On reachable sets for positive linear systems under constrained exogenous inputs
From MaRDI portal
Publication:340677
DOI10.1016/j.automatica.2016.07.048zbMath1348.93043OpenAlexW2524133441MaRDI QIDQ340677
Yong Chen, Zhan Shu, Baozhu Du, James Lam
Publication date: 14 November 2016
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://eprints.soton.ac.uk/397968/1/15-1403_03_MS.pdf
Linear programming (90C05) Linear systems in control theory (93C05) Attainable sets, reachability (93B03)
Related Items
Output reachable set analysis for periodic positive systems, Improved reachable set estimation for positive systems: a polyhedral approach, Corrigendum to: ``On reachable sets for positive linear systems under constrained exogenous inputs., \(L_1\) fuzzy observer design for nonlinear positive Markovian jump system, Componentwise state bounding of positive time-delay systems with disturbances bounded by a time-varying function, Finite-time contractive boundedness analysis and controller synthesis for interval positive linear systems under \(L_1\)-gain performance, Reachable set estimation of multi-agent systems with semi-Markov switching topologies and time-delay, Reachable set estimation for positive linear discrete-time systems under the constrained disturbance, Enclosing ellipsoid‐based reachable set estimation for discrete‐time singular systems, Set‐invariance‐based interpretations for the L1 performance of nonlinear systems with non‐unique solutions, Stabilization for constrained switched positive linear systems via polyhedral copositive Lyapunov functions, Switched systems approach to state bounding for time delay systems, On positively invariant polyhedrons for continuous-time positive linear systems, Positiveness and observer-based finite-time control for a class of Markov jump systems with some complex environment parameters, Robust finite-time guaranteed cost control for positive systems with multiple time delays, Stability analysis of distributed-order nonlinear dynamic systems, Linear functional state bounding for positive systems with disturbances varying within a bounded set, State bounding for fuzzy memristive neural networks with bounded input disturbances, Observer-based resilient control of positive systems with heterogeneous DoS attacks: a Markov model approach, Finite-time positiveness and distributed control of Lipschitz nonlinear multi-agent systems, Reachable set estimation for switched positive systems, Zonotopic reachable set estimation for bilinear systems with time-varying delays
Cites Work
- Unnamed Item
- Unnamed Item
- Small-time reachable sets of linear systems with integral control constraints: birth of the shape of a reachable set
- \(\ell_1\)-induced norm and controller synthesis of positive systems
- On backwards and forwards reachable sets bounding for perturbed time-delay systems
- Robust stability of uncertain polytopic linear time-delay systems with saturating inputs: An LMI approach.
- On reachable sets for linear systems with delay and bounded peak inputs.
- An analysis and design method for linear systems subject to actuator saturation and disturbance
- Improved results on reachable set bounding for linear systems with discrete and distributed delays
- New results on reachable set estimation and controller design for linear systems with mixed delays via triple integral functionals
- Reachable set estimation and controller design for distributed delay systems with bounded disturbances
- A non-ellipsoidal reachable set estimation for uncertain neural networks with time-varying delay
- Reachable set bounding for nonlinear perturbed time-delay systems: the smallest bound
- Stability, \(L_1\)-gain and control synthesis for positive switched systems with time-varying delay
- Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances
- Duality theorems for certain nonconvex extremal problems
- Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems
- Robust stability and stabilization of uncertain linear positive systems via integral linear constraints:L1-gain andL∞-gain characterization
- Linear Matrix Inequalities in System and Control Theory
- Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
- Dissipativity Theory for Nonnegative and Compartmental Dynamical Systems With Time Delay
- Stability Analysis of Positive Switched Linear Systems With Delays
- Static output feedback control for positive linear continuous‐time systems
- A linear matrix inequality approach to peak-to-peak gain minimization
- Multi-input multi-output ellipsoidal state bounding.
