Zobrazeno 1 - 10
of 221
pro vyhledávání: '"A A, Mironchenko"'
We prove a superposition theorem for input-to-output stability (IOS) of a broad class of nonlinear infinite-dimensional systems with outputs including both continuous-time and discrete-time systems. It contains, as a special case, the superposition t
Externí odkaz:
http://arxiv.org/abs/2410.06013
We consider time-delay systems with a finite number of delays in the state space $L^\infty\times\mathbb{R}^n$. In this framework, we show that forward completeness implies the bounded reachability sets property, while this implication was recently sh
Externí odkaz:
http://arxiv.org/abs/2403.06543
Publikováno v:
IEEE Conference on Decision and Control, Dec 2024, Milan (Italie), Italy
Adapting a counterexample recently proposed by J.L. Mancilla-Aguilar and H. Haimovich, we show here that, for time-delay systems, global asymptotic stability does not ensure that solutions converge uniformly to zero over bounded sets of initial state
Externí odkaz:
http://arxiv.org/abs/2403.00387
We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and provide sufficient conditions for its Kato-stability. An example shows
Externí odkaz:
http://arxiv.org/abs/2302.03344
We consider two systems of two conservation laws that are defined on complementary spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface co
Externí odkaz:
http://arxiv.org/abs/2301.08967
Autor:
Glück, Jochen, Mironchenko, Andrii
We consider generators of positive $C_0$-semigroups and, more generally, resolvent positive operators $A$ on ordered Banach spaces and seek for conditions ensuring the negativity of their spectral bound $s(A)$. Our main result characterizes $s(A) < 0
Externí odkaz:
http://arxiv.org/abs/2210.13566
In this paper, we show that an infinite network of input-to-state stable (ISS) subsystems, admitting ISS Lyapunov functions, itself admits an ISS Lyapunov function, provided that the couplings between the subsystems are sufficiently weak. The strengt
Externí odkaz:
http://arxiv.org/abs/2103.07439
Motivated by the scalability problem in large networks, we study stability of a network of infinitely many finite-dimensional subsystems. We develop a so-called relaxed small-gain theorem for input-to-state stability (ISS) with respect to a closed se
Externí odkaz:
http://arxiv.org/abs/2011.10876
Autor:
Glück, Jochen, Mironchenko, Andrii
We prove new characterisations of exponential stability for positive linear discrete-time systems in ordered Banach spaces, in terms of small-gain conditions. Such conditions have played an important role in the finite-dimensional systems theory, but
Externí odkaz:
http://arxiv.org/abs/2011.02251
Motivated by a paradigm shift towards a hyper-connected world, we develop a computationally tractable small-gain theorem for a network of infinitely many systems, termed as infinite networks. The proposed small-gain theorem addresses exponential inpu
Externí odkaz:
http://arxiv.org/abs/2002.07085