Proceedings of the 10th World Congress on Intelligent Control and Automation, 2012
ABSTRACT Instability phenomena occurred in aeroengines are certainly very undesirable. The unstab... more ABSTRACT Instability phenomena occurred in aeroengines are certainly very undesirable. The unstable flow not only causes a drastic reduction in the performance of the compressor but also can damage to engine's components during operations. Thus it is necessary and critical to employ various feedback control mechanism to stabilize the system. Current all proposed feedback controllers in literature require the full information of the disturbance at the duct entrance, which is an infinite-dimensional quantity and thus is impossible for a direct on-line measurement in reality. In this paper, we construct a local state observer which can deliver the full information of the disturbance by only sensing on an arbitrarily small area at the duct entrance. The approach relies on the semigroup theory as well as operator spectrum analysis. Numerical simulations are provided to illustrate the effectiveness of the proposed observer by demonstrating different types of flow situations for the aeroengine compressors.
ABSTRACT In this paper, we study the state estimation problem of dissipative PDE systems that pos... more ABSTRACT In this paper, we study the state estimation problem of dissipative PDE systems that possess inertial manifolds. We show that if a sufficient large number of finite modes are observable, then an observer can be constructed to estimate the state of the PDE system. The convergence of the corresponding error dynamics is exponential and global,and the convergent rate is identified. A numerical example is provided to illustrate the theoretical result of the proposed approach.
2012 IEEE International Conference on Granular Computing, 2012
ABSTRACT In this paper, projective lag synchronization of coupled neural networks with time delay... more ABSTRACT In this paper, projective lag synchronization of coupled neural networks with time delay is studied. An error dynamic system resulting from the drive and response systems is formulated to analyze projective lag synchronization behavior. A general criterion is established to ensure the asymptotic stability of the error system, by which we design an appropriate adaptive controller. Numerical simulations on coupled Lu neural systems illustrate the effectiveness of the results.
Control Of Nonlinear Distributed Parameter Systems, 2001
Unbounded Growth of Total Variations of Snapshots of the ID Linear Wave Equation Due to the Chaot... more Unbounded Growth of Total Variations of Snapshots of the ID Linear Wave Equation Due to the Chaotic Behavior of Iterates of Composite Nonlinear Boundary Reflection Relations Goong Chen^'t2), Texas A&M University, College Station, Texas Tingwen Huangt1), Texas A&M ...
The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixe... more The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays and reaction-diffusion terms is investigated. Under some suitable assumptions and using Lyapunov-Krasovskii functional method, we apply the linear matrix inequality technique to propose some new sufficient conditions for the global asymptotic stability of the addressed model in the stochastic sense. The mixed time delays comprise both the time-varying and continuously distributed delays. The effectiveness of the theoretical result is illustrated by a numerical example.
IEEE transactions on neural networks and learning systems, Jan 14, 2015
This paper investigates the problem of global exponential lag synchronization of a class of switc... more This paper investigates the problem of global exponential lag synchronization of a class of switched neural networks with time-varying delays via neural activation function and applications in image encryption. The controller is dependent on the output of the system in the case of packed circuits, since it is hard to measure the inner state of the circuits. Thus, it is critical to design the controller based on the neuron activation function. Comparing the results, in this paper, with the existing ones shows that we improve and generalize the results derived in the previous literature. Several examples are also given to illustrate the effectiveness and potential applications in image encryption.
This paper looks at consensus algorithms for agent cooperation with unmanned aerial vehicles. The... more This paper looks at consensus algorithms for agent cooperation with unmanned aerial vehicles. The foundation is the consensus-based bundle algorithm, which is extended to allow multi-agent tasks requiring agents to cooperate in completing individual tasks. Inspiration is taken from the cognitive behaviours of eusocial animals for cooperation and improved assignments. Using the behaviours observed in bees and ants inspires decentralised algorithms for groups of agents to adapt to changing task demand. Further extensions are provided to improve task complexity handling by the agents with added equipment requirements and task dependencies. We address the problems of handling these challenges and improve the efficiency of the algorithm for these requirements, whilst decreasing the communication cost with a new data structure. The proposed algorithm converges to a conflict-free, feasible solution of which previous algorithms are unable to account for. Furthermore, the algorithm takes int...
This paper presents an analytical study of synchronization in an array of output-coupled temporal... more This paper presents an analytical study of synchronization in an array of output-coupled temporal Boolean networks. A temporal Boolean network (TBN) is a logical dynamic system developed to model Boolean networks with regulatory delays. Both state delay and output delay are considered, and these two delays are assumed to be different. By referring to the algebraic representations of logical dynamics and using the semi-tensor product of matrices, the output-coupled TBNs are firstly converted into a discrete-time algebraic evolution system, and then the relationship between the states of coupled TBNs and the initial state sequence is obtained. Then, some necessary and sufficient conditions are derived for the synchronization of an array of TBNs with an arbitrary given initial state sequence. Two numerical examples including one epigenetic model are finally given to illustrate the obtained results.
Proceedings of the 10th World Congress on Intelligent Control and Automation, 2012
ABSTRACT Instability phenomena occurred in aeroengines are certainly very undesirable. The unstab... more ABSTRACT Instability phenomena occurred in aeroengines are certainly very undesirable. The unstable flow not only causes a drastic reduction in the performance of the compressor but also can damage to engine's components during operations. Thus it is necessary and critical to employ various feedback control mechanism to stabilize the system. Current all proposed feedback controllers in literature require the full information of the disturbance at the duct entrance, which is an infinite-dimensional quantity and thus is impossible for a direct on-line measurement in reality. In this paper, we construct a local state observer which can deliver the full information of the disturbance by only sensing on an arbitrarily small area at the duct entrance. The approach relies on the semigroup theory as well as operator spectrum analysis. Numerical simulations are provided to illustrate the effectiveness of the proposed observer by demonstrating different types of flow situations for the aeroengine compressors.
ABSTRACT In this paper, we study the state estimation problem of dissipative PDE systems that pos... more ABSTRACT In this paper, we study the state estimation problem of dissipative PDE systems that possess inertial manifolds. We show that if a sufficient large number of finite modes are observable, then an observer can be constructed to estimate the state of the PDE system. The convergence of the corresponding error dynamics is exponential and global,and the convergent rate is identified. A numerical example is provided to illustrate the theoretical result of the proposed approach.
2012 IEEE International Conference on Granular Computing, 2012
ABSTRACT In this paper, projective lag synchronization of coupled neural networks with time delay... more ABSTRACT In this paper, projective lag synchronization of coupled neural networks with time delay is studied. An error dynamic system resulting from the drive and response systems is formulated to analyze projective lag synchronization behavior. A general criterion is established to ensure the asymptotic stability of the error system, by which we design an appropriate adaptive controller. Numerical simulations on coupled Lu neural systems illustrate the effectiveness of the results.
Control Of Nonlinear Distributed Parameter Systems, 2001
Unbounded Growth of Total Variations of Snapshots of the ID Linear Wave Equation Due to the Chaot... more Unbounded Growth of Total Variations of Snapshots of the ID Linear Wave Equation Due to the Chaotic Behavior of Iterates of Composite Nonlinear Boundary Reflection Relations Goong Chen^'t2), Texas A&M University, College Station, Texas Tingwen Huangt1), Texas A&M ...
The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixe... more The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays and reaction-diffusion terms is investigated. Under some suitable assumptions and using Lyapunov-Krasovskii functional method, we apply the linear matrix inequality technique to propose some new sufficient conditions for the global asymptotic stability of the addressed model in the stochastic sense. The mixed time delays comprise both the time-varying and continuously distributed delays. The effectiveness of the theoretical result is illustrated by a numerical example.
IEEE transactions on neural networks and learning systems, Jan 14, 2015
This paper investigates the problem of global exponential lag synchronization of a class of switc... more This paper investigates the problem of global exponential lag synchronization of a class of switched neural networks with time-varying delays via neural activation function and applications in image encryption. The controller is dependent on the output of the system in the case of packed circuits, since it is hard to measure the inner state of the circuits. Thus, it is critical to design the controller based on the neuron activation function. Comparing the results, in this paper, with the existing ones shows that we improve and generalize the results derived in the previous literature. Several examples are also given to illustrate the effectiveness and potential applications in image encryption.
This paper looks at consensus algorithms for agent cooperation with unmanned aerial vehicles. The... more This paper looks at consensus algorithms for agent cooperation with unmanned aerial vehicles. The foundation is the consensus-based bundle algorithm, which is extended to allow multi-agent tasks requiring agents to cooperate in completing individual tasks. Inspiration is taken from the cognitive behaviours of eusocial animals for cooperation and improved assignments. Using the behaviours observed in bees and ants inspires decentralised algorithms for groups of agents to adapt to changing task demand. Further extensions are provided to improve task complexity handling by the agents with added equipment requirements and task dependencies. We address the problems of handling these challenges and improve the efficiency of the algorithm for these requirements, whilst decreasing the communication cost with a new data structure. The proposed algorithm converges to a conflict-free, feasible solution of which previous algorithms are unable to account for. Furthermore, the algorithm takes int...
This paper presents an analytical study of synchronization in an array of output-coupled temporal... more This paper presents an analytical study of synchronization in an array of output-coupled temporal Boolean networks. A temporal Boolean network (TBN) is a logical dynamic system developed to model Boolean networks with regulatory delays. Both state delay and output delay are considered, and these two delays are assumed to be different. By referring to the algebraic representations of logical dynamics and using the semi-tensor product of matrices, the output-coupled TBNs are firstly converted into a discrete-time algebraic evolution system, and then the relationship between the states of coupled TBNs and the initial state sequence is obtained. Then, some necessary and sufficient conditions are derived for the synchronization of an array of TBNs with an arbitrary given initial state sequence. Two numerical examples including one epigenetic model are finally given to illustrate the obtained results.
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