State feedback \(L_1\)-gain control of positive 2-D continuous switched delayed systems via state-dependent switching

DOI10.1007/s00034-015-0161-yzbMath1346.93201OpenAlexW2157479301MaRDI QIDQ318248

Imran Ghous, Shipei Huang, Zhengrong Xiang

Publication date: 4 October 2016

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-015-0161-y

zbMATH Keywords

switched systems2-D systemspositive systemstime-varying delay\(L_1\)-gain performancestate feedback control

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (6)

Stability and positive observer design for positive 2D discrete-time system with multiple delays ⋮ Robust stability and \(H_\infty\) control problem for 2-D nonlinear uncertain switched system with mixed time-varying delays under fuzzy rules ⋮ \(\ell_1\)-induced norm and controller synthesis for positive 2D systems with multiple delays ⋮ Transformation of 2D Roesser into causal recursive separable denominator model and decomposition into 1D systems ⋮ Necessary and Sufficient Stability Criterion and Stabilization for Positive 2‐D Continuous‐Time Systems with Multiple Delays ⋮ Stability analysis and synthesis for switched Takagi-Sugeno fuzzy positive systems described by the Roesser model

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
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• \(\ell_1\)-induced norm and controller synthesis of positive systems
• Stabilization of 2D saturated systems by state feedback control
• \(H_\infty\) control and filtering of two-dimensional systems
• Delay-dependent exponential stabilization of positive 2D switched state-delayed systems in the Roesser model
• State feedback \(H_\infty\) control for 2-D switched delay systems with actuator saturation in the second FM model
• \(H_\infty\) performance analysis of 2D continuous time-varying delay systems
• LMI approach to stability of 2D positive systems
• LMI conditions for robust stability of 2D linear discrete-time systems
• Delay-dependent stability for 2D systems with time-varying delay subject to state saturation in the Roesser model
• Two-dimensional linear systems
• Positive systems. Proceedings of the first multidisciplinary international symposium on positive systems: Theory and applications (POSTA 2003), Rome, Italy, August 28--30, 2003
• Robust state feedback \(H_\infty \) control for uncertain 2-D continuous state delayed systems in the Roesser model
• Exponential \(L_1\) output tracking control for positive switched linear systems with time-varying delays
• A novel approach to output feedback control of fuzzy stochastic systems
• Lyapunov stability for continuous-time multidimensional nonlinear systems
• Robust \(H_\infty\) filtering for uncertain two-dimensional continuous systems with time-varying delays
• Stability, \(L_1\)-gain and control synthesis for positive switched systems with time-varying delay
• Robust stability and stabilisation of 2d discrete state-delayed systems
• Robust stability and stabilization of uncertain linear positive systems via integral linear constraints:L₁-gain andL_∞-gain characterization
• Stabilisation of discrete 2D time switching systems by state feedback control
• The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model
• A discrete state-space model for linear image processing
• Doubly-indexed dynamical systems: State-space models and structural properties
• Linear Matrix Inequalities in System and Control Theory
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Basic problems in stability and design of switched systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
• On complete Lyapunov–Krasovskii functional techniques for uncertain systems with fast‐varying delays
• Positive 1D and 2D systems

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