Stability analysis and synthesis of uncertain two-dimensional switched positive systems

This brief considers the problem of stability analysis and synthesis for a class of uncertain two-dimensional switched positive systems. Sufficient conditions expressed in the form of linear programming are derived under which the closed-loop system is asymptotically stable, where the desired state-feedback controllers can also be explicitly designed. Finally, an illustrative example is provided to show the effectiveness of the obtained results.

[1]  Ahmed El Hajjaji,et al.  M-matrix based robust stability and stabilization for uncertain discrete-time switched TS fuzzy systems with time-varying delays. , 2016, ISA transactions.

[2]  Zhengrong Xiang,et al.  Stability Analysis and Stabilization of Discrete-Time 2D Switched Systems , 2012, Circuits, Systems, and Signal Processing.

[3]  Andreas Antoniou,et al.  Two-Dimensional Digital Filters , 2020 .

[4]  C. Du,et al.  Stability analysis and stabilization of uncertain two-dimensional discrete systems: an LMI approach , 1999 .

[5]  T. Kaczorek.  Two-Dimensional Linear Systems , 1985 .

[6]  Ahmed El Hajjaji,et al.  Permutation matrix based robust stability and stabilization for uncertain discrete-time switched TS fuzzy systems with time-varying delays , 2016, Neurocomputing.

[7]  Ahmed Alsaedi,et al.  Distributed H∞ state estimation for stochastic delayed 2-D systems with randomly varying nonlinearities over saturated sensor networks , 2016, Inf. Sci..

[8]  F. Tadeo,et al.  Controller Synthesis for Positive Linear Systems With Bounded Controls , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[9]  Vu Trieu Minh,et al.  Stability for switched dynamic hybrid systems , 2013, Math. Comput. Model..

[10]  Peng Shi,et al.  Stability, ${l}_{2}$ -Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time , 2009, IEEE Transactions on Automatic Control.

[11]  Zidong Wang,et al.  Pinning controllability of autonomous Boolean control networks , 2016, Science China Information Sciences.

[12]  Hamid Reza Karimi,et al.  Delay-dependent exponential stabilization of positive 2D switched state-delayed systems in the Roesser model , 2014, Inf. Sci..

[13]  Hamid Reza Karimi,et al.  Filtering design for two-dimensional Markovian jump systems with state-delays and deficient mode information , 2014, Inf. Sci..

[14]  Ahmed El Hajjaji,et al.  Stabilisation of discrete 2D time switching systems by state feedback control , 2011, Int. J. Syst. Sci..

[15]  Xiaodi Li,et al.  Robust exponential stability of uncertain impulsive delays differential systems , 2016, Neurocomputing.

[16]  Li Xu,et al.  Delay-dependent robust stability and stabilisation of uncertain two-dimensional discrete systems with time-varying delays , 2010 .

[17]  Ricardo Femat,et al.  Robust stabilization of positive linear systems via sliding positive control , 2016 .

[18]  Raphaël M. Jungers,et al.  Stability of discrete-time switching systems with constrained switching sequences , 2015, Autom..

[19]  Zhigang Zeng,et al.  Stability analysis for uncertain switched neural networks with time-varying delay , 2016, Neural Networks.

[20]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[21]  T. Kaczorek.  Positive 1D and 2D Systems , 2001 .

[22]  Jun Zhao,et al.  Stability Analysis and Design of Uncertain Discrete-time Switched Systems with Actuator Saturation Using Antiwindup and Multiple Lyapunov Functions Approach , 2017 .