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math.OC2020
Construction of Periodic Counterexamples to the Discrete-Time Kalman Conjecture
Peter Seiler, Joaquin Carrasco
This paper considers the Lurye system of a discrete-time, linear time-invariant plant in negative feedback with a nonlinearity. Both monotone and slope-restricted nonlinearities ar…
math.OC2019★ 4 cited
Noncausal FIR Zames-Falb Multiplier Search for Exponential Convergence Rate
Jingfan Zhang, Peter Seiler, Joaquin Carrasco
In the existing literature, there are two approaches to estimate tighter bounds of the exponential convergence rate of stable Lure systems. On one hand, the classical integral quad…
math.OC2013★ 6 cited
Simplification Methods for Sum-of-Squares Programs
Peter Seiler, Qian Zheng, Gary Balas
A sum-of-squares is a polynomial that can be expressed as a sum of squares of other polynomials. Determining if a sum-of-squares decomposition exists for a given polynomial is equi…