Extended Dissipativity Analysis for Markovian Jump Neural Networks via Double-Integral-Based Delay-Product-Type Lyapunov Functional

Tian, Yufeng; Wang, Zhanshan

doi:10.1109/tnnls.2020.3008691

Cited by 60 publications

(23 citation statements)

References 32 publications

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“…Therefore, considerable attention has been devoted to the study of reduced-order filter design over the past few years. In some existing works [7], [23], sufficient conditions for reduced-order H ∞ filtering are derived on equality/rank constraints, which are hard to find a solution to perfectly satisfy the equality constraints due to its roundoff errors in computation. Furthermore, complicated matrix transformation and matrix structures inverse the mathematical derivation.…”

Section: Resultsmentioning

confidence: 99%

“…Furthermore, complicated matrix transformation and matrix structures inverse the mathematical derivation. In this paper, the obtained results have neither complicated matrix transformation nor equality/rank constraint, which make the conditions easier to find numerical solutions than the existing works [7], [23].…”

Section: Resultsmentioning

confidence: 99%

“…On the other hand, Markovian jump systems (MJSs) represent a convenient mathematical model to describe system dynamics in a situation when the system experiences frequent unpredictable parameter variations. MJSs have been studied both in many practical systems such as chemical process, manufacturing systems, flight systems and so on [7], [8] and in theoretical researches [9]. In the past decades, transition rates (TRs) in the jumping process are usually assumed to be completely known.…”

Section: Introductionmentioning

confidence: 99%

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Reduced-Order Filtering for Singular Markovian Jump Systems With Incomplete Transition Rates

Zhang

2020

IEEE Access

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This paper considers the reduced-order H ∞ filtering problem for singular Markovian jump systems (SMJSs) with incomplete transition rates (ITRs) by using augmented system method. The considered conditions in this paper are necessary and sufficient (NS), whereas the existing conditions are mainly sufficient. To be concrete, by extracting system matrices in the considered system from augmented system, NS condition for the existence of the full-order H ∞ filtering is provided in terms of linear matrix inequalities (LMIs). However, it is hard to extend the condition to the existence of the reduced-order H ∞ filtering. Thus, by fixing augmented system matrices, NS condition for the existence of the reduced-order one is presented to guarantee the desired filtering error system to be stochastically admissible with H ∞ performance level. Furthermore, there are neither complicated matrix transformation nor equality/rank constraints in this paper. One numerical and one practical examples are illustrated to demonstrate the effectiveness of the achieved results. INDEX TERMS Singular Markovian jump system, incomplete transition rates, sufficient and necessary conditions, reduced-order filtering.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Reduced-Order Filtering for Singular Markovian Jump Systems With Incomplete Transition Rates

Zhang

2020

IEEE Access

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“…[2][3][4][5] On the other research front, Markovian jump systems (MJSs) have attracted growing attention in recent years due to the important ability to appropriately portray a great deal of practical systems with abrupt changes in their structures and parameters. [6][7][8][9][10] If singular systems undergo abrupt changes in their structures, it will lead to famous singular Markovian jump systems (SMJSs), and a large of results have been achieved such as in . Therein, filtering is one of the most popular research directions.…”

Section: Introductionmentioning

confidence: 99%

A unified filter for singular Markovian jump systems with mixed delays based on an extended free‐matrix‐based inequality approach

Tian

Wang

2020

Adaptive Control & Signal

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In this article, the problem of unified filters design including H ∞ , L 2 − L ∞ , passive, dissipative filters and their reduced-order ones is addressed for continuous-time singular Markovian jump systems with discrete and distributed delays. Unlike some existing works, the mixed delays can be fully captured by proposing an extended free-matrix-based integral inequality. By considering two cases of distributed delays, two novel criteria are presented to ensure the filtering error system to be stochastically admissible and extended dissipative. Some numerical examples are provided to illustrate the effectiveness of the unified filter design methods. K E Y W O R D S extended free-matrix-based integral inequality, singular Markovian jump systems, time-varying delays, unified filters

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“…Descriptor systems describe a larger range of dynamical systems and can maintain the physical characteristics of systems better than normal systems. Thus, it is widely used in biological systems, 2 power systems, neural network, 3,4 circuits systems, and so on. During the past year, there are a lot of research directions of descriptor systems, such as sliding mode control, 5 passive control, 6 filter design, 7 observer design, 8 and stability and stabilization 9,10 …”

Section: Introductionmentioning

confidence: 99%

A novel adaptive event‐triggered scheme for network descriptor systems with randomly occurring uncertainties and nonlinearities

Wang

Zhang

Cui

et al. 2020

Adaptive Control & Signal

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SummaryThis article investigates the problem of event‐triggered control for network descriptor systems with randomly occurring uncertainties and nonlinearities. First, a novel adaptive event‐triggered scheme (AETC) is introduced to save more limited network resource. Second, by considering the network‐induced delay, randomly occurring uncertainties and nonlinearities, and the adaptive transmission scheme, a delay system method is used to build a novel time‐varying delay system model. Based on this model and Lyapunov function technology, sufficient stability conditions to verdict admissible and stabilization conditions to codesign the controller gain and the weighting matrix of the adaptive transmission scheme are obtained in terms of linear matrix inequalities. Finally, a numerical simulation example and a comparing example are employed to illustrate the effectiveness and the advantageous performances of the proposed AETC.

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Extended Dissipativity Analysis for Markovian Jump Neural Networks via Double-Integral-Based Delay-Product-Type Lyapunov Functional

Cited by 60 publications

References 32 publications

Reduced-Order Filtering for Singular Markovian Jump Systems With Incomplete Transition Rates

Reduced-Order Filtering for Singular Markovian Jump Systems With Incomplete Transition Rates

A unified filter for singular Markovian jump systems with mixed delays based on an extended free‐matrix‐based inequality approach

A novel adaptive event‐triggered scheme for network descriptor systems with randomly occurring uncertainties and nonlinearities

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