The Construction of Nonlinear Discrete-time Observers with Local Lipschitz Conditions

Xiao, Mingqing

doi:10.3166/ejc.15.131-142

Cited by 4 publications

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[16][17][18][19][20] and references therein), we use a linear error feedback on the boundary to construct an observer. The range of the feedback gain for a convergent observer can then be identified.…”

Section: Introductionmentioning

confidence: 99%

Observer design for wave equation with a forcing term in the boundary

Li¹,

Chen

Tian

2016

Applicable Analysis

View full text Add to dashboard Cite

This paper investigates the observer design problem for 1D wave equation with nonlinear boundary condition containing a forcing term, whose dynamics presents spatiotemporal chaotic behaviors. By introducing a linear error input on the left-end boundary, we construct an observer via the method of characteristics. Moreover, we present a sufficient and necessary condition for the stability of the error dynamics system. Numerical simulations are presented to illustrate the theoretical outcomes. ARTICLE HISTORY

show abstract

Section: Introductionmentioning

confidence: 99%

Observer design for wave equation with a forcing term in the boundary

Li¹,

Chen

Tian

2016

Applicable Analysis

View full text Add to dashboard Cite

show abstract

“…Therefore, the study of synchronization implementation is deemed of unquestioned importance in applications. Recently, many interesting results on synchronization were derived for various complex networks associated with models being time invariant [1][2][3], time-varying [4], discrete [5,6], and impulsive [7,8].…”

Section: Introductionmentioning

confidence: 99%

Synchronization criteria in complex dynamical networks with nonsymmetric coupling and multiple time-varying delays

Wang

Yang

Huang

et al. 2012

Applicable Analysis

Self Cite

View full text Add to dashboard Cite

2012)Synchronization criteria in complex dynamical networks with nonsymmetric coupling and multiple time-varying delays, Applicable Analysis: An International Journal, 91:5, 923-935, In this article, we consider a generalized complex dynamical network model with nonsymmetric coupling, and the dynamics of each node has a different time-varying delay. Criteria of exponential synchronization are derived in terms of linear matrix inequalities for the model by constructing suitable Lyapunov functionals. The obtained outcomes are different from those in the current literature, in which the complex dynamical networks are coupling symmetrically and delays are fixed constants. Moreover, the given sufficient conditions extend current available results and are verifiable. A numerical example is provided to illustrate the efficiency of the derived outcome.

show abstract

Observer design for wave equations with van der Pol type boundary conditions

Xiao

2012

Proceedings of the 10th World Congress on Intelligent Control and Automation

View full text Add to dashboard Cite

The Construction of Nonlinear Discrete-time Observers with Local Lipschitz Conditions

Cited by 4 publications

References 28 publications

Observer design for wave equation with a forcing term in the boundary

Observer design for wave equation with a forcing term in the boundary

Synchronization criteria in complex dynamical networks with nonsymmetric coupling and multiple time-varying delays

Observer design for wave equations with van der Pol type boundary conditions

Contact Info

Product

Resources

About