Non-Hermitian second-order skin and topological modes

Controlling chaos via second-order sliding modes

The problem of ordering chaos by second-order sliding-mode control is addressed. The proposed approach offers an effective, yet simple, solution tackling both the uncertainties affecting the chaotic dynamics and the measurement noise corrupting the feedback signals. The procedure is illustrated making reference to Chua's circuit and the “suboptimal” second-order sliding-mode control algorithm. ...

Topological Hermitian Cobordism

A decade ago, the authors [5] studied Real cobordismMR, anRO(Z/2)graded Z/2-equivariant spectrum discovered by Landweber [9], which is related to complex cobordismMU in the same way as Atiyah’s RealKtheory KR [1] does to K-theory. In particular, the authors computed the RO(Z/2)-graded coefficients of MR. A key step in that computation was the fact that MR is a complete Z/2-equivariant spectrum,...

Topological transition in a non-Hermitian quantum walk.

We analyze a quantum walk on a bipartite one-dimensional lattice, in which the particle can decay whenever it visits one of the two sublattices. The corresponding non-Hermitian tight-binding problem with a complex potential for the decaying sites exhibits two different phases, distinguished by a winding number defined in terms of the Bloch eigenstates in the Brillouin zone. We find that the mea...

Second Order Sliding Modes: Theory and Applications PHD Thesis

Missile Interceptor Guidance and Control Using Second Order Sliding Modes

Abstract: The missile interceptors integrated guidance and control technology for achieving the hit-to-kill accuracy against targets performing evasive maneuvers including spiraling motion is developed on the basis of high (second) order sliding mode control (HOSM). The integration of guidance and flight control systems is achieved in a two-loop guidance and flight control system designed in th...