Stability conditions for linear discrete-time switched systems in block companion form

Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Cites Work

Unnamed Item
Equivalence between the Lyapunov-Krasovskii functionals approach for discrete delay systems and that of the stability conditions for switched systems
Stability theory of switched dynamical systems
Asymptotic behavior of one-parameter semigroups of positive operators
Delay effects on stability. A robust control approach
Complexity issues in robust stability of linear delay-differential systems
\(\mathcal{H}_\infty\) filtering for discrete-time 2-D switched systems: an extended average dwell time approach
Adaptive stabilization of impulsive switched linear time-delay systems: a piecewise dynamic gain approach
Data-driven switching modeling for MPC using regression trees and random forests
Stability theory for nonnegative and compartmental dynamical systems with time delay
Relationships between asymptotic stability and exponential stability of positive delay systems
Optimizing the Spectral Radius
Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality
JSR
Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
Stability of Time-Delay Feedback Switched Linear Systems
Delay-Independent Minimum Dwell Time for Exponential Stability of Uncertain Switched Delay Systems
Multiple Lyapunov Functions Analysis Approach for Discrete-Time-Switched Piecewise-Affine Systems Under Dwell-Time Constraints
Internally positive representations and stability analysis of linear differential systems with multiple time‐varying delays
Internally Positive Representations and Stability Analysis of Coupled Differential-Difference Systems With Time-Varying Delays
New Results on Stability of Discrete-Time Systems With Time-Varying State Delay
Computationally Efficient Approximations of the Joint Spectral Radius
Stability and Stabilizability Criteria for Discrete-Time Positive Switched Systems