A survey of extreme point results for robustness of control systems
From MaRDI portal
Publication:1802011
DOI10.1016/0005-1098(93)90172-PzbMath0772.93022MaRDI QIDQ1802011
Publication date: 11 October 1993
Published in: Automatica (Search for Journal in Brave)
Related Items
Remarks on an affinity condition in ``A survey of extreme point results for robustness of control systems, Nonlinear interval model control of quasi-keyhole arc welding process, Absolute stability of systems under block diagonal memoryless uncertainties, Guaranteed analysis and optimisation of parametric systems with application to their stability degree, Robust MIMO disturbance observer analysis and design with application to active car steering, Analysis and design of fuzzy control systems using dynamic fuzzy global models, Input-output decoupling for linear systems with nonlinear uncertain structure, Discrete-time convex direction for matrices, Robust output tracking with structured perturbations: a multiple model control based approach, Vladimir Kharitonov: Achievements in research, Note on Schur stability of three‐dimensional interval matrices, Interval continuous plant identification from value sets, Robust control of uncertain systems: classical results and recent developments, Necessary and sufficient conditions for robust oscillation, Structured singular value approach for systems with parametric uncertainty, A test for robust Hurwitz stability of convex combinations of complex polynomials, Condition and algorithm for simultaneous stabilization of linear plants, Robust multivariable PID control for linear parameter varying systems, Probability-guaranteed robust \(H_{\infty }\) performance analysis and state-feedback design, A survey of extreme point results for robustness of control systems, A new robust D-stability condition for real convex polytopic uncertainty, Generation of robust root loci for linear systems with parametric uncertainties in an ellipsoid, Robust output tracking control of SISO plants with multiple operating points and with parametric and unstructured uncertainties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robust stabilization of interval plants using lead or lag compensators
- Some counterexamples in robust stability theory
- Systems of linear interval equations
- Hurwitz testing sets for parallel potytopes of polynomials
- On the convergence of powers of interval matrices
- Some new results on the simultaneous stabilizability of a family of single input, single output systems
- A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
- Robust multivariate scattering Hurwitz interval polynomials
- Sampled-data control systems. Analysis and synthesis, robust system design. (Transl. from the German)
- Root locations of an entire polytope of polynomials: It suffices to check the edges
- Maximal unidirectional perturbation bounds for stability of polynomials and matrices
- Kharitonov's theorem revisited
- On the robust stability of polynomials with no cross-coupling between the perturbations in the coefficients of even and odd powers
- A condition for robust stabilizability
- Extreme point results for robust stability of interval plants: Beyond first order compensators
- Root clustering of interval polynomials in the left-sector
- Structured singular values and stability analysis of uncertain polynomials. II: A missing link
- A survey of extreme point results for robustness of control systems
- Checking robust nonsingularity is NP-hard
- An edge theorem for polytopes of polynomials which can drop in degree
- Convex combinations of stable polynomials
- Fast computation of the multivariable stability margin for real interrelated uncertain parameters
- On the robust Popov criterion for interval Lur'e system
- A new extension to Kharitonov's theorem
- Guaranteed Asymptotic Stability for Some Linear Systems With Bounded Uncertainties
- Vertex implications of stability for a class of delay-differential interval system
- On robust stability of interval control systems
- Counter-example to a recent result on the stability of interval matrices by S. Bialas
- Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†
- Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
- An elementary proof of Kharitonov's stability theorem with extensions
- The minimal dimension of stable faces required to guarantee stability of a matrix polytope
- A class of stability regions for which a Kharitonov-like theorem holds
- Derivation of new and existing discrete-time Kharitonov theorems based on discrete-time reactances (digital signal processing)
- A dual result to Kharitonov's theorem
- Invariance of the aperiodic property for polynomials with perturbed coefficients
- A necessary and sufficient condition for the stability of interval matrices
- Non-Euclidian metrics and the robust stabilization of systems with parameter uncertainty
- Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems
- Robust Schur polynomial stability and Kharitonov's theorem
- Damping margins of polynomials with perturbed coefficients
- On Stability Tests for Some Classes of Dynamical Systems with Perturbed Coefficients
- On the robustness of low-order Schur polynomials
- Invariance of the strict Hurwitz property for bivariate polynomials under coefficient perturbations
- Damping ratio of polynomials with perturbed coefficients
- A generalization of Kharitonov's theorem; Robust stability of interval plants
- A generalization of Kharitonov's four-polynomial concept for robust stability problems with linearly dependent coefficient perturbations
- Exact calculation of the multiloop stability margin
- Parameter space design of robust control systems
- Algebraic design techniques for reliable stabilization
- Robust stability of discrete-time systems using delta operators
- A class of weak Kharitonov regions for robust stability of linear uncertain systems
- Frequency domain conditions for the robust stability of linear and nonlinear dynamical systems
- Kharitonov regions: it suffices to check a subset of vertex polynomials
- Stability conditions for polytopes of polynomials
- Extreme point results for robust stabilization of interval plants with first-order compensators
- Fast computation of the largest stability radius for a two-parameter linear system
- An extreme point result of robust stability of a diamond of polynomials
- Vertex results for the steady state analysis of uncertain systems
- Regulators for linear, time invariant plants with uncertain parameters
- Kronecker products and matrix calculus in system theory
- On the multidimensional generalization of robustness of scattering Hurwitz property of complex polynomials
- A necessary and sufficient condition for the stability of nonnegative interval discrete systems
- On the Nyquist envelope of an interval plant family
- Extreme-point robust stability results for discrete-time polynomials
- A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices
- Method of robust stability analysis with highly structured uncertainties
- Convergence property of interval matrices and interval polynomials
- Simplified sufficient conditions for the asymptotic stability of interval matrices
- Robust stability under structured and unstructured perturbations
- Generalization of strong Kharitonov theorems to the left sector
- Stability robustness of interval matrices via Lyapunov quadratic forms
- A Generalization of a Theorem of Bôcher
