23 citations · 72 across the 27 of their papers we have counts for
8 papers · 1 filter
The length of switching intervals of a stable linear system
Rinat Kamalov, Vladimir Yu. Protasov
The linear switching system is a system of ODE with the time-dependent matrix taking values from a given control matrix set. The system is (asymptotically) stable if all its trajec…
Stability of linear systems with bounded switching intervals
Vladimir Yu. Protasov, Rinat Kamalov
We address the stability problem for linear switching systems with mode-dependent restrictions on the switching intervals. Their lengths can be bounded as from below (the guarantee…
The Barabanov norm is generically unique, simple, and easily computed
Vladimir Yu. Protasov
Every irreducible discrete-time linear switching system possesses an invariant convex Lyapunov function (Barabanov norm), which provides a very refined analysis of trajectories. Un…
Maximal acyclic subgraphs and closest stable matrices
Aleksandar Cvetković, Vladimir Yu. Protasov
We develop a matrix approach to the Maximal Acyclic Subgraph (MAS) problem by reducing it to finding the closest nilpotent matrix to the matrix of the graph. Using recent results o…
The greedy strategy in optimizing the Perron eigenvalue
Vladimir Yu. Protasov, Aleksandar Cvetković
We address the problems of minimizing and of maximizing the spectral radius overa compact family of non-negative matrices. Those problems being hard in generalcan be efficiently so…
Stability of linear switching systems and Markov-Bernstein inequalities for exponents
Vladimir Yu. Protasov, Raphael M. Jungers
We analyse the problem of stability of a continuous time linear switching system (LSS) versus the stability of its Euler discretization. It is well-known that the existence of a po…