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math.DS2026
Convex Density Design for Regional Phase-Volume Contraction of Nonlinear Systems
Igor B. Furtat
Regional weighted phase-volume contraction for nonlinear systems is studied using positive densities selected from a finite-dimensional log-affine family. The affine dependence of…
math.DS2026
Weighted phase volume stability: dissipativity and geometric interpretation
Igor Furtat
The evolution of weighted phase volume under a fixed dynamical system is investigated using a positive weight raised to an arbitrary real exponent. Sufficient conditions for unifor…
eess.SY2026
Weighted Phase Volume Method in Stability Analysis: Integral Criteria and Ellipsoidal Reachable Sets
Igor B. Furtat
A method for analysing the stability of dynamical systems is proposed, based on the introduction of a weighted phase volume and time rescaling by a positive function. The advantage…