A Hybrid System Approach to Exponential Stability with Sampled-data Control for a Class of Linear Hyperbolic Systems

[1]  Emilia Fridman,et al.  Distributed sampled-data control of Kuramoto-Sivashinsky equation under the point measurements , 2018, 2018 European Control Conference (ECC).

[2]  Hartmut Logemann.  Stabilization of Well-Posed Infinite-Dimensional Systems by Dynamic Sampled-Data Feedback , 2013, SIAM J. Control. Optim..

[3]  Emilia Fridman,et al.  Sampled-data relay control of diffusion PDEs , 2017, Autom..

[4]  Stuart Townley,et al.  Adaptive sampled-data integral control of stable infinite-dimensional linear systems , 2009, Syst. Control. Lett..

[5]  João Pedro Hespanha,et al.  Exponential stability of impulsive systems with application to uncertain sampled-data systems , 2008, Syst. Control. Lett..

[6]  Emilia Fridman,et al.  Distributed event-triggered control of diffusion semilinear PDEs , 2016, Autom..

[7]  Alexandre Seuret,et al.  Tractable sufficient stability conditions for a system coupling linear transport and differential equations , 2017, Syst. Control. Lett..

[8]  C. Fiter,et al.  Stability Analysis for A Class of Linear Hyperbolic System of Balance Laws with Sampled-data Control , 2020 .

[9]  Nicolas Marchand,et al.  Event-Based Boundary Control of a Linear $2\times 2$ Hyperbolic System via Backstepping Approach , 2018, IEEE Transactions on Automatic Control.

[10]  Dragan Nesic,et al.  A Framework for the Observer Design for Networked Control Systems , 2012, IEEE Transactions on Automatic Control.

[11]  Emilia Fridman,et al.  Recent developments on the stability of systems with aperiodic sampling: An overview , 2017, Autom..

[12]  Stuart Townley,et al.  Generalized Sampled-Data Stabilization of Well-Posed Linear Infinite-Dimensional Systems , 2005, SIAM J. Control. Optim..

[13]  Emilia Fridman,et al.  Robust sampled-data control of a class of semilinear parabolic systems , 2012, Autom..

[14]  Delphine Bresch-Pietri,et al.  Stability Analysis of a ${\text{2}}\times {\text{2}}$ Linear Hyperbolic System With a Sampled-Data Controller via Backstepping Method and Looped-Functionals , 2018, IEEE Transactions on Automatic Control.

[15]  Stuart Townley,et al.  Stability of infinite-dimensional sampled-data systems , 2003 .

[16]  Hartmut Logemann,et al.  Discrete-Time and Sampled-Data Low-Gain Control of Infinite-Dimensional Linear Systems in the Presence of Input Hysteresis , 2002, SIAM J. Control. Optim..

[17]  Georges Bastin,et al.  Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws , 2012, Autom..

[18]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[19]  A. Rantzer,et al.  System analysis via integral quadratic constraints , 1997, IEEE Trans. Autom. Control..

[20]  Chung-Yao Kao,et al.  On Stability of Systems With Aperiodic Sampling Devices , 2013, IEEE Transactions on Automatic Control.

[21]  Nicolas Marchand,et al.  Event-based control of linear hyperbolic systems of conservation laws , 2016, Autom..

[22]  Hisaya Fujioka.  Stability analysis of systems with aperiodic sample-and-hold devices , 2009, Autom..

[23]  Guilherme Mazanti,et al.  Stability analysis of coupled linear ODE-hyperbolic PDE systems with two time scales , 2017, Autom..