The global asymptotic stability and stabilization in nonlinear cascade systems with delay
N. O. Sedova

This publication is cited in the following articles:

1. Natalia Sedova, Olga Druzhinina, “Asymptotic Stability of Time-Varying Nonlinear Cascade Systems with Delay via Lyapunov–Razumikhin Approach”, Mathematics, 14:3 (2026), 576  
2. O. V. Druzhinina, N. O. Sedova, “On the output stabilization problem: constructing a delay feedback for a chain of integrators”, Autom. Remote Control, 83:2 (2022), 180–190      
3. Mohsen Dlala, “Exponential Stability of Impulsive Cascaded Systems and its Application in Robot Control”, IEEE Access, 10 (2022), 6319  
4. Gökhan Göksu, Antoine Chaillet, “Integral input-to-state stable time-delay systems in cascade”, Automatica, 139 (2022), 110175  
5. Mohsen Dlala, “Rapid exponential stabilization of nonlinear continuous systems via event-triggered impulsive control”, Demonstratio Mathematica, 55:1 (2022), 470  
6. Cao N., Lynch A., “Predictor-Based Control Design For Uavs: Robust Stability Analysis and Experimental Results”, Int. J. Control, 94:6 (2021), 1529–1543        
7. Natalia Sedova, Olga Druzhinina, 2021 5th Scientific School Dynamics of Complex Networks and their Applications (DCNA), 2021, 165  
8. Goksu G., Chaillet A., “Analysis of Integral Input-to-State Stable Time-Delay Systems in Cascade”, IFAC PAPERSONLINE, 53:2 (2020), 6404–6409      
9. Natalia Sedova, Olga Druzhinina, 2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB), 2020, 1  
10. B. S. Kalitine, “Stability of Liénard equation”, Russian Math. (Iz. VUZ), 62:10 (2018), 15–25      
11. B. S. Kalitin, “Ob ustoichivosti differentsialnykh uravnenii tretego poryadka”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 2 (2018), 25–33  
12. Druzhinina O.V. Sedova N.O., “Analysis of Stability and Stabilization of Cascade Systems With Time Delay in Terms of Linear Matrix Inequalities”, J. Comput. Syst. Sci. Int., 56:1 (2017), 19–32    
13. Cao N., Lynch A.F., “Predictor-Based Controllers For Uavs With Input Delay”, 2017 IEEE International Conference on Advanced Intelligent Mechatronics (Aim), IEEE Asme International Conference on Advanced Intelligent Mechatronics, IEEE, 2017, 803–808  
14. Ning Cao, Alan F. Lynch, 2017 IEEE International Conference on Advanced Intelligent Mechatronics (AIM), 2017, 803  
15. Yiran Cao, Toshiki Oguchi, Lecture Notes in Control and Information Sciences, 474, Sensing and Control for Autonomous Vehicles, 2017, 495  
16. Alvarez-Aguirre A., van de Wouw N., Oguchi T., Nijmeijer H., “Predictor-Based Remote Tracking Control of a Mobile Robot”, IEEE Trans. Control Syst. Technol., 22:6 (2014), 2087–2102      
17. N. O. Sedova, “On the Path Following Problem for Nonholonomic Systems with Feedback Delays”, Autom. Remote Control, 74:8 (2013), 1348–1355          
18. B. S. Kalitin, R. Chabour, “Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations”, Russian Math. (Iz. VUZ), 56:5 (2012), 23–33      
19. Sedova N.O., “Issledovanie ustoichivosti nelineinykh nepreryvno-diskretnykh sistem upravleniya”, Vestnik mgtu stankin, 2012, no. 2, 86–91  
20. N. O. Sedova, “The design of digital stabilizing regulators for continuous systems based on the Lyapunov function approach”, Autom Remote Control, 73:10 (2012), 1734  
21. N. O. Sedova, “The design of digital stabilizing regulators for continuous systems based on the Lyapunov function approach”, Automation and Remote Control, 73:9 (2012), 1572–1580      
22. N. O. Sedova, “Sufficient stability conditions and stabilizing control design for delay differential systems of a special type”, J. Appl. Industr. Math., 6:1 (2012), 111–122