Exact controllability of a class of nonlinear distributed parameter systems using back-and-forth iterations
We investigate the exact controllability of a nonlinear plant described by the equation x˙(t)=
A x (t)+ B u (t)+ BNN (x (t), t), where t≥ 0. Here A is the infinitesimal generator of a strongly …
A x (t)+ B u (t)+ BNN (x (t), t), where t≥ 0. Here A is the infinitesimal generator of a strongly …
A linear dissipativity approach to incremental input-to-state stability for a class of positive Lur'e systems
V Piengeon, C Guiver - International Journal of Control, 2024 - Taylor & Francis
Incremental stability properties are considered for certain systems of forced, nonlinear
differential equations with a particular positivity structure. An incremental stability estimate is …
differential equations with a particular positivity structure. An incremental stability estimate is …
Infinite-dimensional Lur'e systems with almost periodic forcing
We consider forced Lur'e systems in which the linear dynamic component is an infinite-
dimensional well-posed system. Numerous physically motivated delay and partial …
dimensional well-posed system. Numerous physically motivated delay and partial …
Approximating the steady-state periodic solutions of contractive systems
We consider contractive systems whose trajectories evolve on a compact and convex state-
space. It is well-known that if the time-varying vector field of the system is periodic, then the …
space. It is well-known that if the time-varying vector field of the system is periodic, then the …
Minimal order controllers for output regulation of nonlinear systems
This paper is about the nonlinear local error feedback regulator problem. The plant is a
nonlinear finite-dimensional system with a single control input and a single output and it is …
nonlinear finite-dimensional system with a single control input and a single output and it is …
Approximating the frequency response of contractive systems
We consider contractive systems whose trajectories evolve on a compact and convex state-
space. It is well-known that if the time-varying vector field of the system is periodic then the …
space. It is well-known that if the time-varying vector field of the system is periodic then the …
Minimal order controllers for output regulation of locally stable nonlinear systems
This paper is about the nonlinear error feedback regulator problem. The plant is a nonlinear
finite-dimensional single-input-single-output system and it is locally exponentially stable …
finite-dimensional single-input-single-output system and it is locally exponentially stable …
How to establish the exact controllability of nonlinear DPS using iterations back and forth in time
Consider a nonlinear distributed parameter system (DPS) described by ẋ (t)= Ax (t)+ Bu (t)+
BNN (x (t), t) for all t≥ 0. Here A is the infinitesimal generator of a strongly continuous group …
BNN (x (t), t) for all t≥ 0. Here A is the infinitesimal generator of a strongly continuous group …
Using System Theory and Energy Methods to prove Existence of Non-Linear PDE's
H Zwart - IFAC-PapersOnLine, 2015 - Elsevier
In this discussion paper we present an idea of combining techniques known from systems
theory with energy estimates to show existence for a class of non-linear partial differential …
theory with energy estimates to show existence for a class of non-linear partial differential …