Research
Research areas
Six interconnected lines of work, ranging from the abstract analysis of linear parameter-varying systems to feedback control inside living cells.
LPV systems & gain-scheduling
A class of linear systems whose dynamics depend on time-varying parameters. The framework gives elegant nonlinear controllers, optimizes across performance trade-offs, and uses tools from robust analysis.
Read moreTime-delay systems
Hereditary systems whose evolution depends on past states. Infinite-dimensional, often more subtle than ODEs, and pervasive across biology, economics, and communication networks.
Read moreHybrid & impulsive systems
Looped-functionals as a unifying paradigm for impulsive, switched, sampled-data, and periodic dynamics, with convex stability conditions that extend naturally to uncertainty.
Read morePositive systems
Systems confined to the nonnegative orthant. Linear programming characterizes their stability exactly, structured controller design becomes tractable, and applications span epidemiology, biology, and networks.
Read moreCommunication networks
Congestion control in the Internet, framed as a control problem with delay, decentralized information, and competing objectives of efficiency, fairness, and cross-traffic adaptation.
Read moreCybergenetics
Control theory for living cells. Stochastic reaction networks, antithetic integral feedback, ergodicity, in-silico moment control, and the mathematics behind cellular feedback circuitry.
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