical stability and stabilization of hybrid and switched systems. IEEE Trans. Autom. Control. 50(11): 1897-1903 (2005) - [c40]Hai Lin, Guisheng Zhai, Panos J. Antsaklis:
Asymptotic disturbance attenuation property analysis for discrete-time uncertain switched linear systems. ACC 2005: 1-6 - [c39]Xuping Xu, Guisheng Zhai:
New results on practical stabilization and practical reachability of switched systems. ACC 2005: 3784-3789 - [c38]Guisheng Zhai, Hai Lin, Xuping Xu, Joe Imae, Tomoaki Kobayashi:
Analysis of switched normal discrete-time systems. ACC 2005: 3800-3805 - [c37]Joe Imae, Kazutaka Yoshimizu, Tomoaki Kobayashi, Guisheng Zhai:
Algorithmic control for real-time optimization of nonlinear systems: Simulations and experiments. CDC/ECC 2005: 3729-3734 - [c36]Xuping Xu, Guisheng Zhai:
Some Results on Practical Asymptotic Stabilizability of Switched Systems. CDC/ECC 2005: 3998-4003 - [c35]Guisheng Zhai, Hideaki Kondo, Joe Imae, Tomoaki Kobayashi:
Hybrid Static Output Feedback Stabilization of Two-Dimensional LTI Systems: A Geometric Method. CDC/ECC 2005: 6911-6916 - [c34]Guisheng Zhai, Bo Hu, Joe Imae, Tomoaki Kobayashi:
A unified procedure for locating the stabilizable regions of two-dimensional switched systems. ISCAS (3) 2005: 2823-2826 - [c33]Guisheng Zhai, Derong Liu, Joe Imae, Tomoaki Kobayashi:
Stability analysis for switched systems with continuous-time and discrete-time subsystems: a Lie algebraic approach. ISCAS (4) 2005: 3183-3186 - 2004
- [j4]Xinkai Chen, Guisheng Zhai, Toshio Fukuda:
An approximate inverse system for nonminimum-phase systems and its application to disturbance observer. Syst. Control. Lett. 52(3-4): 193-207 (2004) - [c32]Guisheng Zhai, Y. Matsumoto, Xinkai Chen, Yanchun Mi:
Hybrid stabilization of linear time-invariant systems with two quantizers. ISIC 2004: 305-309 - [c31]Guisheng Zhai, Xinkai Chen:
Stability and H∞ disturbance attenuation analysis for symmetric Takagi-Sugeno fuzzy systems. ISIC 2004: 310-315 - [c30]Guisheng Zhai, Naoki Koyama, Fredrik Bruzelius, Masaharu Yoshida:
Strict LMI conditions for stability and stabilization of discrete-time descriptor systems. ISIC 2004: 495-499 - [c29]Guisheng Zhai, Hai Lin, Anthony N. Michel, Kazumori Yasuda:
Stability analysis for switched systems with continuous-time and discrete-time subsystems. ACC 2004: 4555-4560 - [c28]Joe Imae, Yoshiteru Kikuchi, Nobuyuki Ohtsuki, Tomoaki Kobayashi, Guisheng Zhai:
Design of nonlinear control systems by means of differential genetic programming. CDC 2004: 2734-2739 - [c27]Joe Imae, Hiroki Sagami, Tomoaki Kobayashi, Guisheng Zhai:
Nonlinear control design method based on state-dependent Riccati equation (SDRE) via quasi-Newton method. CDC 2004: 2740-2741 - [c26]Guisheng Zhai, Hai Lin, Xuping Xu, Anthony N. Michel:
Stability analysis and design of switched normal systems. CDC 2004: 3253-3258 - [c25]Xuping Xu, Guisheng Zhai:
On Practical Stability and Stabilization of Hybrid and Switched Systems. HSCC 2004: 615-630 - 2003
- [c24]Hai Lin, Guisheng Zhai, Panos J. Antsaklis:
Set-valued observer design for a class of uncertain linear systems with persistent disturbance. ACC 2003: 1902-1907 - [c23]Guisheng Zhai, Ye Sun, Xinkai Chen, Anthony N. Michel:
Stability and ℒ2 gain analysis for switched symmetric systems with time delay. ACC 2003: 2682-2687 - [c22]Ye Sun, Anthony N. Michel, Guisheng Zhai:
Stability of discontinuous retarded functional differential equations with applications to delay systems. ACC 2003: 3387-3392 - [c21]Hai Lin, Guisheng Zhai, Panos J. Antsaklis:
Robust stability and disturbance attenuation analysis of a class of networked control systems. CDC 2003: 1182-1187 - [c20]Guisheng Zhai, Anthony N. Michel:
Generalized practical stability analysis of discontinuous dynamical systems. CDC 2003: 1663-1668 - [c19]Guisheng Zhai, Hai Lin, Panos J. Antsaklis:
Controller failure time analysis for symmetric H∞ control systems. CDC 2003: 2459-2464 - [c18]Guisheng Zhai, Shinichi Murao, Naoki Koyama, Masaharu Yoshida:
Low order H∞ controller design: An LMI approach. ECC 2003: 3070-3075 - [c17]Guisheng Zhai, Xinkai Chen, Ye Sun, Anthony N. Michel:
L2 gain analysis for switched symmetric systems with time delay under arbitrary switching. ISCAS (3) 2003: 220-223 - 2002
- [c16]Bo Hu, Guisheng Zhai, Anthony N. Michel:
Stabilization of two-dimensional single-input bilinear systems with a finite number of constant feedback controllers. ACC 2002: 1874-1879 - [c15]Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel:
Qualitative analysis of discrete-time switched systems. ACC 2002: 1880-1885 - [c14]Guisheng Zhai, Kenzou Tamaoki, Shinichi Murao:
Low-order H∞ controller design for discrete-time linear systems. ACC 2002: 2202-2203 - [c13]Xinkai Chen, Guisheng Zhai:
Sliding mode method based vibration control of flexible arms. ACC 2002: 2374-2379 - [c12]Guisheng Zhai, Shigemasa Takai, Anthony N. Michel, Xuping Xu:
Improving closed-loop stability of second-order LTI systems by hybrid static output feedback. CDC 2002: 2792-2797 - [c11]Guisheng Zhai, Anthony N. Michel:
On practical stability of switched systems. CDC 2002: 3488-3493 - [c10]Guisheng Zhai:
Stability and H;∞ disturbance attenuation analysis for LTI control systems with controller failures. CDC 2002: 3869-3874 - [c9]Guisheng Zhai, Xinkai Chen, Masao Ikeda, Kazunori Yasuda:
Stability and ℒ2 gain analysis for a class of switched symmetric systems. CDC 2002: 4395-4400 - [c8]Guisheng Zhai, Bo Hu, Ye Sun, Anthony N. Michel:
Analysis of time-controlled switched systems using stability preserving mappings. ISCAS (1) 2002: 241-244 - [c7]Guisheng Zhai, Xinkai Chen:
Stabilizing linear time-invariant systems with finite-state hybrid static output feedback. ISCAS (1) 2002: 249-252 - 2001
- [j3]Guisheng Zhai, Masao Ikeda, Yasumasa Fujisaki:
Decentralized Hinfinity controller design: a matrix inequality approach using a homotopy method. Autom. 37(4): 565-572 (2001) - [j2]Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel:
Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. Int. J. Syst. Sci. 32(8): 1055-1061 (2001) - [j1]Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel:
Disturbance attenuation properties of time-controlled switched systems. J. Frankl. Inst. 338(7): 765-779 (2001) - [c6]Guisheng Zhai, Xinkai Chen, Shigemasa Takai, Kazunori Yasuda:
Controller failure time analysis for H∞ control systems. CDC 2001: 1029-1030 - [c5]Guisheng Zhai:
Quadratic stabilizability of discrete-time switched systems via state and output feedback. CDC 2001: 2165-2166 - [c4]Guisheng Zhai, Shigemasa Takai, Kazunori Yasuda:
Stability analysis of linear time-invariant systems with controller failures. ECC 2001: 138-142 - 2000
- [c3]Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel:
Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach. ACC 2000: 200-204 - [c2]Bo Hu, Guisheng Zhai, Anthony N. Michel:
Hybrid output feedback stabilization of two-dimensional linear control systems. ACC 2000: 2184-2188 - [c1]Bo Hu, Guisheng Zhai, Anthony N. Michel:
Common quadratic Lyapunov-like function with associated switching regions for two unstable second-order LTI systems. CDC 2000: 1391-1396
Coauthor Index
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