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1 [CT195]

[CT195]

[00046] Global exponential synchronization of complex-valued recurrent neural networks with time-varying bounded and unbounded delay terms

Session Date & Time : 2C (Aug.22, 13:20-15:00)
Type : Contributed Talk
Abstract : The global exponential synchronization criteria of complex-valued recurrent neural networks (CVRNNs) in presence of uncertain parameters with time-varying bounded and unbounded delay terms have been investigated. Based on Halanay inequality and matrix measure approach, the global exponential synchronization is studied. The synchronization of CVRNNs is achieved with help of Lyapunov functional, and several sufficient criteria and theorems. Finally, two numerical examples are taken to show viability and unwavering quality of our results for various cases.
Classification : 93D05, 93D23, 93D40, 68T07, 34D06
Author(s) :
- VIJAY KUMAR YADAV (Amity University Haryana, Gurugram, Delhi NCR India)

[00051] Finite-time synchronization of multi-scroll chaotic systems with sigmoid non-linearity and uncertain terms

Session Date & Time : 2C (Aug.22, 13:20-15:00)
Type : Contributed Talk
Abstract : Finite-time synchronization of multi-scroll chaotic systems with sigmoid non-linearity in the presence of uncertain stochastic parameters has been studied. The present chaotic system scrolls (up to five) are incorporated with the help of hyperbolic tangent functions, but in real applications, there is no limit of multi-scroll in a chaotic system. Finite-time synchronization is achieved with the help of Lyapunov stability using some lemmas and definitions. The Lyapunov exponents are also calculated for multi-scroll chaotic systems.
Classification : 93D05, 93D23, 93D40, 68T07, 34D06
Author(s) :
- Amit Kumar Mishra (Department of Mathematics, Shree M P Shah Arts Science College, Surendranagar, Gujarat, 363001, India)

[01005] Nonlinear Disturbance Observer-Based Control Design for Markovian Jump Systems

Session Date & Time : 2C (Aug.22, 13:20-15:00)
Type : Contributed Talk
Abstract : This paper addresses the anti-disturbance control problem for time-delayed Markovian jump nonlinear systems with modeled and unmodeled disturbances. Specifically, the modeled disturbance is generated by a nonlinear exogenous system and estimated using a nonlinear disturbance observer. A mode-dependent asymmetric Lyapunov-Krasovskii functional is used to derive sufficient conditions for the existence of the proposed controller and disturbance observer. A numerical example is included to demonstrate the efficacy of the theoretical results developed.
Classification : 93D05, 93D15, 93E15, LYAPUNOV STABILITY; SYSTEMS AND CONTROL THEORY
Author(s) :
- KAVIARASAN BOOMIPALAGAN (CHUNGBUK NATIONAL UNIVERSITY)
- OH-MIN KWON (CHUNGBUK NATIONAL UNIVERSITY)

[01012] Uncertainty and disturbance estimator design for interval type-2 fuzzy systems

Session Date & Time : 2C (Aug.22, 13:20-15:00)
Type : Contributed Talk
Abstract : This article investigates the uncertainty and disturbance estimator-based control problem for the interval type-2 fuzzy systems. By designing the appropriate filter, the proposed control designs can estimate system uncertainties and external disturbances accurately. By using the Lyapunov-Krasovskii stability theorem, the required stability conditions and the control gain matrices for the system under consideration are obtained. Finally, an illustrative example is demonstrated to verify the feasibility of the proposed control method.
Classification : 93D05, 93D09, 93D15, Lyapunov Stability, Systems and Control Theory, Fuzzy Systems
Author(s) :
- KAVIKUMAR RAMASAMY (CHUNGBUK NATIONAL UNIVERSITY)
- KWON OH-MIN (CHUNGBUK NATIONAL UNIVERSITY)

[01014] Fault detection asynchronous filter design for Markovian jump fuzzy systems under cyber attacks

Session Date & Time : 2C (Aug.22, 13:20-15:00)
Type : Contributed Talk
Abstract : This work is concerned with the issue of fault detection asynchronous filter design for a class of discrete-time Markovian jump fuzzy systems with cyber attacks. Precisely, the cyber attacks phenomenon in the network environment satisfies the Bernoulli distribution. Finally, the applicability and usefulness of the proposed filter design method is verified through a practical example.
Classification : 93D05, 93D09, 93D20, Lyapunov Stability of control systems
Author(s) :
- Sakthivel Ramalingam (Chungbuk National University)
- Oh-Min Kwon (Chungbuk National University)

[01059] EVENT-TRIGGERED CONTROL FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH CYBER-ATTACKS

Session Date & Time : 2D (Aug.22, 15:30-17:10)
Type : Contributed Talk
Abstract : An event-triggered control for parabolic-type partial differential equations subject to disturbances and cyber-attacks is addressed in this talk. To attenuate the disturbances an H∞ performance is considered. By designing an appropriate Lyapunov-Krasovskii functional the stabilization conditions for the considered parabolic type partial differential equations are obtained in the form of linear matrix inequalities. Finally, a numerical example is provided to verify the efficiency of the derived theoretical results.
Classification : 93D05, 93D09, 93D15, Lyapunov Stability, event-triggered control
Author(s) :
- Parivallal Arumugam (Sungkyunkwan University)

[01008] EID estimator-based Control Design for Singular Polynomial Fuzzy Systems

Session Date & Time : 2D (Aug.22, 15:30-17:10)
Type : Contributed Talk
Abstract : This paper studied the disturbance rejection problem for singular polynomial fuzzy system based on equivalent-input-disturbance-estimator-based control approach. The proposed approach is used to compensate the influences of unknown lumped disturbance. To cope the robust stability problems, the augmented closed-loop system is constructed that includes dynamics of the system, observer, and low-pass filter. Lyapunov stability theory is used to develop stability conditions for the resulting system. Finally, numerical examples are provided to validate the theoretical result.
Classification : 93D09, 93D15, 93D25, Robust stability, Lyapunov stability theory, Stabilization of systems by feedback
Author(s) :
- Selvaraj Palanisamy (Chungbuk National University)
- Kwon Oh-Min (Chungbuk National University)

[00590] Feedback control of propagating bubbles: stabilization and control-based continuation

Session Date & Time : 2D (Aug.22, 15:30-17:10)
Type : Contributed Talk
Abstract : We study the propagation of air bubbles into fluid filled Hele-Shaw channels. Feedback control is used to manipulate the system to a desired configuration and also as a tool to explore the full range of nonlinear behaviour. Control is implemented by the addition of time-dependent fluid injection along the channel. Control-based continuation allows unstable steady states to be observed and stabilised directly in our time-dependent simulations. Steady and time-dependent simulations are performed using finite elements.
Classification : 93D15, 76T10, 76D55
Author(s) :
- Joao Fontana (The University of Manchester)
- Alice Thompson (The University of Manchester)

[00655] Finite-time fault-tolerant robust control design for parabolic partial differential equations

Session Date & Time : 2D (Aug.22, 15:30-17:10)
Type : Contributed Talk
Abstract : In this paper, a finite-time fault-tolerant robust control design for parabolic partial differential equations in the presence of uncertainties, actuator faults and external disturbances is discussed. The main aim is to design a non-fragile fault-tolerant control to ensure the robust stabilization of the considered PDEs. By employing Lyapunov method, a novel set of conditions is obtained to ensure the required result. Finally, simulations are provided to demonstrate the effectiveness of the developed control design.
Classification : 93D15, 93D05, 93D40, Robust Control Theory
Author(s) :
- Sakthivel Rathinasamy (Bharathiar University)

[02605] Lie-bracket-based feedback stabilizability with cost regulation

Session Date & Time : 2D (Aug.22, 15:30-17:10)
Type : Contributed Talk
Abstract : For an optimal control problem where the state has to approach asymptotically a target while paying a cost, we propose a generalization of the dissipative relation that defines a Control Lyapunov Function to a weaker differential inequality. It involves both the cost and the Lie brackets of the dynamics’ vector fields. We prove that the existence of a suitably defined solution to such inequality implies feedback stabilizability and a uniform bound on the cost.
Classification : 93D30, 93D20, 49N35, 34A26
Author(s) :
- Monica Motta (University of Padua)
- Giovanni Fusco (University of Padua)
- Franco Rampazzo (University of Padua)