A survey of results and perspectives on stabilization of switched nonlinear systems with unstable modes

H Yang, B Jiang, V Cocquempot - Nonlinear Analysis: Hybrid Systems, 2014 - Elsevier
This paper surveys the recent theoretical results on the stabilization of switched nonlinear
systems with unstable modes. Two cases are considered.(1) Some modes are stable, and …

Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property

M Gugat, E Trélat, E Zuazua - Systems & Control Letters, 2016 - Elsevier
We consider a vibrating string that is fixed at one end with Neumann control action at the
other end. We investigate the optimal control problem of steering this system from given …

Stability of switched linear hyperbolic systems by Lyapunov techniques

C Prieur, A Girard, E Witrant - IEEE Transactions on Automatic …, 2014 - ieeexplore.ieee.org
Switched linear hyperbolic partial differential equations are considered in this technical note.
They model infinite dimensional systems of conservation laws and balance laws, which are …

[图书][B] Optimal boundary control and boundary stabilization of hyperbolic systems

M Gugat - 2015 - books.google.com
This brief considers recent results on optimal control and stabilization of systems governed
by hyperbolic partial differential equations, specifically those in which the control action …

Further on pinning synchronization of dynamical networks with coupling delay

S Zhu, J Lü - SIAM Journal on Control and Optimization, 2024 - SIAM
Though extensively studied, the longstanding pinning synchronization problem of dynamical
networks with coupling delay has not been well solved until now. In this paper, we further …

Stabilization of networked hyperbolic systems with boundary feedback

M Dick, M Gugat, M Herty, G Leugering… - Trends in PDE …, 2014 - Springer
We summarize recent theoretical results as well as numerical results on the feedback
stabilization of first order quasilinear hyperbolic systems (on networks). For the stabilization …

[HTML][HTML] Improved delay-dependent stability of superlinear hybrid stochastic systems with general time-varying delays

H Xu, X Mao - Nonlinear Analysis: Hybrid Systems, 2023 - Elsevier
In the recent paper (Fei et al., 2019), the study of delay-dependent stability of hybrid
stochastic differential delay equations (SDDEs) was generalized to superlinear ones …

Neumann boundary feedback stabilization for a nonlinear wave equation: A strict -Lyapunov function

M Gugat, G Leugering, K Wang - arXiv preprint arXiv:1608.02368, 2016 - arxiv.org
For a system that is governed by the isothermal Euler equations with friction for ideal gas,
the corresponding field of characteristic curves is determined by the velocity of the flow. This …

Boundary feedback stabilization of the telegraph equation: Decay rates for vanishing damping term

M Gugat - Systems & Control Letters, 2014 - Elsevier
We study a semilinear mildly damped wave equation that contains the telegraph equation as
a special case. We consider Neumann velocity boundary feedback and prove the …

[HTML][HTML] Structured stabilisation of superlinear delay systems by bounded discrete-time state feedback control

H Xu, X Mao - Automatica, 2024 - Elsevier
Taking different system structures in different Markovian modes into consideration, this
paper studies the structured stabilisation of a class of superlinear hybrid stochastic delay …