Event-triggered nonfragile state estimation for delayed neural networks with additive and multiplicative gain variations Arumugam Karnan, Gnaneswaran Nagamani International Journal of Robust and Nonlinear Control, 2023 This article aims to design a nonfragile state estimator for neural networks with time‐varying delay under the event‐triggered mechanism. This paper addresses the two most common issues that exist in large‐scale networks: gain variations in the estimator design and lack of network resources. Based on the nonfragile paradigm and an event‐triggered mechanism, an estimator is being developed to address this issue, considering both the additive and multiplicative structured gain variations. Through the Lyapunov–Krasovskii functional method and linear matrix inequality technique, sufficient conditions are derived to guarantee the existence of the proposed state estimator by employing the generalized free‐weighting matrix inequality and improved reciprocally convex inequality. Moreover, the obtained linear matrix inequalities provide an explicit expression of the estimator gain matrix and triggering matrix. Eventually, two numerical examples are provided to authenticate the proposed findings.
Synchronization Control of Proportional Delayed Memristive Cellular Neural Networks: Robust Analysis Approach A. Karnan, G. Nagamani Proceedings 2021 International Conference on Control Automation Power and Signal Processing Caps 2021, 2021 This work examines the issue of synchronization control of proportional delayed memristor-based cellular neural networks (MCNNs). Due to the memristor's state transition char-acteristics, parameters mismatching will occur during the syn-chronization process. To overcome such parameters mismatching issue, a discontinuous robust control method is employed. A novel Lyapunov-Krasovskii functional (LKF) including delay parameter is considered for the proposed problem with relaxation on the positive definite constraint in the LKF. A delay-dependent stability criterion is provided and expressed as linear matrix inequalities (LMIs) using Lyapunov stability theory and robust analysis approach. Finally, the obtained theoretical result is verified through an illustrative example.
RECENT SCHOLAR PUBLICATIONS
Periodic Event-Triggered Prescribed Time Control of Euler-Lagrange Systems under State and Input Constraints CS Kashyap, A Karnan, P Jagtap, J Keshavan arXiv preprint arXiv:2510.02769 , 2025 2025
Design of an event-triggered extended dissipative state estimator for neural networks with multiple time-varying delays A Karnan, G Soundararajan, G Nagamani, A Kashkynbayev The European Physical Journal Special Topics 234 (8), 1511-1525 , 2025 2025 Citations: 5
Event‐triggered nonfragile state estimation for delayed neural networks with additive and multiplicative gain variations A Karnan, G Nagamani International Journal of Robust and Nonlinear Control 33 (16), 9929-9950 , 2023 2023 Citations: 1
Event-triggered extended dissipative synchronization for delayed neural networks with random uncertainties A Karnan, G Nagamani Chaos, Solitons & Fractals 175, 113982 , 2023 2023 Citations: 6
Synchronization of Uncertain Neural Networks with Additive Time-Varying Delays and General Activation Function A Karnan, G Nagamani Neural Processing Letters 55 (4), 4951-4971 , 2023 2023 Citations: 2
State Estimation and Synchronization Analysis for a class of neural networks with time varying Delays A Karnan https://shodhganga.inflibnet.ac.in/handle/10603/554832 , 2023 2023
Non-fragile state estimation for memristive cellular neural networks with proportional delay A Karnan, G Nagamani Mathematics and Computers in Simulation 193, 217-231 , 2022 2022 Citations: 13
Synchronization Control of Proportional Delayed Memristive Cellular Neural Networks: Robust Analysis Approach A Karnan, G Nagamani 2021 International Conference on Control, Automation, Power and Signal … , 2021 2021
Delay-dependent and independent state estimation for BAM cellular neural networks with multi-proportional delays G Nagamani, A Karnan, G Soundararajan Circuits, Systems, and Signal Processing 40 (7), 3179-3203 , 2021 2021 Citations: 7
MOST CITED SCHOLAR PUBLICATIONS
Non-fragile state estimation for memristive cellular neural networks with proportional delay A Karnan, G Nagamani Mathematics and Computers in Simulation 193, 217-231 , 2022 2022 Citations: 13
Delay-dependent and independent state estimation for BAM cellular neural networks with multi-proportional delays G Nagamani, A Karnan, G Soundararajan Circuits, Systems, and Signal Processing 40 (7), 3179-3203 , 2021 2021 Citations: 7
Event-triggered extended dissipative synchronization for delayed neural networks with random uncertainties A Karnan, G Nagamani Chaos, Solitons & Fractals 175, 113982 , 2023 2023 Citations: 6
Design of an event-triggered extended dissipative state estimator for neural networks with multiple time-varying delays A Karnan, G Soundararajan, G Nagamani, A Kashkynbayev The European Physical Journal Special Topics 234 (8), 1511-1525 , 2025 2025 Citations: 5
Synchronization of Uncertain Neural Networks with Additive Time-Varying Delays and General Activation Function A Karnan, G Nagamani Neural Processing Letters 55 (4), 4951-4971 , 2023 2023 Citations: 2
Event‐triggered nonfragile state estimation for delayed neural networks with additive and multiplicative gain variations A Karnan, G Nagamani International Journal of Robust and Nonlinear Control 33 (16), 9929-9950 , 2023 2023 Citations: 1
Periodic Event-Triggered Prescribed Time Control of Euler-Lagrange Systems under State and Input Constraints CS Kashyap, A Karnan, P Jagtap, J Keshavan arXiv preprint arXiv:2510.02769 , 2025 2025
State Estimation and Synchronization Analysis for a class of neural networks with time varying Delays A Karnan https://shodhganga.inflibnet.ac.in/handle/10603/554832 , 2023 2023
Synchronization Control of Proportional Delayed Memristive Cellular Neural Networks: Robust Analysis Approach A Karnan, G Nagamani 2021 International Conference on Control, Automation, Power and Signal … , 2021 2021