Linear copositive lyapunov function
NettetOn the Common Linear Copositive Lyapunov Functions for Compartmental Switched Systems. Maria Elena Valcher; Pages 27-36. Robust Stabilization for Constrained Switched Positive Linear Systems via Output-Feedback. Jinjin Liu, Shanen Yu, Zhiqiang Li, Ting Zhang; Pages 37-50. NettetThe linear function V(x) = vTx defines a linear copositive Lyapunov function for the positive LTI system ΣA is and only if the vector v ∈ Rn satisfies: (i) v ≻ 0; (ii) ATv ≺ 0. …
Linear copositive lyapunov function
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Nettetterms of copositive Lyapunov functions. The paper [24] also provides examples of systems where a positive definite Lyapunov function does not exist, but the system … Nettet1. mai 2009 · We answer two open questions on copositive Lyapunov functions which were recently posed by M.K. Çamlıbel and J.M. Schumacher in the book Unsolved Problems in Mathematical Systems and Control Theory, edited by V.D. Blondel and A. Megretski [M.K. Çamlibel, J.M. Schumacher, Copositive Lyapunov functions, in: V.D. …
Nettet1. aug. 2009 · On linear copositive Lyapunov functions and the stability of switched positive linear systems. IEEE Transactions on Automatic Control, 52 (7) (2007), pp. … NettetAbstract: This article is concerned with the exponential stability and ℓ 1-gain performance analysis of discrete-time switched positive systems (DTSPSs) under mode-dependent average dwell time (MDADT) switching.A novel linear copositive Lyapunov function, which is both quasi-time-dependent and mode-dependent, is designed for the stability …
Nettet1. jan. 2024 · The function (4) can be treated as a generalized weighted Hölder norm, and, if the system (1) is linear (f j (x j) = x j, j = 1, …, n), then well-known linear … Nettet1 Linear copositive Lyapunov functions for continuous-time positive switched systems Ettore Fornasini and Maria Elena Valcher Index Terms—Switched system, positive linear system, asymp-
NettetLyapunov functions play a key role in the stability analysis of complex systems. In this paper, we study the existence of a class of common weak linear copositive Lyapunov …
NettetIn this paper, the issues of stability and L1-gain performance analysis, by means of the multiple linear copositive Lyapunov function method, for switched positive systems defined on the ... dalla cellula all\\u0027organismo scuola primariaNettet1. okt. 2024 · On linear copositive Lyapunov functions for switched positive systems. October 2011 · Journal of the Franklin Institute. Xiuyong Ding; Lan Shu; Xiu Liu; dalla chiesa caltagirone emailNettet27. sep. 2024 · Abstract: In this paper, the problems of stability analysis and delay control for switched positive linear systems (SPLSs) are studied by using average dwell time (ADT) switching. By developing a new class of multiple piecewise-continuous linear copositive Lyapunov function (MPLCLF) approach, an improved stability condition … dalla chiesa spinelli orari lezioniNettet1. feb. 2016 · By using the so-called “joint linear copositive Lyapunov function” (JLCLF) generalizing the common linear copositive Lyapunov function, we show that the system remains asymptotically stable under appropriate switching if it has a JLCLF. Then, the main result is extended to positive switched linear systems with time delay. dalla chiesa afragola homeNettet24. okt. 2024 · This paper investigates the problem of event-triggered fault detection for switched positive systems. An event-triggering scheme based 1-norm inequality is established to reduce the transmission frequency of filter signal. Using multiple copositive Lyapunov functions, a fault detection filter is proposed under the event-triggering … dalla chiesa figliaNettetterms of copositive Lyapunov functions. The paper [24] also provides examples of systems where a positive definite Lyapunov function does not exist, but the system is nonetheless asymptotically stable and it admits a copositive Lyapunov function. While these existing works have shown the utility of enlarging the search space of Lyapunov ... dalla cervejariaNettetWorld-class research based on a distinctive, interdisciplinary approach to the natural sciences, social sciences, engineering and technology, and the arts and humanities. dalla chioma