The finite-step realizability of the joint spectral radius of a pair of \(d \times d\) matrices one of which being rank-one
From MaRDI portal
Publication:445812
DOI10.1016/j.laa.2012.04.053zbMath1250.15011OpenAlexW2963712539MaRDI QIDQ445812
Yu Huang, Xiongping Dai, Mingqing Xiao, Jun Liu
Publication date: 27 August 2012
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.053
Asymptotic stability in control theory (93D20) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Related Items
Unnamed Item, On a devil's staircase associated to the joint spectral radii of a family of pairs of matrices, Hourglass alternative and the finiteness conjecture for the spectral characteristics of sets of non-negative matrices, Some criteria for spectral finiteness of a finite subset of the real matrix space \(\mathbb R^{d\times d}\), Rank-one characterization of joint spectral radius of finite matrix family, Almost sure convergence of observers for switched linear systems, Consensus in asynchronous multiagent systems. III: Constructive stability and stabilizability, Consensus in asynchronous multiagent systems. II: Method of joint spectral radius
Cites Work
- Unnamed Item
- Unnamed Item
- Extremal and Barabanov semi-norms of a semigroup generated by a bounded family of matrices
- Realization of joint spectral radius via ergodic theory
- Weakly Birkhoff recurrent switching signals, almost sure and partial stability of linear switched dynamical systems
- An explicit counterexample to the Lagarias-Wang finiteness conjecture
- A Gel'fand-type spectral radius formula and stability of linear constrained switching systems
- Asymptotic stability and generalized Gelfand spectral radius formula
- Structure of extremal trajectories of discrete linear systems and the finiteness conjecture
- Finiteness property of pairs of \(2\times 2\) sign-matrices via real extremal polytope norms
- Lyapunov indicator of discrete inclusions. I
- Sets of matrices all infinite products of which converge
- Bounded semigroups of matrices
- Stability of switched systems: a Lie-algebraic condition
- Periodic motion and tests for absolute stability of nonlinear nonstationary systems
- The finiteness conjecture for the generalized spectral radius of a set of matrices
- The generalized spectral radius and extremal norms
- Inequalities for numerical invariants of sets of matrices
- Characterization of joint spectral radius via trace
- On the asymptotic properties of a family of matrices
- The generalized spectral-radius theorem: An analytic-geometric proof
- Stability of discrete linear inclusion
- Computing the joint spectral radius
- An efficient lower bound for the generalized spectral radius of a set of matrices
- Periodically switched stability induces exponential stability of discrete-time linear switched systems in the sense of Markovian probabilities
- An algorithm for finding extremal polytope norms of matrix families
- On the finiteness property for rational matrices
- Duality results for the joint spectral radius and transient behavior
- Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture
- Criteria of Stabilizability for Switching-Control Systems with Solvable Linear Approximations
- On the Complexity of Computing the Capacity of Codes That Avoid Forbidden Difference Patterns
- Counterexamples to the Complex Polytope Extremality Conjecture
- Finding Extremal Complex Polytope Norms for Families of Real Matrices
- An Elementary Counterexample to the Finiteness Conjecture
- Stability Criteria for Switched and Hybrid Systems
- Complex Polytope Extremality Results for Families of Matrices
- On the zero-stability of variable stepsize multistep methods: The spectral radius approach
- Criteria for the stability of the finiteness property and for the uniqueness of Barabanov norms
