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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

Taking different system structures in different Markovian modes into consideration, this
paper studies the structured stabilisation of a class of superlinear hybrid stochastic delay …