14 citations · 16 across the 4 of their papers we have counts for
7 papers · 1 filter
Equivalence of Linear Complementarity Problems: Theory and Application to Nonsmooth Bifurcations
Felix Miranda-Villatoro, Fernando Castaños, Alessio Franci
Linear complementarity problems provide a powerful framework to model nonsmooth phenomena in a variety of real-world applications. In dynamical control systems, they appear coupled…
Differential dissipativity analysis of reaction-diffusion systems
Felix Miranda-Villatoro, Rodolphe Sepulchre
This note shows how classical tools from linear control theory can be leveraged to provide a global analysis of nonlinear reaction-diffusion models. The approach is differential in…
Dissipativity analysis of negative resistance circuits
Felix A. Miranda-Villatoro, Fulvio Forni, Rodolphe Sepulchre
This paper deals with the analysis of nonlinear circuits that interconnect passive elements (capacitors, inductors, and resistors) with nonlinear resistors exhibiting a range of $\…
Differentially passive circuits that switch and oscillate
Felix A. Miranda-Villatoro, Fulvio Forni, Rodolphe Sepulchre
The concept of passivity is central to analyze circuits as interconnections of passive components. We illustrate that when used differentially, the same concept leads to an interco…
Dominance analysis of linear complementarity systems
Felix A. Miranda-Villatoro, Fulvio Forni, Rodolphe Sepulchre
The paper extends the concepts of dominance and p-dissipativity to the non-smooth family of linear complementarity systems. Dominance generalizes incremental stability whereas p-di…
Analysis of Lur'e dominant systems in the frequency domain
F. A. Miranda-Villatoro, F. Forni, R. Sepulchre
Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize…
Robust Output Regulation of Linear Passive Systems with Multivalued Upper Semicontinuous Controls
Félix A. Miranda, Fernando Castaños
The use of multivalued controls derived from a special maximal monotone operator are studied in this note. Starting with a strictly passive linear system (with possible parametric…