Adaptive control: stability, convergence, and robustness
Adaptive control: stability, convergence, and robustness
A lifting technique for linear periodic systems with applications to sampled-data control
Systems & Control Letters
The complex structured singular value
Automatica (Journal of IFAC) - Special issue on robust control
An introduction to infinite-dimensional linear systems theory
An introduction to infinite-dimensional linear systems theory
2-Regularized Nyquist Criterion in Linear Continuous-Time Periodic Systems and Its Implementation
SIAM Journal on Control and Optimization
IEEE Transactions on Circuits and Systems II: Express Briefs
Certifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systems
Automatica (Journal of IFAC)
Hi-index | 22.14 |
We develop analytical and numerical conditions to determine whether limit cycle oscillations synchronize in diffusively coupled systems. We examine two classes of systems: reaction-diffusion PDEs with Neumann boundary conditions, and compartmental ODEs, where compartments are interconnected through diffusion terms with adjacent compartments. In both cases the uncoupled dynamics are governed by a nonlinear system that admits an asymptotically stable limit cycle. We provide two-time scale averaging methods for certifying stability of spatially homogeneous time-periodic trajectories in the presence of sufficiently small or large diffusion and develop methods using the structured singular value for the case of intermediate diffusion. We highlight cases where diffusion stabilizes or destabilizes such trajectories.