Linear, Time-varying Approximations to Nonlinear Dynamical Systems

A separation theorem for nonlinear systems

Kilicaslan, S., & Banks, S. P. (2009) · Automatica · doi:10.1016/j.automatica.2008.11.019 · Cited by 14

Four-dimensional Manifolds

Auroux, D., Stern, R. J., & Teichner, P. (2007) · Oberwolfach Reports · doi:10.4171/owr/2006/35 · Cited by 1

Fault-tolerant control of a hydraulic servo actuator via adaptive dynamic programming

Stojanović, V. (2023) · Mathematical Modelling and Control · doi:10.3934/mmc.2023016 · Cited by 136

State and parameter joint estimation of linear stochastic systems in presence of faults and non‐Gaussian noises

Stojanović, V., He, S., & Zhang, B. (2020) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.5131 · Cited by 126

Robust identification for fault detection in the presence of non-Gaussian noises: application to hydraulic servo drives

Stojanovic, V., & Prsic, D. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05616-4 · Cited by 109

Robust identification of pneumatic servo actuators in the real situations

Filipovic, V., Nedic, N., & Stojanovic, V. (2011) · Forschung im Ingenieurwesen · doi:10.1007/s10010-011-0144-5 · Cited by 109

Data-driven control of hydraulic servo actuator: An event-triggered adaptive dynamic programming approach

Djordjevic, V., Tao, H., Song, X., He, S., Gao, W., & Stojanovic, V. (2023) · Mathematical Biosciences and Engineering · doi:10.3934/mbe.2023376 · Cited by 107

Identification of time‐varying OE models in presence of non‐Gaussian noise: Application to pneumatic servo drives

Stojanović, V., & Nedić, N. N. (2016) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.3544 · Cited by 100

Data-driven control of hydraulic servo actuator based on adaptive dynamic programming

Djordjevic, V., Stojanović, V., Tao, H., Song, X., He, S., & Gao, W. (2022) · Discrete and Continuous Dynamical Systems - S · doi:10.3934/dcdss.2021145 · Cited by 93

Generalized Nonlinear Stabilizing Controllers for Hamiltonian-Passive Systems With Switching Devices

Konstantopoulos, G. C., & Alexandridis, A. T. (2012) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2012.2207724 · Cited by 54

Moving a hand-held object: Reconstruction of referent coordinate and apparent stiffness trajectories

Ambike, S., Zhou, T., Zatsiorsky, V. M., & Latash, M. L. (2015) · Neuroscience · doi:10.1016/j.neuroscience.2015.04.023 · Cited by 49

Stability and convergence analysis for a class of nonlinear passive systems

Konstantopoulos, G. C., & Alexandridis, A. T. (2011) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2011.6161273 · Cited by 39

Adaptive Control? But is so Simple!

Barkana, I. (2015) · Journal of Intelligent & Robotic Systems · doi:10.1007/s10846-015-0299-7 · Cited by 31

Bounded Nonlinear Stabilizing Speed Regulators for VSI-Fed Induction Motors in Field-Oriented Operation

Konstantopoulos, G. C., Alexandridis, A. T., & Mitronikas, E. D. (2013) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2013.2271256 · Cited by 25

Design of motion trajectory and tracking control for underactuated cart‐pendulum system

Zhang, A., She, J., Qiu, J., Yang, C., & Alsaadi, F. E. (2019) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4502 · Cited by 23

A Rapid Penetration Trajectory Optimization Method for Hypersonic Vehicles

Yan, B., Liu, R., Dai, P., Xing, M., & Liu, S. (2019) · International Journal of Aerospace Engineering · doi:10.1155/2019/1490342 · Cited by 22

On the Equivalence of Contraction and Koopman Approaches for Nonlinear Stability and Control

Yi, B., & Manchester, I. R. (2023) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2023.3319051 · Cited by 17

A robust adaptive control approach to missile autopilot design

Ouda, A. N. (2017) · International Journal of Dynamics and Control · doi:10.1007/s40435-017-0352-4 · Cited by 17

Controller design for personalized drug administration in cancer therapy: Successive approximation approach

Babaei, N., & Salamci, M. U. (2017) · Optimal Control Applications and Methods · doi:10.1002/oca.2372 · Cited by 15

Discontinuous gradient algorithm for finite-time estimation of time-varying parameters

Rueda-Escobedo, J. G., & Moreno, J. A. (2016) · International Journal of Control · doi:10.1080/00207179.2016.1159338 · Cited by 15

Modeling the neuro-mechanics of human balance when recovering from a fall: a continuous-time approach

Cerda-Lugo, A., González, A., Cárdenas, A., & Piovesan, D. (2020) · BioMedical Engineering OnLine · doi:10.1186/s12938-020-00811-1 · Cited by 13

Interval type-2 evolving fuzzy Kalman filter for processing of unobservable spectral components from uncertain experimental data

Gomes, D. C. D. S., & Serra, G. L. D. O. (2023) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2023.12.017 · Cited by 8

Single controller design based on integrated trajectory for three-link vertical underactuated manipulators with first active joint

Wang, L., Lai, X., Zhang, P., & Wu, M. (2021) · International Journal of Control · doi:10.1080/00207179.2021.1998638 · Cited by 8

Stabilization of linear time‐varying reduced‐order models: A feedback controller approach

Mojgani, R., & Balajewicz, M. J. (2020) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.6489 · Cited by 8

A cooperative guidance method for multi-hypersonic vehicles based on convex optimization

Liu, Z., Zheng, W., Wang, Y., Wen, G., Zhou, X. S., & Li, Z. (2020) · Chinese Automation Congress · doi:10.1109/cac51589.2020.9327833 · Cited by 7

Active damping filter for high bandwidth - Low ripple pulsed converters

Magallanes, F. C., Aguglia, D., Martins, C. D. A., & Viarouge, P. (2012) · International Power Electronics and Motion Control Conference (IPEMC) · doi:10.1109/epepemc.2012.6397284 · Cited by 7

A new methodology to compute stabilizing control laws for continuous‐time LTV systems

Agulhari, C. M., García, G., Tarbouriech, S., & Peres, P. L. D. (2018) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.4120 · Cited by 7

Model reference adaptive control design for nonlinear systems using linear time varying approximations

Kodalak, F., & Salamci, M. U. (2015) · International Carpathian Control Conference · doi:10.1109/carpathiancc.2015.7145074 · Cited by 6

New solutions to the 2D adaptive visual servoing problem with relaxed excitation requirements

Ortega, R. S., & Nuño, E. (2018) · International Journal of Adaptive Control and Signal Processing · doi:10.1002/acs.2933 · Cited by 6

Global Stabilization of Nonholonomic Mobile Robots via a Smooth Output Feedback Time-Varying Controller

Romero, J. G., & Nuño, E. (2019) · International Conference on Control and Automation · doi:10.1109/icca.2019.8899640 · Cited by 6

Least Lp-norm low-pass filter

Wiora, J. (2021) · Automatica · doi:10.1016/j.automatica.2021.109854 · Cited by 6

Penetration Trajectory Optimization of Hypersonic Gliding Vehicles with Multiple Constraints

Shen, Z., Yu, J., Dong, X., Li, Q., & Ren, Z. (2021) · Chinese Control Conference (CCC) · doi:10.23919/ccc52363.2021.9550639 · Cited by 5

Chaos synchronization between Josephson junction and classical chaotic system via iterative learning control

Cheng, C.-K., & Chao, P. C.-P. (2018) · 2018 IEEE International Conference on Applied System Invention (ICASI) · doi:10.1109/icasi.2018.8394512 · Cited by 5

Iterative lead compensation control of nonlinear marine vessels manoeuvring models

Herrero, E. R., Tomás-Rodríguez, M., & Velasco, F. J. (2014) · Applied Ocean Research · doi:10.1016/j.apor.2014.08.010 · Cited by 5

Motion Control Strategy Based on Integrated Trajectory for the Pendubot

Wang, L., Lai, X., Zhang, P., & Wu, M. (2021) · European Control Conference (ECC) · doi:10.23919/ecc54610.2021.9654846 · Cited by 4

Bilinear differential game for competitive advertising with stochastic disturbance and abrupt impact

Wang, T., Zhang, C., & Lu, Y. (2023) · Expert Systems with Applications · doi:10.1016/j.eswa.2023.120446 · Cited by 4

Determination of optimal feedback gain matrix for a class of nonlinear systems

Bilgin, N., & Salamci, M. U. (2014) · International Carpathian Control Conference · doi:10.1109/carpathiancc.2014.6843567 · Cited by 3

A novel interval type-2 fuzzy Kalman filtering and tracking of experimental data

Gomes, D. C. D. S., & Serra, G. L. D. O. (2021) · Evolving Systems · doi:10.1007/s12530-021-09381-6 · Cited by 3

Inertial Stabilization of Upright Posture while walking

Quintanilla, J., Perez, M., Balderas, R., González, A., Cárdenas, A., Maya, M., & Piovesan, D. (2021) · International IEEE/EMBS Conference on Neural Engineering · doi:10.1109/ner49283.2021.9441114 · Cited by 2

Infinite‐time partially observed nonzero‐sum bilinear affine‐quadratic stochastic differential game and its application to competitive advertising

Wang, T., Zhang, C., & Yang, L. (2023) · Asian Journal of Control · doi:10.1002/asjc.3190 · Cited by 2

Nonlinear Iterative Control of Manoeuvring Models for Transport over Water

Herrero, E. R., Tomás-Rodríguez, M., & Velasco, F. J. (2015) · Operations research, computer science. Interface series · doi:10.1007/978-3-319-16133-4_19 · Cited by 2

Modeling and twin nonlinear controller design for ac/dc voltage source converters driven dc series motors

Konstantopoulos, G. C., & Alexandridis, A. T. (2012) · Mediterranean Conference on Control and Automation (MED) · doi:10.1109/med.2012.6265670 · Cited by 2

Motion trajectory design and tracking control for underactuated Furata pendulum system

Zhang, A., Qiu, J., Luo, C., Yang, C., & Li, Z. (2017) · IEEE International Conference on Automation Science and Engineering (CASE) · doi:10.1109/coase.2017.8256155 · Cited by 2

Iterated nonlinear control of ship's manoeuvring models

Herrero, E. R., Tomás-Rodríguez, M., & González, F. J. V. (2013) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2013.6760864 · Cited by 1

Chaotic synchronizing systems via Iterative Learning Control

Cheng, C.-K., & Chao, P. C.-P. (2017) · International Conference on Applied System Innovation · doi:10.1109/icasi.2017.7988452 · Cited by 1

ANALISIS KESTABILAN MODEL MATEMATIKA PADA PENYEBARAN COVID VARIAN OMICRON DENGAN KONTROL VAKSINASI

Wulandari, B., Qomarudin, M. N. H., Sanwidi, A., & Robby, R. R. (2023) · Jurnal Matematika UNAND · doi:10.25077/jmua.12.1.15-34.2022 · Cited by 1

Trajectory Planning and Tracking Control for the Pendubot

Xu, B., Xin, X., Yan, Y., & Liu, Y. (2022) · China Automation Congress (CAC) · doi:10.1109/cac57257.2022.10055434 · Cited by 1

JOINT ESTIMATION OF STATES AND PARAMETERS OF LINEAR SYSTEMS WITH PARAMETER FAULTS UNDER NON-GAUSSIAN NOISES

Stojanović, V., Pršić, D., & Dubonjić, L. (2020) · Facta Universitatis Series Automatic Control and Robotics · doi:10.22190/fuacr1902113s · Cited by 1

Robust identification of linear state-space models in presence of component and sensor faults

Stojanović, V., & Pršić, D. (2019) · IMK-14 - Istrazivanje i razvoj · doi:10.5937/imk1901021s

Control of Vertical Underactuated Manipulator

Wu, J., Zhang, P., Meng, Q., & Wang, Y. (2023) · Springer eBooks · doi:10.1007/978-981-99-0890-5_3

Partially-Observed Bilinear Nonzero-Sum Stochastic Differential Game with Affine-Quadratic Discounted Payoff and Application to Competitive Advertising

Wang, T., Zhang, C., & Lu, Y. (2023) · Dynamic Games and Applications · doi:10.1007/s13235-023-00535-6

Cooperative Guidance Law Based on Cover Penetration in Two-on-two Engagement

Huang, J., Yu, J., Dong, X., Li, Q., & Ren, Z. (2023) · Youth Academic Annual Conference of Chinese Association of Automation (YAC) · doi:10.1109/yac59482.2023.10401847

ADP-based control of a two-wheeled self-balancing mobile robot

Stojanović, V., Đorđević, V., Dubonjić, L., & Nikolić, M. (2024) · Engineering Today · doi:10.5937/engtoday2400018s · Cited by 1

Stability analysis of two-degree-of-freedom control via constructing a linear continuous-time periodic system: Application to rotary inverted pendulum

Li, Y., & Xin, X. (2025) · Journal of Vibration and Control · doi:10.1177/10775463251330670

Linear, Time-varying Approximations to Nonlinear Dynamical Systems: with Applications in Control and Optimization

Tomás-Rodríguez, M., & Banks, S. P. (2010) · Medical Entomology and Zoology · Cited by 32

On the dynamics and control of nonlinear diagonal systems by the linear time-varying approximation technique

Stokes, I. (2008) · OpenGrey (Institut de l'Information Scientifique et Technique)

Nonlinear systems techniques for dynamical analysis and control

van de Wouw, N., Lefeber, E., Arteaga, I. L., & Publishing, S. I. (2017)

Approximating linearizations for nonlinear systems. [nonlinear control systems

Hunt, L. R., Su, R., & Meyer, G. E. (1986) · NASA Technical Reports Server (NASA)

Linear Time-Varying Systems

Bourlès, H., & Marinescu, B. (2011) · Lecture notes in control and information sciences · doi:10.1007/978-3-642-19727-7 · Cited by 30